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kW, HP, BTU Unit Converter Adicot, Inc.'s online calculator converts kilowatts (kW), horsepower (HP), BTU/h, tons. Quickly and accurately convert units with just a few clicks. The calculator also offers a wide range of units, including kW, HP, BTU/h, tons, and more. Adicot, Inc.'s online calculator is an efficient and effective solution for anyone looking to simplify the process of unit conversions. Whether you're working in the HVAC industry, engineering, or any other field that requires frequent unit conversions, our calculator can help you save time and improve accuracy. Try it out today and experience the benefits for yourself! ​ Instructions: Enter the value of the unit to convert Select one of the following unit types: Btu/hour​ foot pound-force/hour horsepower kilowatt MBH pound-foot/hour ton (refrigeration) watt The Results table will calculate and auto-populate all the conversions. RELATED CALCULATORS: Heating and Cooling Equip Efficiency Converter Ohms Law Temperature Converter Duct Size Calculator kW, HP, BTU Unit converter

Linear Interpolation Methodology, Equations, and Examples ​ Linear interpolation is a numerical method for curve fitting or estimating values between two known data points on a straight line. It is a basic form of interpolation that assumes a linear relationship between the given data points. When you have a set of data points that do not form a smooth curve but instead lie on a straight line, linear interpolation can be used to estimate the values at points between the given data points. This method assumes that the relationship between the data points is linear and fills in the missing values accordingly. ​ Linear interpolation is commonly used in various fields, such as mathematics, computer graphics, data analysis, and engineering. It provides a simple and quick approximation of missing or intermediate values, especially when the data points lie in a straight line. However, other interpolation methods, such as spline interpolation, may be more appropriate for more complex curves or when a smoother fit is required. ​ ​ To perform linear interpolation, we need two adjacent data points, let's call them (x1, y1) a nd (x2, y2), with x1 < x2. The goal is to estimate the value of an unknown point (x, y). The linear interpolation equations are: ​ ​ y = y1(x2-x)/(x2-x1) + y2(x-x1)/(x2-x1) ​ ​ Note that (x - x1) represents the distance between the unknown point and the first data point, (x2-x) represents the distance between the second data point and the unknown point, and (x2 - x1) represents the distance between the two data points. By calculating the ratio of these distances, we can determine the position of the unknown point along the line connecting the two data points. The result will be an estimation of the unknown point's value based on the assumption of a straight line between the two adjacent data points. ​ It's important to note that linear interpolation assumes a linear relationship between data points, which may not always be accurate, particularly if the data exhibits more complex patterns. In such cases, spline interpolation or other more sophisticated methods may be used to achieve more accurate results. However, linear interpolation is a simple and quick method for estimating values within a given range based on a straight-line approximation. ​ Example : Suppose you want to calculate the Total Cooling Capacity of a 5-ton Bryant® package unit . A snippet of the equipment's performance data table at design conditions is provided. For our scenario, the design conditions are: ​ Condenser Entering Air Temperature: 79oF Evaporator Entering Wet Bulb Temperature: 63oF ​ ​ Solution: ​ For Solutions 1, 2, and 3 , use the following inputs, which are provided in the table: ​ y1 = 55.04 MBtuh y2 = 52.59 MBtuh x1 = 75oF x2 = 85oF x = 79oF ​ Solution 1: To graphically find the Total Cooling Capacity at 79oF Condenser Entering Air Temperature and 63oF Evaporator Entering Wet Bulg Temperature, plot the given information on a graph. Plot (x1, y1) where, from the performance data table, x1=75oF, the lower bonding value for x, and y1=55.04MBtuh, the Total Capacity at 75oF. Plot (x2, y2) where, from the performance data table, x2=85oF, the upper bounding value for x, and y2= 52.59 MBtuh, the Total Capacity at 85oF. Draw a straight line between those two points; let's call this line the "slope." Draw a vertical line at x=79oF. Draw a horizontal line from where the vertical line at 79oF intersects the slope to the y-axis. The point at which this line intersects is the y value. For our example, the y value is approximately 54MBtuh . That is, by linear interpolation, when the Condenser Entering Temperature is 79oF, the Total Cooling Capacity is approximately 54 MBtuh. ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Solution 2 : Solve for y using the equation provided: ​ y = y1(x2-x)/(x2-x1) + y2(x-x1)/(x2-x1) ​ = 55.04(85-79)/(85-75) + 52.59(79-75)/(85-75) = 54.06 MBtuh ​ Solution 3: To Solve using the Linear Interpolation calculator, enter the given inputs. The result appears at the bottom of the calculator as 54.06 MBtuh. ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Linear interpolation is commonly used in various fields for the following reasons: ​ Data approximation: Linear interpolation allows us to estimate values between known data points, providing a smooth approximation of the underlying data. This is particularly useful when we have limited data points and want to infer values at intermediate positions. Data visualization: When plotting data on a graph or chart, linear interpolation can be used to fill in missing or incomplete data points. This helps create a more continuous and visually appealing representation of the data. Function approximation: Linear interpolation can be used to approximate a function based on a set of discrete data points. An estimate of the function's behavior between the data points can be obtained by connecting the points with straight lines. This is especially useful when the function is not explicitly known or difficult to compute. Time series analysis: Linear interpolation is often applied in time series analysis to fill in missing values in a sequence of data points. By estimating the missing values using adjacent known values, the time series can be more accurately represented, allowing for more reliable analysis and forecasting. Numerical methods: Linear interpolation is foundational in various numerical methods and algorithms. It is commonly used as a building block for more complex interpolation schemes, such as cubic spline interpolation. Instructions: Fill in values for x1 and x2 , which are the bounding values for x Fill in values for y1 and y2 , which are the bounding values for y Fill in either x or y Click the Calculate button, and the calculator will solve for x if you entered a value for y, or y if you entered a value for x. RELATED CALCULATOR: Bilinear / Double Interpolation Calculator Linear Interpolation Linear Intepolation Example Jump to Examples

Air Change Rate Calculator Instructions: Review the methodology to ensure it aligns with your project's requirements. Select English or SI Units Select Input Criteria - the calculator will solve for the other value. Air Flow Rate​ Air Change Rate Enter the room height Select how to enter the room area: Enter the area directly​ Enter the length and width of the room Click the Calculate button The results will be displayed in the results window Jump to an Example Air Change Rate RELATED CALCULATORS: Coil Selection Calculator Condensate Generated Duct Size Calculator Psychrometric Calculations Air Change Rate Calculation Example Methodology, Equations, and Example: ​ Air change rate, also known as air changes per hour (ACH), measures the number of times the air within a space is completely replaced with fresh air in one hour. It is commonly used to assess and quantify the ventilation efficiency of a room or building. The air change rate is calculated by dividing the total volume of air supplied or extracted from the space by the volume of the space itself. The result is expressed as the number of air changes per hour. ​ ​ Q = ACH x 1hr/60 min x Room Volume ​ Where: Q - Air Flow Rate [ CFM ( l/s )] ACH - Air Changes per Hour Room Volume - L x W x H ​ Example : What volume of Air needs to be supplied to a 12'-0" x 12'-0" room that is 14'-0" high to achieve 3 air changes per hour? ​ Q = (3 Air Changes/hr) x (1hr / 60 mins) x (12'-0" x 12'-0" x 14'-0") = 100.80 CFM (Cubic Feet per Minute) ​ The air change rate is important because it directly impacts indoor air quality and occupant comfort. Here are a few reasons why ACH is used: ​ Ventilation and air quality: Higher ACH values indicate better ventilation and improved air quality. Increasing the rate of air changes helps remove indoor toxins, including odors, volatile organic compounds (VOCs), carbon dioxide, odors, and airborne contaminants. Fresh air is introduced while stale air is expelled, reducing the risk of respiratory issues and promoting a healthier environment. Temperature and humidity control: Proper ventilation through sufficient air changes helps maintain comfortable temperature and humidity levels. It prevents the buildup of excess heat or moisture, which can lead to discomfort, mold growth, and other issues. Controlling airborne pathogens: In settings such as hospitals, laboratories, and cleanrooms, controlling airborne pathogens is crucial. Higher air change rates help dilute and remove infectious particles, reducing the risk of spreading diseases. Compliance with building codes and standards: Many building codes and standards specify minimum air change rates for different types of spaces. These guidelines ensure that occupants have an acceptable air quality and comfort level. ACH values are used to verify compliance during building design, construction, and operation. ​ It's important to note that the optimal air change rate depends on various factors, including the size and function of the space, occupancy levels, and specific requirements or regulations. Engineering professionals and building designers consider these factors in determining the appropriate ACH for a particular environment.

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Psychrometric Chart 2-Condition Calculator RELATED CALCULATORS: Air Mixing Calculator Condensate Generated Duct Size Calculator Coil Leaving Air Temperature Adicot's Psychrometric Chart Calculator is a powerful technical tool designed to facilitate the calculation and analysis of various parameters associated with the thermodynamic properties of air. In addition to standard Psychrometric Calculations, our 2-Condition Calculator also calculates Total, Sensible, and Latent Cooling, Condensate Generated and Airflow Rate per Ton. With its user-friendly interface, this webpage allows users to input key parameters such as dry-bulb temperature, wet-bulb temperature, dewpoint temperature, relative humidity, and altitude. Based on these inputs, the calculator generates a range of essential results, including dew point temperature, enthalpy, humidity ratio, specific volume, atmospheric pressure, saturation vapor pressure, and partial vapor pressure. These results offer a detailed representation of the thermodynamic properties of moist air, enabling engineers to make informed decisions about HVAC system design, analyze the performance of existing systems, and effectively troubleshoot air conditioning issues. The practical applications of Adicot's Psychrometric Chart Calculator are vast. HVAC professionals can leverage its capabilities to optimize the design and efficiency of air conditioning systems, ensuring optimal comfort and energy consumption. Mechanical engineers can use the tool to analyze and fine-tune the performance of ventilation systems, ensuring the safety and well-being of occupants in various environments. By harnessing the power of Adicot's Psychrometric Chart Calculator, air conditioning professionals, and HVAC/mechanical engineers can access a wealth of information and make data-driven decisions. This invaluable resource empowers them to enhance their expertise, streamline their processes, and ultimately deliver high-quality solutions in the field of air conditioning and thermodynamics. Instructions: Select Metric or US units Select the first input parameter: Temperature,Dry Bulb , oF [oC] Temperature,Dew Point , oF [oC] Enter the Entering and Exiting values for the first selected input parameter Select the second input parameter: Temperature,Wet Bulb * , oF [oC] Relative Humidity, % Enter the Entering and Exiting values for the second selected input parameter. Enter the air flow rate to calculate the Total, Sensible, and Latent Cooling, Condensate Generated, and Air Flow Rate per ton. Enter the project's altitude. Click the Calculate button. The results are shown in the Results table * Temperature , Wet Bulb , is only available as an input when the first input is Temperature, Dry Bulb Methodology: ​ The following formulas are used in this calculator. They have been adapted from the 2021 ASHRAE Handbook -Fundamentals. p = 14.696 (1-6.8754 x 10^(-6)Z )^5.2559 t = 59 - 0.00356620Z ​ For 32oF < t < 707.103oF: p,ws = 145.03774 (2C / (-B + (B ^2 - 4AC )^0.5))^4 ​ See ASHRAE Handbook-Fundamentals for Coefficient Values, A , B, and C. ​ W = Mw / Mda ​ RH% = (p,w / p,s ) ​ v = 0.370486 (t,db + 459.67)(1 + 1.607858) / p ​ h = 0.240 t + W (1061 + 0.444t ) ​ p,w = p x W / (0.621945 + W ) ​ where h = specific enthalpy [Btu/lb,da ] p = barometric pressure [psia] p,w = water vapor partial pressure [psia] p,s = saturation water vapor pressure [psia] p,ws = saturation pressure [psia] t = temperature [oF] T,d = dew point temperature [oF] t,db = dry bulb temperature [oF] t,wb = wet bulb temperature [oF] v = specific volume [ft^3/lb,da] W = humidity ratio [lb,w / lb,da] Z = Altitude [ft] Go To our Original Psychrometric Chart Calculator Psychrometric 2 Condition

FLORIDA BUILDING CODE, ENERGY CONSERVATION FILLABLE FORM R402-2022 Residential Building Thermal Envelope Approach Click Here for the Fillable Commercial Energy Form Jump to Energy Form Welcome to the 2020 Florida Energy Conservation Code's Fillable Form 402. Adicot's fillable form allows users to easily and quickly calculate compliance with Florida's Energy Code requirements. This form is based on the 7th Edition of the Florida Energy Conservation Code and includes the 2022 Supplement to the 7th Edition (2020) Florida Building Code . It is a fillable form, so users can quickly update and save their calculations for future reference. This form is invaluable for engineers, contractors, architects, and builders. ​ Instructions: Checklist Tab : Check the boxes indicating which documents will be included with the submission of this form. Project Info Tab : Enter the required project information: Project Name, Project Address, Project County, Owner, whether it is a Worst Case analysis, and the project's Conditioned Floor Area [square feet]. Enter any additional available information, including Builder, Permitting Office, Permit Number, and Jurisdiction Number. Note: if the County options are shown as [Dymanic Dropdown] , you must refresh the page. Insulation & Fenestration Tab : Fill in all the applicable spaces of the “INSTALLED” row in the INSULATION AND FENESTRATION REQUIREMENTS BY COMPONENT table. All “INSTALLED” values must be equal to or more efficient than the required levels. Note: the top left corner of the previous page, FORM R402-2020, shows the Climate Zone. “AVG” indicates the allowed area-weighted average. “LOWEST” indicates the lowest allowable R-value to be installed. Only fill in values for building components that are being replaced. Enter "N/A" for any components not being replaced as part of this project's scope. Check the box indicating whether the project Passes or Fails the R-Valuation Method. Equip Requirements Tab : Fill out each line of the EQUIPMENT REQUIREMENTS AND INSTALLED VALUES Form. Enter "N/A" for any equipment not being installed as part of this project's scope. Check the box indicating whether the Project Passes or Fails the Equipment Efficiency Criteria. Mandatory Tab : Check appropriate boxes indicating which ones you will comply with. Print All forms by selecting the Print All button at the top or bottom of the form. Read, sign, and date the “Prepared By” certification statement at the bottom of this form. The owner or owner’s agent must also sign and date the form. Energy-Residential

Breakeven Calculator Adicot, Inc.'s Breakeven Calculator is perfect for quickly and accurately determining the breakeven point of a project. It allows you to input your sales, variable costs, and fixed costs per period in order to calculate the breakeven point (number of units) and the profit period for the remaining units. With this calculator, you'll be able to make more informed decisions on your projects. ​ Instructions: Enter your Project Name in the Heading Enter the Sales per unit information: Sales price per unit, and​ Sales volume per period Enter the applicable per unit variable costs: Commission​ Direct material Shipping Supplies And any other variable costs Enter the fixed costs per period: Administrative Costs​ Insurance Property tax Rent And any other fixed costs The Breakeven Point as number of units, and the Profit per period for the remaining units are calculated and displayed in the results boxes. ​ RELATED CALCULATORS: Present & Future Value (Engineering Economics) Capital Gains Estimator Breakeven Calculator

Vapor Pressure Deficit (VPD) RELATED CALCULATORS: Condensate Generated Dehumidifier Size Calculator Duct Size Calculator Air Mixing Calculator Welcome to Adicot's online Vapor Pressure Deficit (VPD) calculator—an invaluable resource for those seeking to master the delicate dance between humidity and plant health. Our calculator simplifies the process of determining VPD, a crucial parameter in horticulture and agriculture. By considering temperature and relative humidity, our calculator swiftly generates accurate VPD values, allowing growers and cultivators to fine-tune their environmental conditions for optimal plant growth and productivity. Whether you're a seasoned horticulturist or an aspiring green thumb, Adicot's VPD calculator empowers you to create the ideal microclimate for your plants, ensuring their vitality and success. Harness the power of precision and cultivate excellence with our online VPD calculator. VPD Calculator

COOLING LOAD BALLPARK ESTIMATOR Cooling Load Sanity Check Instructions: Review the methodology to ensure it aligns with your project's requirements. Select US or Metric Units. Enter the project area. Select the building type from the dropdown menu. We encourage you to try different building types to see the full possible range of cooling loads and to better hone in on the correct result for your project. The results will appear in the table. RELATED CALCULATORS: Air Mixing Calculator Condensate Generated Duct Size Calculator Psychrometric Calculations Methodology: The calculator computes the Occupants, Lighting, and Refrigeration based on the building type and the building's square footage. Some building types will result in a range of results, while some will provide singular results for lighting, occupancy, and refrigeration. We encourage you to review the Building Type list and try different building types to understand the possible range and hone in on the best result for your project. Welcome to Adicot's Cooling Load Ballpark Estimator, where precision meets practicality. This powerful tool is designed to quickly and reliably estimate cooling load requirements for various spaces. Whether you're an HVAC professional, an architect, or a building owner, our calculator offers a quick way to get a pre-design ballpark estimate of your cooling load before a full analysis has been performed or to compare with your load calculation results. The calculator is not intended to replace a proper load calculation but instead gives an insight into a range of what other buildings of the same type have historically installed for refrigeration, occupancy, and lights and equipment. These estimates do not consider any of the customary inputs used in a load calculation; for example, building materials efficiencies, geographic location, building orientation, number of windows, etc. When using this calculator, consider that as buildings become more efficient and lighting and equipment become more efficient, the watts and tons will trend lower. This information was adapted from ASHRAE Fundamentals Handbook and other various sources.

Long-term Capital Gains Estimator* *Note: Short-term capital gains, property held for less than one year, are added to your income tax and taxed at the ordinary income tax rate of your tax bracket. Instructions: Review the methodology to ensure it aligns with your project's requirements. Enter the Original Purchase Price of the Property. Enter the Sales Price of the Property. Enter any expenses and improvements incurred to prepare for the sale of the property. Click here to learn more about expenses . Enter the value of any remaining mortgage. This optional input is only used to calculate the Estimated Remaining Cash on Hand. Enter the sales commission on the sale of the property. Select Yes if this has been your primary residence for two of the last five years. For additional information, See IRS Topic 701, Sale of Your Home . Enter your marital status. This will affect your possible exemption amount and your Capital Gains Tax Rate. Enter your 2022 Taxable Income but do not include this capital gain. Your Capital Gains Tax Rate is dependent on your taxable income. For more information, see this Nerd Wallet article, Capital Gains Tax: 2022-2023 Tax Rates and Calculator . Enter the purchase price of your next property. This optional input is only used to calculate the Estimated Remaining cash on Hand. Click the Calculate button to calculate the Estimated Net Proceeds from Sale and Estimated Remaining Cash on Hand. Capital Gains Estimator Methodology, Equations, and Example: ​ Capital gains refer to the profits earned from the sale or disposition of a capital asset, such as stocks, bonds, real estate, or valuable personal property. It represents the difference between the sale price and the asset's original purchase price. A capital gain is realized when the sale price exceeds the purchase price, while a capital loss is incurred if the sale price is lower. Capital gains are typically subject to taxation in many countries, including the United States, where they are taxed at different rates than regular income. The taxation of capital gains can vary depending on factors such as the asset's holding period and the taxpayer's income level. For more specific information and details, it is recommended to consult relevant tax laws and regulations in the particular jurisdiction or visit the IRS Topic No. 409, Capital Gains and Losses . ​ Expenses: When calculating capital gains tax, certain expenses related to preparing the property for sale and closing costs can be considered to reduce the taxable gain. These expenses are generally referred to as "costs of acquisition" and "costs of disposition." Costs of acquisition may include expenses incurred to acquire or improve the property, such as real estate agent commissions, legal fees, title search fees, and any costs associated with renovations or repairs that directly increase the property's value. Disposition costs encompass expenses that directly relate to the sale of the property, including real estate agent commissions, advertising costs, and legal fees involved in the transfer of ownership. Not all expenses may be eligible for a deduction, and the specific rules and regulations regarding the deductibility of these expenses can vary depending on the jurisdiction. This calculator is only an estimator, and it is advisable to consult with a tax professional and refer to relevant tax laws and regulations in your specific jurisdiction for accurate and up-to-date information regarding the deductibility of expenses when calculating capital gains tax. ​ Short Term Capital Gains, property held for one year or less, are added to your income tax. This calculator is to be used only for long-term capital gains. ​ Example: ​ ​ A married couple purchased a home in 2019 for $555,000 and held a $100,000 mortgage . They spent the next four years and $300,000 renovating the property. In 2023, they sold the property for $1,900,000 and paid 7% in real estate fees. Their 2022 combined taxable income is $260,000 . Note that this does not include the capital gain from the sale of their property. ​ Capital Gain = Sales Price x (1 - % Sales Commission ) - Original Purchase Price - Expenses - Excluded Amount ​ Based on the example: $1,900,000 x (1 - 7%) - $555,000 - $300,000 - $500,000 = $412,000 ​ Where: Sales Price - The property's sale price Sales Commission - Commission and fees paid on the property sale. This is known as "costs of deposition" Original Purchase Price - Original purchase price of the property. This is known as "costs of acquisition" Expenses - Expenses incurred to prepare the property for sale. This is known as "costs of acquisition" Excluded Amount - This is an exclusion the IRS allows on the gains. The property must have been the primary residence for two of the last five years. If that condition is met, "you may qualify to exclude up to $250,000 of that gain from your income, or up to $500,000 of that gain if you file a joint return with your spouse." This information is from IRS.gov, Topic No. 701, Sale of your House . ​ ​ ​ ​ Capital Gains Taxable Rate : ​ = Capital Gain + Taxable Income . Look up this value in the table below to calculate the Long Term Capital Gains Rate. ​ RELATED CALCULATORS: Present & Future Value (Engineering Economics) Break-Even Calculator Costs of Acquisiton and Costs of Disposition Long Term Capital Gains Rates Adapted from IRS Topic No. 409, Capital Gains and Losses ​ ​ Based on the example: $412,000 + $260,000 = $672,000 ​ Taxed at 0%: $83,350 Tax Amount: $0 Taxed at 15%: $433,849 Tax Amount: $65,077.35 Taxed at 20%: $154,801 Tax Amount: $30,960.20 $672,000 $96,037.55 ​ Tax rate = $96,037.55 / $672,000 x 100% = 14.29% ​ ​ Where : Taxable Income - Your taxable income, not including this capital gain. ​ ​ Capital Gains Tax: ​ = Capital Gains x Capital Gains Rate ​ Based on the example: $412,000 x 14.29% = $58,880.16 ​ ​ Estimated Net Proceeds from Sale: ​ = Sales Price x (1 - % Sales Commission ) - Original Purchase Price - Expenses - Capital Gains Tax ​ Based on the example: $1,900,000 x (1 - 0.07%) - $555,000 - $300,000 - $58,880 = $853,120 ​ ​ Estimated Remaining Cash on Hand: ​ = Sales Price x (1 - % Sales Commission ) - Capital Gains Tax - Remaining Mortgage (optional ) - New Home Purchase Price (optional) ​ Based on the example: $1,900,000 x (1 - 0.07%) - $58,880 - $100,000 = $1,608,120 ​

SH Window Size Chart Converter ​ Instructions: Select the window Size Code The single-hung window sizes for Frame Size, Masonry Opening, and Clear Opening Size will populate the table. ​ Note that egress windows are denoted with an "*" Window Size Chart Converter Architects and Engineers often use an abbreviated nomenclature to denote the size of single-hung windows. Measurements seem to vary slightly given different manufacturers, so this calculator should be used as a general guide for window frames, masonry openings, and clear opening sizes. For the most accurate results, verify the actual dimensions with the manufacturer. RELATED CALCULATORS: Heating and Cooling Equip Efficiency Converter U/SHGC Default Values Temperature Converter Duct Size Calculator

Bilinear Interpolation / Double Interpolation Instructions: Review the methodology to ensure it aligns with your project's requirements. Enter x1 and x2, which are the known bounding values for x Enter x, which is the value for which you are interpolating Enter y1 and y2, which are the known bounding values for y Enter y, which is the value for which you are interpolating Enter P11, P12, P21, and P22, which are the data points at (x1,y1), (x1,y2), (x2,y1) and (x,y2) respectively. Click the Calculate button, and the interpolated value will be shown in Red in the center box. RELATED CALCULATOR: Linear Interpolation Bilinear Interpolation Methodology, Equations & Example: Adicot, Inc.'s Bilinear Interpolation Calculator is a quick and easy tool to return the interpolated value based on the bilinear interpolation algorithm. The term "bilinear" refers to an interpolation technique that considers the values of the four nearest neighboring pixels (or data points) to estimate the value of a point within the grid. These four points form a square, and the interpolation calculates the weighted average of their values based on the distance from the desired point. In addition to "bilinear interpolation," this technique may also be referred to as "double interpolation" or "bi-linear filtering" in certain contexts. Bilinear interpolation is performed by considering the distances of the desired point from each of the four nearest pixels. The distances are used to calculate weighting factors, which determine the contribution of each pixel to the interpolated value. The closer a pixel is to the desired point, the higher its weight. Once the weights are determined, they are multiplied by the corresponding point values and summed to obtain the interpolated value. ​ The method of Bilinear Interpolation or double interpolation is as follows: ​ Step 1 Perform a linear interpolation at point (x,y1): ​ R( x ,y1 ) = P11(x2-x)/(x2-x1) + P21(x-x1)/(x2-x1) ​ Step 2 Perform a linear interpolation at point (x,y2): ​ R( x,y2 ) = P12(x2-x)/(x2-x1) + P22(x-x1)/(x2-x1) ​ Step 3 Perform a linear interpolation at point (x,y) using the results from Step 1 and Step 2: ​ R( x,y) = R ( x,y1 ) (y2-y)/(y2-y1) + R ( x,y2 ) (y-y1)/(y2-y1) ​ Step 4 Substitute values for R ( x,y2) and R ( x,y2) to find the resulting interpolated value, R(x,y) , at point (x,y): ​ R(x,y) = P11(x2-x)(y2-y)/((x2-x1)(y2-y1)) + P21(x-x1)(y2-y)/((x2-x1)(y2-y1)) + P12(x2-x)(y-y1)/((x2-x1)(y2-y1)) + P22(x-x1)(y-y1)/((x2-x1)(y2-y1)) Jump to Examples Bilinear Interpolation Example Example: Suppose you want to calculate the Total Cooling Capacity of a 5-ton Bryant® package unit . A snippet of the equipment's performance data table at design conditions is provided. For our scenario, the design conditions are: Condenser Entering Air Temperature: 79oF Evaporator Entering Wet Bulb Temperature: 65oF ​ ​ ​ ​ ​ Solution: ​ This problem will be solved three times. Solution 1 will be to actually perform linear interpolation three times using Steps 1, 2, and 3 above. Solution 2 will use the combined bilinear interpolation equation shown in Step 4 above. Solution 3 will show how to use the calculator to quickly and accurately obtain the results. ​ For all solutions, the following inputs are below as provided in the table or given values: ​ P11 = 55.04 MBtuh P12 = 59.00 MBtuh P21 = 52.59 MBtuh P22 = 56.34 MBtuh x1 = 75oF x2 = 85oF y1 = 63oF y2 = 67oF x = 79oF y = 65oF ​ ​ ​ Solution 1: ​ Step 1 : Interpolate around point (x,y1) ​ R ( x ,y1 ) = P11(x2-x)/(x2-x1) + P21(x-x1)/(x2-x1) = 55.04 (85-79)/(85-75) + 52.59 (79-75)/(85-75) = 54.06 MBtuh ​ ​ Step 2: Interpolate around point (x,y2) ​ R( x,y2 ) = P12(x2-x)/(x2-x1) + P22(x-x1)/(x2-x1) = 59.00(85-79)/(85-75) + 56.34(79-75)/(85-75) =57.936 MBtuh ​ ​ Step 3 Perform a linear interpolation at point (x,y) using the results from Step 1 and Step 2: ​ R( x,y) = R ( x,y1 ) (y2-y)/(y2-y1) + R ( x,y2 ) (y-y1)/(y2-y1) = 54.06(67-65)/(67-63) + 57.936(65-63)/(67-63) =55.998 MBtuh ​ ​ ​ ​ Solution 2: ​ The bilinear interpolation as a single equation as shown above: ​ R(x,y) = P11(x2-x)(y2-y)/((x2-x1)(y2-y1)) + P21(x-x1)(y2-y)/((x2-x1)(y2-y1)) + P12(x2-x)(y-y1)/((x2-x1)(y2-y1)) + P22(x-x1)(y-y1)/((x2-x1)(y2-y1)) ​ R(x,y) =55.04(85-79)(67-65)/((85-75)(67-63))+52.59(79-75)(67-65)/((85-75)(67-63))+59.00(85-79)(65-63)/((85-75)(67-63))+56.34(79-75)(65-63)/((85-75)(67-63)) =55.998 MBtuh ​ Solution 3 : To Solve using the calculator, enter the inputs in the same order that they appear in the table. Below is a table showing the inputs. The result is shown in red in the middle of the table as 55.998MBtuh. ​ ​