Dynamic Pressure given Induced Drag Calculator

✖The Lift Force, lifting force, or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow.ⓘ Lift Force [F_L]			+10% -10%
✖Induced Drag is caused by that element of the air deflected downward which is not vertical to the flight path but is tilted slightly rearward from it.ⓘ Induced Drag [D_i]			+10% -10%
✖Lateral Plane Span is set of all linear combinations of 2 non-parallel vectors u and v is called the span of u and v.ⓘ Lateral Plane Span [b_W]			+10% -10%

✖Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.ⓘ Dynamic Pressure given Induced Drag [q]

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Dynamic Pressure given Induced Drag Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Pressure = Lift Force^2/(pi*Induced Drag*Lateral Plane Span^2)
q = F_L^2/(pi*D_i*b_W^2)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.
Lift Force - (Measured in Newton) - The Lift Force, lifting force, or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow.
Induced Drag - (Measured in Newton) - Induced Drag is caused by that element of the air deflected downward which is not vertical to the flight path but is tilted slightly rearward from it.
Lateral Plane Span - (Measured in Meter) - Lateral Plane Span is set of all linear combinations of 2 non-parallel vectors u and v is called the span of u and v.

STEP 1: Convert Input(s) to Base Unit

Lift Force: 20.45 Newton --> 20.45 Newton No Conversion Required
Induced Drag: 1.2 Newton --> 1.2 Newton No Conversion Required
Lateral Plane Span: 1.254 Meter --> 1.254 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = F_L^2/(pi*D_i*b_W^2) --> 20.45^2/(pi*1.2*1.254^2)

Evaluating ... ...

q = 70.5440570910867

STEP 3: Convert Result to Output's Unit

70.5440570910867 Pascal --> No Conversion Required

FINAL ANSWER

70.5440570910867 ≈ 70.54406 Pascal <-- Dynamic Pressure

(Calculation completed in 00.008 seconds)

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National Institute of Technology, Hamirpur (NITH), Himachal Pradesh

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< Preliminary Aerodynamics Calculators

Power required at sea-level conditions

LaTeX Go Power Required at Sea-level = sqrt((2*Weight of Body^3*Drag Coefficient^2)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient^3))

Power required at Altitude

LaTeX Go Power Required at Altitude = sqrt((2*Weight of Body^3*Drag Coefficient^2)/(Density*Reference Area*Lift Coefficient^3))

Velocity at Sea-Level given Lift Coefficient

LaTeX Go Velocity at Sea-Level = sqrt((2*Weight of Body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient))

Velocity at Altitude

LaTeX Go Velocity at an Altitude = sqrt(2*Weight of Body/(Density*Reference Area*Lift Coefficient))

Dynamic Pressure given Induced Drag Formula

LaTeX Go

Dynamic Pressure = Lift Force^2/(pi*Induced Drag*Lateral Plane Span^2)
q = F_L^2/(pi*D_i*b_W^2)

What is dynamic pressure?

Dynamic pressure is the kinetic energy per unit volume of a fluid. Dynamic pressure is one of the terms of Bernoulli's equation, which can be derived from the conservation of energy for a fluid in motion.

How to Calculate Dynamic Pressure given Induced Drag?

Dynamic Pressure given Induced Drag calculator uses Dynamic Pressure = Lift Force^2/(pi*Induced Drag*Lateral Plane Span^2) to calculate the Dynamic Pressure, Dynamic Pressure given Induced Drag is a measure of the pressure exerted on an airfoil or a wing, resulting from the creation of lift and induced drag, and is used in preliminary aerodynamics to estimate the drag force generated by the wing, it is a critical concept in aerodynamics, allowing engineers to optimize wing design and improve aircraft performance. Dynamic Pressure is denoted by q symbol.

How to calculate Dynamic Pressure given Induced Drag using this online calculator? To use this online calculator for Dynamic Pressure given Induced Drag, enter Lift Force (F_L), Induced Drag (D_i) & Lateral Plane Span (b_W) and hit the calculate button. Here is how the Dynamic Pressure given Induced Drag calculation can be explained with given input values -> 70.6567 = 20.45^2/(pi*1.2*1.254^2).

FAQ

What is Dynamic Pressure given Induced Drag?

Dynamic Pressure given Induced Drag is a measure of the pressure exerted on an airfoil or a wing, resulting from the creation of lift and induced drag, and is used in preliminary aerodynamics to estimate the drag force generated by the wing, it is a critical concept in aerodynamics, allowing engineers to optimize wing design and improve aircraft performance and is represented as q = F_L^2/(pi*D_i*b_W^2) or Dynamic Pressure = Lift Force^2/(pi*Induced Drag*Lateral Plane Span^2). The Lift Force, lifting force, or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow, Induced Drag is caused by that element of the air deflected downward which is not vertical to the flight path but is tilted slightly rearward from it & Lateral Plane Span is set of all linear combinations of 2 non-parallel vectors u and v is called the span of u and v.

How to calculate Dynamic Pressure given Induced Drag?

Dynamic Pressure given Induced Drag is a measure of the pressure exerted on an airfoil or a wing, resulting from the creation of lift and induced drag, and is used in preliminary aerodynamics to estimate the drag force generated by the wing, it is a critical concept in aerodynamics, allowing engineers to optimize wing design and improve aircraft performance is calculated using Dynamic Pressure = Lift Force^2/(pi*Induced Drag*Lateral Plane Span^2). To calculate Dynamic Pressure given Induced Drag, you need Lift Force (F_L), Induced Drag (D_i) & Lateral Plane Span (b_W). With our tool, you need to enter the respective value for Lift Force, Induced Drag & Lateral Plane Span and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Dynamic Pressure?

In this formula, Dynamic Pressure uses Lift Force, Induced Drag & Lateral Plane Span. We can use 3 other way(s) to calculate the same, which is/are as follows -

Dynamic Pressure = Lift Force/Lift Coefficient
Dynamic Pressure = Drag Force/Drag Coefficient
Dynamic Pressure = 1/2*Ambient Air Density*Flight Speed^2

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