Airspeed Measurement by Pitot Tube Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity at Point 1 = sqrt((2*(Total Pressure-Static Pressure at Point 1))/(Density))
V1 = sqrt((2*(P0-P1 static))/(ρ0))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Velocity at Point 1 - (Measured in Meter per Second) - Velocity at Point 1 is the velocity of fluid passing through point 1 in flow.
Total Pressure - (Measured in Pascal) - Total Pressure denotes the sum of static pressure and dynamic pressure in a fluid flow.
Static Pressure at Point 1 - (Measured in Pascal) - Static pressure at Point 1 refers to the pressure exerted by a fluid at a specific location in a system, where the fluid is not in motion or has zero velocity.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
STEP 1: Convert Input(s) to Base Unit
Total Pressure: 61710 Pascal --> 61710 Pascal No Conversion Required
Static Pressure at Point 1: 61660 Pascal --> 61660 Pascal No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V1 = sqrt((2*(P0-P1 static))/(ρ0)) --> sqrt((2*(61710-61660))/(997))
Evaluating ... ...
V1 = 0.316703177609768
STEP 3: Convert Result to Output's Unit
0.316703177609768 Meter per Second --> No Conversion Required
FINAL ANSWER
0.316703177609768 0.316703 Meter per Second <-- Velocity at Point 1
(Calculation completed in 00.004 seconds)

Credits

Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
Shikha Maurya has created this Calculator and 100+ more calculators!
Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has verified this Calculator and 200+ more calculators!

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Go Pressure Difference = 0.5*Air Density*Velocity at Point 2^2*(1-1/Contraction Ratio^2)
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Airspeed Measurement by Pitot Tube Formula

Velocity at Point 1 = sqrt((2*(Total Pressure-Static Pressure at Point 1))/(Density))
V1 = sqrt((2*(P0-P1 static))/(ρ0))

Where are Pitot tubes and Static Pressure taps are mounted on the moderns airplanes?

Modern airplanes have a pitot tube mounted at some location on the fuselage. The position of static pressure tap on the surface of the fuselage is critical; it must be located in the region where the surface pressure on the fuselage is equal to the free stream that is the location where the pressure coefficient is zero.

How to Calculate Airspeed Measurement by Pitot Tube?

Airspeed Measurement by Pitot Tube calculator uses Velocity at Point 1 = sqrt((2*(Total Pressure-Static Pressure at Point 1))/(Density)) to calculate the Velocity at Point 1, Airspeed measurement by Pitot Tube is obtained by applying Bernoulli's principle between the free stream and the nose of the pitot tube. Velocity at Point 1 is denoted by V1 symbol.

How to calculate Airspeed Measurement by Pitot Tube using this online calculator? To use this online calculator for Airspeed Measurement by Pitot Tube, enter Total Pressure (P0), Static Pressure at Point 1 (P1 static) & Density 0) and hit the calculate button. Here is how the Airspeed Measurement by Pitot Tube calculation can be explained with given input values -> 0.316703 = sqrt((2*(61710-61660))/(997)).

FAQ

What is Airspeed Measurement by Pitot Tube?
Airspeed measurement by Pitot Tube is obtained by applying Bernoulli's principle between the free stream and the nose of the pitot tube and is represented as V1 = sqrt((2*(P0-P1 static))/(ρ0)) or Velocity at Point 1 = sqrt((2*(Total Pressure-Static Pressure at Point 1))/(Density)). Total Pressure denotes the sum of static pressure and dynamic pressure in a fluid flow, Static pressure at Point 1 refers to the pressure exerted by a fluid at a specific location in a system, where the fluid is not in motion or has zero velocity & The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
How to calculate Airspeed Measurement by Pitot Tube?
Airspeed measurement by Pitot Tube is obtained by applying Bernoulli's principle between the free stream and the nose of the pitot tube is calculated using Velocity at Point 1 = sqrt((2*(Total Pressure-Static Pressure at Point 1))/(Density)). To calculate Airspeed Measurement by Pitot Tube, you need Total Pressure (P0), Static Pressure at Point 1 (P1 static) & Density 0). With our tool, you need to enter the respective value for Total Pressure, Static Pressure at Point 1 & Density 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 Velocity at Point 1?
In this formula, Velocity at Point 1 uses Total Pressure, Static Pressure at Point 1 & Density. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Velocity at Point 1 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(Contraction Ratio^2-1)))
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