A Pitot tube measures a pressure difference Pa = P₁-P₁ (dynamic = total-static) between the front and side of the Pitot tube. The dynamic pressure is given by the kinetic energy due to the airspeed v, allowing airspeed to be calculated from the measured pressure difference. P₁ = ² pv² ⇒ v = 2Pd When designing a Pitot tube, a manufacturer wants to make it precise enough to measure airspeed to within 0.5 % uncertainty, i.e.= 0.005, at sea level. p=(1.225 +0.0005) kg/m³ at sea level.

A Pitot tube measures a pressure difference Pa = P₁-P₁ (dynamic = total-static) between the front and side of the Pitot tube. The dynamic pressure is given by the kinetic energy due to the airspeed v, allowing airspeed to be calculated from the measured pressure difference. P₁ = ² pv² ⇒ v = 2Pd When designing a Pitot tube, a manufacturer wants to make it precise enough to measure airspeed to within 0.5 % uncertainty, i.e.= 0.005, at sea level. p=(1.225 +0.0005) kg/m³ at sea level.

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Description: A Pitot tube measures a pressure difference Pa = Pt- Ps (dynamic = total - static)between the front and side of the Pitot tube. The dynamic pressure is given by thekinetic energy due to the airspeed v, allowing airspeed to be calculated from themeas

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A Pitot tube measures a pressure difference Pa = Pt- Ps (dynamic = total - static)
between the front and side of the Pitot tube. The dynamic pressure is given by the
kinetic energy due to the airspeed v, allowing airspeed to be calculated from the
measured pressure difference.
(a)
P₁ = ² pv² ⇒ v=
When designing a Pitot tube, a manufacturer wants to make it precise enough to measure
airspeed to within 0.5 % uncertainty, i.e. = 0.005, at sea level.
Av
p=(1.225 +0.0005) kg/m³ at sea level.
(b)
2Pd
Av
Using error propagation, derive an expression for Simplify as much as
possible!
ΔΡΑ
Pd
Calculate the maximum permissible %-uncertainty in Pa, i.e.
allow the Pitot tube to meet the manufacturer's requirements.
Hint: Answer 1%
x 100, that will

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