are tasked to determine the thrust developed by a propeller for an unmanned reconnaissance drone which flies at an altitude of 5000 ft. (Don't forget about Appendix C in your book!) You know that the function or the thrust of a propeller is given by -V²D² = 1 (R₁.PD²) where F is the thrust, D is the diameter of the propeller, p is the fluid density, u is the fluid viscosity, w is the angular speed of rotation, and V is the advance velocity. Note that the Reynolds number, Re, is given by pVD f urthermore, you know that the actual drone's propeller has a diameter of 6 ft, rotates at 500 rad/s, and has an advance velocity of 200 ft/s. ou plan on conducting your experiment in a wind tunnel at sea level. The largest propeller you can fit in your wind tunnel has a diameter of 1.5 ft. Determine a) the angular speed of rotation of the model propeller, in rad/s, in order to maintain dynamic similarity a velocitu in ft/s of the edel propeller amic similarit

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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a) 7079

b) 707.9

c) 219.8

You are tasked to determine the thrust developed by a propeller for an unmanned reconnaissance drone which flies at an altitude of 5000 ft. (Don't forget about Appendix C in your book!) You know that the function relationship
for the thrust of a propeller is given by
pD² w
F
pV²D²
= f Re,
μl
where F is the thrust, D is the diameter of the propeller, p is the fluid density, u is the fluid viscosity, w is the angular speed of rotation, and V is the advance velocity. Note that the Reynolds number, Re, is given by
pVD
Re=
μl
Furthermore, you know that the actual drone's propeller has a diameter of 6 ft, rotates at 500 rad/s, and has an advance velocity of 200 ft/s.
You plan on conducting your experiment in a wind tunnel at sea level. The largest propeller you can fit in your wind tunnel has a diameter of 1.5 ft.
Determine
a) the angular speed of rotation of the model propeller, in rad/s, in order to maintain dynamic similarity
b) the advance velocity, in ft/s, of the model propeller in order to maintain dynamic similarity.
c) If you measure the thrust of the model propeller to be 200 lbf, determine the thrust of the actual propeller, in lbf.
Transcribed Image Text:You are tasked to determine the thrust developed by a propeller for an unmanned reconnaissance drone which flies at an altitude of 5000 ft. (Don't forget about Appendix C in your book!) You know that the function relationship for the thrust of a propeller is given by pD² w F pV²D² = f Re, μl where F is the thrust, D is the diameter of the propeller, p is the fluid density, u is the fluid viscosity, w is the angular speed of rotation, and V is the advance velocity. Note that the Reynolds number, Re, is given by pVD Re= μl Furthermore, you know that the actual drone's propeller has a diameter of 6 ft, rotates at 500 rad/s, and has an advance velocity of 200 ft/s. You plan on conducting your experiment in a wind tunnel at sea level. The largest propeller you can fit in your wind tunnel has a diameter of 1.5 ft. Determine a) the angular speed of rotation of the model propeller, in rad/s, in order to maintain dynamic similarity b) the advance velocity, in ft/s, of the model propeller in order to maintain dynamic similarity. c) If you measure the thrust of the model propeller to be 200 lbf, determine the thrust of the actual propeller, in lbf.
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