Answered: The diameters of the main rotor and…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 14PQ

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Question

The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.61 m and 1.04 m, respectively. The respective rotational speeds are 456 rev/min and 4,150 rev/min. Calculate the speeds of the tips of both rotors.

main rotor =	m/s
tail rotor =	m/s

Compare these speeds with the speed of sound, 343 m/s.

v_{main rotor}	=	v_sound
v_{tail rotor}	=	v_sound

Expert Solution

Step 1

Given :

d₁ = 7.61 m

d₂ = 1.04 m

w₁ = 456 rev/min = 456(2π/60) = 47.75 rad/s

w₂ = 4150 rev/min = 4150(2π/60) = 434.59 rad/s

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