The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.53 m...
The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.53 m and 1.00 m, respectively. The respective rotational speeds are 451 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.
vmain rotor = ______vsound
vtail rotor =________ vsound
Homework Answers
speed = 451 rpm
angular speed of main rotor = 2pi*N / 60 = 2pi*451 / 60 = 47.22 rad/s
linear speed = radius * angular speed
linear speed of main rotor = (7.53/2) * 47.22 = 177.8 m/s
angular speed of tail rotor = 2pi*4150 / 60 = 434.6 rad/s
linear speed of tail rotor = (1/2) * 434.6 = 217.3 m/s
V(main rotor) / V(sound) = 177.8 / 343
V(main rotor) = 0.518 V(sound)
V(tail rotor) / V(sound) = 217.3 / 343
V(tail rotor) = 0.633 V(sound)
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