The diameters of the main rotor and tail rotor of a single-engine helicopter are
ID: 2139370 • Letter: T
Question
The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.56 m and 1.04 m, respectively. The respective rotational speeds are 443 rev/min and4,143 rev/min. Calculate the speeds of the tips of both rotors.
Compare these speeds with the speed of sound, 343 m/s.
Your response differs from the correct answer by more than 10%. Double check your calculations. m/s tail rotor
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.56 m and 1.04 m, respectively. The respective rotational speeds are 443 rev/min and4,143 rev/min. Calculate the speeds of the tips of both rotors. Compare these speeds with the speed of sound, 343 m/s.
Explanation / Answer
pi = 3.14
One rotation of tip of main rotor = 7.56m * pi = 23.75m
443 * 23.75 = 10521.44 m/minute
10843.42 / 60 seconds per minute = 175.35 m/second
One rotation of tip of tail rotor = 1.04m * pi = 3.26m
4143 * 3.26 = 13536.24 m/minute
12742.68 / 60 seconds per minute = 225.60 m/second
main rotor 175.35 m/second
tail rotor 225.60 m/second