Answer to Question #127605 in Classical Mechanics for kumera

Question

The tip of an airplane propeller blade is travelling at 295 m/s. If the radius of the propeller is 1.35 m, what is the period of rotation of the propeller blade?

Answer 1

The speed of an end of airplane propeller blade is related with its period of rotation by equation

$$v=\frac{2\pi R}{T}$$

Hence, the period of rotation of the propeller blade

$$T=\frac{2\pi R}{v}=\frac{2\pi \times 1.35\:\rm m}{295\:\rm m/s}=0.0287\:\rm s$$