Answer to Question #313017 in Physics for Cap

Question

An airplane propeller is rotating at 1900 rev/min.

(a) Compute the angular velocity in rad/s.

(b) How long in seconds does it take for the propeller to turn through 350 degrees?

Answer 1

(a) Compute the angular velocity in rad/s.

$$\omega=2\pi n\\ =\rm 6.28\: rad*1900*\frac{1}{60\:\rm s}=199\: rad/s$$

(b) How long in seconds does it take for the propeller to turn through 350 degrees?

$$\Delta t=\frac{\Delta \theta}{\omega}$$

$$\Delta t=\frac{350^\circ*\frac{\pi\:\rm rad}{180^\circ}}{199\: \rm rad/s}=0.031\:\rm s$$