Answer to Question #216686 in Mechanics | Relativity for Jessy

Question

(9.19) A flywheel turns at 480 rpm. Compute the angular speed at any point on the wheel and
the tangential speed if it has a radius of 30 cm. Note: tangential speed can be considered as the
linear speed of the wheel.

Answer 1

rpm=480

to convert rpm to rad/s

$rad/s=rpm\times2\frac{\pi}{60}$

$=480\times2\frac{\pi}{60}$

$=50.29rad/s$

tangential speed

V$_{r} =r\omega$

radius is 30cm which is 0.3m

$50.29\times0.3m=15.1$

V$_{r} =15.1m/s$