Answer to Question #144279 in Chemistry for I

Question

A flywheel of radius 14 in is rotating at the rate of 1000 rpm. How fast does a point on the rim travel in fps?

Answer 1

The angular speed of the flywheel in radians per second is:

$w=\frac{1000 ⋅ 2\pi}{60}=104.7 rad/s$

The linear spped of a point on the rim of the flywheel is:

$v=w⋅r=104.7⋅14=1465.3m/s$

1 m=3.28 feet

v=1465.3 m/s=4806.3 feet/s