Question

A wheel is rotating at 5 radians/sec, and the wheel has a 62-inch diameter. To the nearest foot per minute, what is the speed of a point on the rim?

Answer 1

It's linear velocity, right?

Answer 2

V = rw
where V is the linear velocity
r is the radius which is 62/2
w is the angular velocity which is 5rads/s

Answer 3

Hence you will arrive at
\[V = 31(5)\]
\[V = 155\]
but it is in terms inch per sec. So we'll have to convert it

Answer 4

\[V = 155 (\frac{ 1ft }{ 12inch })(\frac{ 60s }{ 1\min })\]
Hence we wil have V = 775ft/min

Answer 5

Thank you so much!