Question

A pulley is rotating with an angular speed of 94.5 rad/sec. Compute the tangential speed of the pulley if it has a radius of 0.20 m.

a) 18.9 m/s
b) 37.8 m/s
c) 9.45 m/s
d) 47.25 m/s

Answer 1

The tangential speed of the pulley is 18.9 m/s.

Step-by-step explanation:

The tangential speed of a rotating pulley can be calculated using the formula:

Tangential Speed = Angular Speed × Radius

Given that the angular speed of the pulley is 94.5 rad/sec and the radius is 0.20 m, we can plug in these values to get:

Tangential Speed = 94.5 rad/sec × 0.20 m = 18.9 m/s

Therefore, the tangential speed of the pulley is 18.9 m/s (option a).