Question

A pitcher throws a curveball at 35 m/s directly towards the center of home plate, which is 18 m from the pitcher. The pitch is spinning at 10 revolutions per second. The ball mass is 0.15 kg.

What is the angular velocity (in radians per second) of the curveball's spin?

Answer 1

To calculate the angular velocity of the curveball's spin, multiply the rate of revolutions per second by 2π to convert to radians per second, resulting in an angular velocity of 20π rad/s.

Step-by-step explanation:

The angular velocity (ω) of the curveball's spin can be calculated by using the relation between revolutions per second and radians per second. One revolution is equivalent to 2π radians.

Therefore, if the ball spins at a rate of 10 revolutions per second, the angular velocity in radians per second is:

ω = number of revolutions per second × 2π radians/revolution
ω = 10 rev/s × 2π rad/rev
ω = 20π rad/s

The angular velocity of the curveball's spin is 20π radians per second.