Question

a pitcher throws a curveball that reaches the catcher in 0.57 s. the ball curves because it is spinning at an average angular velocity of 301 rev/min (assumed constant) on its way to the catcher's mitt. what is the angular displacement of the baseball (in radians) as it travels from the pitcher to the catcher?

Answer 1

The angular displacement of the baseball as it travels from the pitcher to the catcher is 5.714 radians.

Step-by-step explanation:

The angular displacement of the baseball can be calculated using the formula:

angular displacement = angular velocity x time

First, we need to convert the given angular velocity in rev/min to rad/s.

In order to do this, we need to know that 1 revolution is equal to 2π radians. So, the angular velocity in rad/s is calculated as:

angular velocity = (301 rev/min) x (2π rad/1 rev) x (1 min/60 s)

= 10.02 rad/s

Now, we can substitute the values into the formula:

angular displacement = (10.02 rad/s) x (0.57 s)

= 5.714 rad

Therefore, the angular displacement of the baseball as it travels from the pitcher to the catcher is 5.714 radians.