A softball bat is rotating at 460 rotations per minute at contact with the ball. What is the angular velocity in radians?

To find the angular velocity in radians, we need to convert the given angular velocity from rotations per minute to radians per second. Here's how we can do that:

1. Start with the given angular velocity in rotations per minute: 460 rotations/minute.

2. Convert minutes to seconds: Since there are 60 seconds in a minute, we multiply 460 rotations/minute by (1 minute/60 seconds) to get 460 rotations/60 seconds.

3. Convert rotations to radians: Since there are 2π radians in one rotation, we multiply 460 rotations/60 seconds by (2π radians/1 rotation) to get 460 * 2π/60 radians/second.

4. Simplify the expression: The expression 460 * 2π/60 radians/second can be simplified to 46π/6 radians/second.

Therefore, the angular velocity in radians is 46π/6 radians/second.