A softball player swings her bat through her full range of motion of 392 degrees in 0.3 secs. What is the angular velocity of the bat? What is the average acceleration of the bat?
To find the angular velocity of the bat, we need to divide the change in angle by the time taken. In this case, the change in angle is given as 392 degrees and the time taken is 0.3 seconds. You can use the formula:
Angular velocity = Change in angle / Time taken
Substituting the values, we get:
Angular velocity = 392 degrees / 0.3 seconds
However, to obtain the answer in the proper unit of measurement, we need to convert degrees into radians since angular velocity is typically measured in radians per second. Since 1 full revolution is equal to 360 degrees, and 1 radian is equal to 180 degrees divided by pi (approximately 3.14159), we can convert degrees to radians by multiplying by pi/180.
Therefore, the formula becomes:
Angular velocity = (392 degrees * pi/180) / 0.3 seconds
Evaluating this expression will give you the angular velocity of the bat.
To determine the average acceleration of the bat, we need more information such as the initial and final velocities. Acceleration is given by the formula:
Average acceleration = (Final velocity - Initial velocity) / Time taken
Without the specific velocities, we cannot calculate the average acceleration.