A golfer can generate a peak angular velocity of 3.89 rev/s. If the distance from the club head to it's axis of rotation is 0.96 meters, calculate the peak linear velocity with which he can hit the ball in meters per second.
To calculate the peak linear velocity with which the golfer can hit the ball, we can use the formula:
Linear velocity = angular velocity * radius
Where:
- Linear velocity is the velocity at which the club head moves in a straight line.
- Angular velocity is the rate at which the club head rotates.
- Radius is the distance from the club head to its axis of rotation.
In this case, the angular velocity is given as 3.89 rev/s (revolutions per second), and the radius is given as 0.96 meters.
To calculate the linear velocity, we need to convert the angular velocity from rev/s to radians/s. Since one revolution is equal to 2π radians, we can convert the angular velocity as follows:
Angular velocity in radians/s = angular velocity in rev/s * 2π
Now, we can calculate the linear velocity:
Linear velocity = angular velocity in radians/s * radius
Substituting the given values, we have:
Linear velocity = (3.89 rev/s * 2π) * 0.96 meters
Calculating this expression will give us the peak linear velocity with which the golfer can hit the ball in meters per second.