Tigger likes to play golf. For this particular shot, the distance between the spine and the clubhead (aka the distance of the golfclub + arm) is 1.6 m. When the clubhead hits the ball, it is travelling at 50 m/s.
How fast is the body and the club rotating? That is, what is the angular velocity of the clubhead?
Answer in degrees/second.
To determine the angular velocity of the clubhead, we can use the formula:
Angular Velocity = (Linear Velocity) / (Radius)
In this case, the linear velocity is given as 50 m/s, and we need to find the radius.
The radius can be calculated by subtracting the length of the golf club from the distance between the spine and the clubhead. From the given information, we know that the distance between the spine and the clubhead is 1.6 m, but we need to find the length of the golf club.
Assuming Tigger's arm length is not given, we cannot determine the exact length of the golf club. However, we can assume an average arm length for a person and proceed with the calculations.
Let's assume the average arm length to be around 0.7 meters. Therefore, the length of the golf club would be the difference between the total distance and the arm length: 1.6 m – 0.7 m = 0.9 m.
Substituting the values into the formula:
Angular Velocity = 50 m/s / 0.9 m
Calculating this, we find:
Angular Velocity ≈ 55.56 rad/s
To convert this value to degrees/second, we multiply by the conversion factor 180°/π radians:
Angular Velocity ≈ 55.56 rad/s * (180°/π)
Calculating this, we get:
Angular Velocity ≈ 3181.82°/s
Therefore, the angular velocity of the clubhead is approximately 3181.82 degrees/second.