Understanding Angular Momentum
Angular momentum (L) is a measure of an object's tendency to rotate. It's calculated as:
* L = Iω
Where:
* L is the angular momentum (in kg m²/s)
* I is the moment of inertia (in kg m²)
* ω is the angular velocity (in rad/s)
Calculating Moment of Inertia (I)
Since the ball is rotating on a thin string, we can approximate it as a point mass. The moment of inertia of a point mass about an axis of rotation is:
* I = mr²
Where:
* m is the mass (in kg)
* r is the distance from the axis of rotation (in meters)
Putting it Together
1. Calculate the moment of inertia:
* I = (0.730 kg) * (0.950 m)² = 0.658 kg m²
2. Calculate the angular momentum:
* L = (0.658 kg m²) * (14.7 rad/s) = 9.67 kg m²/s
Therefore, the angular momentum of the ball is 9.67 kg m²/s.
