In order to calculate the angular momentum of the basketball, we need to know the rotational speed of the ball. Since the ball is dribbled at a speed of 10 mph, we can assume that its rotational speed is much smaller than this. Let's assume that the rotational speed of the ball is r revolutions per minute (rpm).
The angular momentum of the ball is then given by the following formula:
L = I * w
Where I is the moment of inertia of the ball and w is its angular velocity.
The moment of inertia of a sphere is given by the following formula:
I = (2/5) * m * r^2
Where m is the mass of the ball and r is its radius.
Substituting these values into the formula for angular momentum, we get:
L = (2/5) * 0.625 kg * (0.11 m)^2 * r rpm
Solving for r, we get:
r = (5/2) * L / (0.625 kg * (0.11 m)^2)
Therefore, the angular momentum of the basketball is directly proportional to its rotational speed. If we want to increase the angular momentum of the ball, we would need to increase its rotational speed.