Final answer:
The angular momentum of the flywheel can be calculated using the formula: angular momentum = moment of inertia * angular velocity. The moment of inertia for a uniformly thick disk can be calculated using (1/2) * mass * radius^2. Once the moment of inertia and angular velocity are known, the angular momentum can be calculated by multiplying the two values.
Step-by-step explanation:
Angular momentum is the rotational equivalent of linear momentum and is calculated by multiplying the moment of inertia and the angular velocity. The moment of inertia of a uniformly thick disk is given by (1/2) * mass * radius^2. Given that the radius is 1.18 m and the mass is 94.6 kg, we can calculate the moment of inertia. The angular velocity is given as 443 rpm, which needs to be converted to rad/s before calculating the angular momentum.
Using the formula:
Angular momentum = moment of inertia * angular velocity
we have:
Moment of inertia = (1/2) * mass * radius^2 = (1/2) * 94.6 kg * (1.18 m)^2
Angular velocity = rpm * (2 * π/60s)
After substituting the given values and calculating, we find that the angular momentum of the flywheel is approximately 596 kg * m^2/s.