Calculate the rotational inertia of a wheel that has a kinetic energy of 41.6 kJ when rotating at 264 rev/min.

To calculate the rotational inertia of a wheel, you can use the formula:

Rotational Inertia (I) = (Kinetic Energy (K) * 60^2) / (2 * π * n^2)

where K is the kinetic energy in joules, n is the rotational speed in revolutions per minute (RPM), π is a mathematical constant approximately equal to 3.14159, and 60^2 is used to convert RPM to seconds.

Let's plug in the values given:

K = 41.6 kJ = 41.6 * 1000 J
n = 264 RPM

Substituting these values into the formula:

I = (41.6 * 1000 J * 60^2) / (2 * π * 264^2 RPM^2)

Now, we can simplify and evaluate this equation to find the rotational inertia of the wheel.