Calculate the moment of inertia of a skater given the following information. (a) The 60.0-kg skater is approximated as a cylinder that has a 0.110-m radius. (b) The skater with arms extended is approximately a cylinder that is 52.5 kg, has a 0.110-m radius, and has two 0.900-m-long arms which are 3.75 kg each and extend straight out from the cylinder like rods rotated about their ends.

Step-by-step solution Step 1 of 4 Use the formula for the moment of inertia of the cylinder about its axis and the formula for the uniform rod about the end. The moment of inertia of cylinder about its axis is, Here, M is the mass and r is the radius. The moment of inertia of the rod about an axis passing through its end is, Here, is the mass and l is the length. Step 2 of 4 (a) The moment of inertia of cylinder about its axis is, Substitute for and radius for . Therefore, the moment of inertia of the skater is .