Question

Suppose we want to calculate the moment of inertia of a 61 kg skater, relative to a vertical axis through their center of mass. What is the formula to calculate the moment of inertia?

Answer 1

The formula to calculate the moment of inertia of a skater relative to a vertical axis through their center of mass is I = MR² or I = ½MR² for a cylinder. Where I is the moment of inertia, M is the mass of the skater, and R is the distance between the axis of rotation and the skater's center of mass.

Step-by-step explanation:

The formula to calculate the moment of inertia of a skater relative to a vertical axis through their center of mass is given by the equation:

I = MR²

Where:

• I is the moment of inertia
• M is the mass of the skater
• R is the distance between the axis of rotation and the skater's center of mass

In this case, since the skater is approximated as a cylinder, you can use the equation:

I = ½MR²

Where:

• ½ is a constant that depends on the shape of the object (cylinder in this case)