High School

The skater's mass is 67 kg. As they perform a pirouette, they rotate about a vertical axis through their center of mass. Assuming a uniform cylinder model, what is their moment of inertia?

Answer :

The moment of inertia for a skater modeled as a uniform cylinder is calculated using the formula I = (1/2)mr^2. The mass of the skater is 67 kg, but the radius is needed to compute the specific numerical value.

To calculate the moment of inertia of a skater modeled as a uniform cylinder, we use the formula I = (1/2)mr2, where I is the moment of inertia, m is the mass of the cylinder, and r is the radius. Given that the skater's mass is 67 kg, we would need the radius of this human-cylinder to provide a numerical answer. If the radius were provided, a specific moment of inertia could be calculated. Generally, for a skater with arms tucked in, the mass would be concentrated closer to the rotational axis, resulting in a smaller moment of inertia compared to when the arms are stretched out.