Understanding the Moment of Inertia in Alex's Rolling Hoop Competition

Exploring the Concept of Moment of Inertia in Hoop Rolling

Moment of Inertia Formula: The moment of inertia is calculated using the formula I = mr2, where m is the mass of the object and r is the radius.

In the case of Alex and his rolling hoop, the hoop has a mass of 0.350 kg and a radius of 75.0 cm, which is equivalent to 0.75 meters when converted. By substituting these values into the formula, we can determine the moment of inertia:

moment of inertia = (0.350)(0.75)2
moment of inertia = (0.350)(0.5625)
moment of inertia = (0.197) kg ⋅ m2

Therefore, the moment of inertia of Alex's rolling hoop in the competition is 0.197 kg ⋅ m2. This value represents the resistance of the hoop to changes in its rotational motion as it rolls down the course.