Question

Two wheels have the same mass and radius. Which wheel has more rotational inertia?

a) Wheel with higher mass
b) Wheel with smaller radius
c) Wheel with larger radius
d) Both wheels have the same inertia

Answer 1

The wheel with the larger radius has more rotational inertia.

Step-by-step explanation:

In rotational motion, the rotational inertia (also known as the moment of inertia) depends on both mass and radius. The formula for rotational inertia is I = 0.5 * m * r^2, where I is the rotational inertia, m is the mass, and r is the radius of the wheel. Therefore, if two wheels have the same mass but different radii, the wheel with the larger radius will have more rotational inertia. This is because the rotational inertia increases with the square of the radius. So, the correct answer is wheel with larger radius (c).