Question

What is the moment of inertia for a solid sphere with a radius of 0.0025 m and a mass of 50 kg?

a) 1.56 × 10⁻⁴ kg·m²

b) 3.92 × 10⁻⁴ kg·m²

c) 9.81 × 10⁻⁴ kg·m²

d) 1.57 × 10⁻³ kg·m²

Answer 1

The moment of inertia for a solid sphere with the given mass and radius is 1.56 × 10⁻⁴ kg·m². Option A is correct.

Step-by-step explanation:

The moment of inertia for a solid sphere can be calculated using the formula:

I = (2/5) * m * r^2

Where I is the moment of inertia, m is the mass of the sphere, and r is the radius of the sphere. Plugging in the given values, we have:

I = (2/5) * 50 kg * (0.0025 m)^2

I = 1.56 × 10⁻⁴ kg·m²

Therefore, the moment of inertia for the solid sphere is 1.56 × 10⁻⁴ kg·m². Option A is correct.