Question

calculate the moment of inertia for a solid sphere with radius 0.016 m and mass 0.91 kg. express your answer in si units (but don't write the units into the box). calculate the moment of inertia for a solid sphere with radius 0.016 m and mass 0.91 kg. express your answer in si units (but don't write the units into the box).

Answer 1

The moment of inertia for a solid sphere with a radius of 0.016 m and mass of 0.91 kg is 0.093184 kg · m², calculated using the formula I = (2/5)MR².

Step-by-step explanation:

The moment of inertia for a solid sphere can be calculated using the formula I = (2/5)MR², where I is the moment of inertia, M is the mass of the sphere, and R is the radius of the sphere. In this case, we are given a sphere with a mass of 0.91 kg and a radius of 0.016 m. Using the formula, we find that:

I = (2/5) × (0.91 kg) × (0.016 m)²
I = (2/5) × (0.91 kg) × (0.000256 m²)
I = (2/5) × (0.91 kg) × 0.000256 m²
I = (2/5) × 0.23296 kg · m²
I = 0.093184 kg · m²

So, the moment of inertia for the given solid sphere is 0.093184 kg · m².