High School

Calculate the moment of inertia (in kg·m²) of a solid disk with a mass of 84 kg and a radius of 3.1 meters rotating about its central axis. Use the table in your textbook if necessary.

Express your answer as a single value.

Answer :

The moment of inertia of the solid disk is 402.12 kg.m^2. the mass of the disk is given as 84 kg and the radius is 3.1 meters.

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

I = (1/2) * m * r^2

Where I is the moment of inertia, m is the mass of the disk, and r is the radius of the disk.



Plugging these values into the formula, we have:

I = (1/2) * 84 kg * (3.1 m)^2

Calculating this, we get:

I = (1/2) * 84 kg * 9.61 m^2

I = 402.12 kg.m^2
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