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What will be the moment of inertia of the disk of radius 0.5m and mass 1kg?a.125kgm2b.0.125kgm2c.12.5kgm2d.1.25kgm2

Question

What will be the moment of inertia of the disk of radius 0.5m and mass 1kg?a.125kgm2b.0.125kgm2c.12.5kgm2d.1.25kgm2

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Solution

The moment of inertia (I) of a disk is given by the formula:

I = 0.5 * m * r^2

where: m is the mass of the disk, r is the radius of the disk.

Given: m = 1 kg, r = 0.5 m.

Substituting these values into the formula, we get:

I = 0.5 * 1 kg * (0.5 m)^2 I = 0.5 * 1 kg * 0.25 m^2 I = 0.125 kg*m^2

So, the moment of inertia of the disk is 0.125 kgm^2. Therefore, the correct answer is b. 0.125 kgm^2.

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