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. 125 kgm²
b. 0.125 kgm²
c. 12.5 kgm²
d. 1.25 kgm²
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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