Question

Which of the following has greater inertia (a)10rupee coin,(5)rupee coin,(1)rupee coin

Answer 1

Answer: the five rupee coin

The coin with more mass would have greater inertia

Explanation:

Answer 2

ANSWER:

10 rupee coin has greater inertia than all the other.

EXPLANATION:

The moment of inertia depends on the mass and the radius of the object. Let us take the objects one by one

A. The mass of the 10 rupees coin is 7.74 g, the radius of the 10 rupees coin is 10 mm.

B. The mass of the 5 rupees coin is 5.94 g, the radius of the 5 rupees coin is 6 mm.

C. The mass of the 1 rupees coin is 3.54 g, the radius of the 1 rupees coin is 3.5 mm.

Now the formula for the moment of inertia of a disk is

$I=\frac{1}{2} m r^{2}$

Therefore, the moment of inertia for the coins are

$\left.\left.I_{10}\right\rangle I_{5}\right\rangle I_{1}$

As the mass and radius of the 10 rupees coin is greater than 5 which is in turn greater than 1.