Question

Q.4 Ratio of moment of inertia of two object 'A' and 'B' is 2:3. Which of the following is
the ratio of torques of 'A' and 'B' respectively if both being rotated with constant
angular acceleration?
A) 3:4
C) 3:2
B) 2:3
D) 4:3
​

Answer 1

Answer:

3:4 as far as I know . Hope this helps you.

Answer 2

The ratio of the torques of A and B when the angular acceleration is the same will be 2:3. (option B)

• Torque can be expressed as the product of the moment of inertia of a body and the angular acceleration.

        i.e. τ = I ∝,

        where τ is the torque, I is the moment of inertia and ∝ is the  

        angular acceleration.

• So, when the angular acceleration is constant, the torque is directly proportional to the moment of inertia.

        i.e. τ ∝ I

• So, their ratios will be the same. That is why when the ratio of moment of inertia is 2:3, the ratio of the torque will also be 2:3 as the angular acceleration is the same.

Hence, we can conclude that the ratio of the torques of A and B will be 2:3

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