TS EAMCET · Physics · Rotational Motion
Two uniform circular discs having the same mass and the same thickness but different radii are made from different materials. The disc with the smaller rotational inertia is
- A the one made from the more dense material
- B the one made from the less dense material
- C the disc with the larger angular velocity
- D the disc with the larger torque
Answer & Solution
Correct Answer
(A) the one made from the more dense material
Step-by-step Solution
Detailed explanation
Moment of inertia of circular disc \(=\frac{1}{2} M R^2\) \(\begin{aligned} =\frac{1}{2} M\left(\frac{M}{\pi t \rho}\right) & =\frac{1}{2} \frac{M^2}{\pi t \rho} \\ (\text { As } M & \left.=\pi R^2 t \rho \Rightarrow R^2=\frac{M}{\pi t \rho}\right) \end{aligned}\) If mass and…
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