TS EAMCET · Physics · Rotational Motion
A wheel of mass \(20 \mathrm{~kg}\) and radius \(30 \mathrm{~cm}\) is rotating at an angular speed of \(80 \mathrm{rev} / \mathrm{min}\) when the motor is turned off. Neglecting the friction at the axis, calculate the force that must be applied tangentially to the wheel to bring it to rest in 5 rev.
- A \(1.06 \pi \mathrm{N}\)
- B \(2.06 \pi \mathrm{N}\)
- C \(3.06 \pi \mathrm{N}\)
- D \(4.06 \pi \mathrm{N}\)
Answer & Solution
Correct Answer
(A) \(1.06 \pi \mathrm{N}\)
Step-by-step Solution
Detailed explanation
Given that, mass of wheel, \(m=20 \mathrm{~kg}\) Radius, \(R=30 \mathrm{~cm}=30 \times 10^{-2} \mathrm{~m}\) Initial angular speed, \(\begin{aligned} \omega_0 & =80 \mathrm{rpm}=\frac{80 \times 2 \pi}{60} \\ & =\frac{8 \pi}{3} \mathrm{rad} / \mathrm{s}\end{aligned}\) Angular…
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