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Consider a 20 kg uniform circular disc of radius 0.2 m. It is pin supported at its center and is at rest initially. The disk is acted upon by a constant force F=20 N through a massless string wrapped around its periphery as shown in the figure. Suppose the disc makes n number of revolutions to attain an angular speed of 50 rad s-1.The value of n, to the nearest integer, is…………….[Given : In one complete revolution, the disk rotates by 6.28 rad]

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answer is 20.

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Detailed Solution

τc=FR=200.2=Iα=200.222α⇒α=10rad/S2Now, ω2−ωo2=2αθ⇒502−0=210θ⇒θ=250020=125=n(2π)⇒n=1256.28=19.9≅20

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Consider a 20 kg uniform circular disc of radius 0.2 m. It is pin supported at its center and is at rest initially. The disk is acted upon by a constant force F=20 N through a massless string wrapped around its periphery as shown in the figure. Suppose the disc makes n number of revolutions to attain an angular speed of 50 rad s-1.The value of n, to the nearest integer, is…………….[Given : In one complete revolution, the disk rotates by 6.28 rad]