A particle of mass 5 kg is moving on a circle of radius 1m with an angular velocity of $2…

A particle of mass 5 kg is moving on a circle of radius 1m with an angular velocity of $2 \mathrm{rads}^{-1}$. The centripetal force is
  1. 10 N
  2. 40 N
  3. 30 N
  4. 20 N

Solution

Given, mass, m = 5kg, radius, r = 1m Angular velocity, $\omega=2 \mathrm{rad} \mathrm{s}^{-1}$ Centripetal force = Mass * Centripetal acceleration $\begin{aligned} & =m \times \omega^2 r \\ & =5 \times(2)^2 \times 1 \\ & =20 \mathrm{~N}\end{aligned}$

Asked in: MHT CET Full Test 12

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