A body of mass 10 kg revolves in a circle of diameter 0.40 m, making 1000 revolutions per minute. Calculate it’s linear velocity.

Foundation

Physics Foundation

Circular Motion

Question

0.2π m/s

$\frac{200 π}{3} m / s$

$\frac{20 π}{3} m / s$

$\frac{2 π}{3} m / s$

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Diameter, D = 2 R (R is radius)

or R = $\frac{D}{2} = \frac{0 .40}{2}$ = 0.20 m

𝜔 = 2πf (Here f is frequency)

$f = \frac{1000 rev .}{min} = \frac{1000}{60} \times \frac{rev .}{\sec .} = \frac{50}{3} \frac{rev .}{\sec}$

$v = ωR = 2 π \times \frac{50}{3} \times 0 .2$

= $\frac{20 π}{3}$ m/s

Please subscribe our Youtube channel to unlock this solution.