1.

A body of mass 1 kg tied to one end of string is revolved in a horizontal circle of radius 0.1 m with a speed of 3 revolution/s. Assuming the effect of gravity is negligible, then linear velocity, acceleration and tension in the string will be(A) 1.88 m/s, 35.5 m/s2 , 35.5 N (B) 2.88 m/s, 45.5 m/s2 , 45.5 N (C) 3.88 m/s, 55.5 m/s2 , 55.5 N (D) None of these

Answer»

Answer is (A) 1.88 m/s, 35.5 m/s2 , 35.5 N

Linear velocity, v = ωr = 2πnr

= 2 x 3.14 x 3 x 0.1 

= 1.88 m/s

Acceleration, a = ω2r = (6π) 2 x 0.1 = 35.5 m/s2 

Tension in string, T = m ω2r = 1 x (6π)2 

= 1 x (6π) 2 x 0.1 

= 35.5 N



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