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"//sec` , assuming the effect of gravity is negligible, then linear velocity, acceleration and tension in the string will be

Options

A. `1.88 m//s, 35.5 m//s^(2), 35.5 N`
B. `2.88 m//s, 45.5 m//s^(2), 45.5 N`
C. `3.88 m//s, 55.5 m//s^(2), 55.55 N`
D. None of these

Answer

A

Explanation

Linear velocity
`v = rw = 0.1 xx 2pi xx 3 = 1.88 m//s`
Acceleration (a) `=v^(2)/r = (1.88)^(2)/0.1 = 35.5 m//s^(2)`
Tension (T) `=(mv^(2))/r = 1 xx 35.5 = 35.5 N`