Question

A body of mass 1kg 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 1. 1.88m/s, 35.5m/^2 , 35.5N2.2.88m/s, 45.5m/s^2, 45.5N3.3.88m/s, 55.5m/s^2, 55.5N4.None of these

Answer 1

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Answer 2

Tension in the string
T = mv²/R
T = Rω²
T = 0.1 × (3)²
T = 0.1(9)
T = 0.9 N

linear velocity
V = Rω
V = 0.1(3)
V = 0.3 m/s

linear acceleration
a = v²/R
a = (0.3)²/0.1
a = 0.9 m/s²

angular acceleration
α = a/R
α = 0.9/0.1
α = 9 rad/s²