Kinematics Question 791

Question: 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 it’s negligible, then linear velocity, acceleration and tension in the string will be[DPMT 2003]

Options:

A) 1.88m/s,35.5m/s2,35.5N

B) 2.88m/s,45.5m/s2,45.5N

C) 3.88m/s,55.5m/s2,55.5N

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Linear velocity, v=ωr=2πnr=2×3.14×3×0.1=1.88m/s

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

Tension in string, T=mω2r=1×(6π)2×0.1=35.5N



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