Physics Two Dimensional Motion Question 341
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 is negligible, then linear velocity, acceleration and tension in the string will be
[DPMT 2003]
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},,,55.5,,N $ D) None of these
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Answer:
Correct Answer: A
Solution:
Linear velocity, $ v=\omega r=2\pi nr=2\times 3.14\times 3\times 0.1=1.88,m/s $ Acceleration, $ a={{\omega }^{2}}r={{(6\pi )}^{2}}\times 0.1=35.5,m/s^{2} $ Tension in string, $ T=m{{\omega }^{2}}r=1\times {{(6\pi )}^{2}}\times 0.1=35.5,N $
BETA
