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/s^{2},35.5N $
B) $ 2.88m/s,45.5m/s^{2},45.5N $
C) $ 3.88m/s,55.5m/s^{2},55.5N $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Linear velocity, $ v=\omega r=2\pi nr=2\times 3.14\times 3\times 0.1=1.88m/s $
Acceleration, $ a={{\omega }^{2}}r={{(6\pi )}^{2}}\times 0.1=35.5m/s^{2} $
Tension in string, $ T=m{{\omega }^{2}}r=1\times {{(6\pi )}^{2}}\times 0.1=35.5N $
