Kinematics Question 743
Question: A stone of mass of 16 kg is attached to a string 144 m long and it’s whirled in a horizontal circle. The maximum tension the string can withstand it’s 16 Newton. The maximum velocity of revolution that can be given to the stone without breaking it, will be [SCRA 1994]
Options:
A) 20 $ m{{s}^{-1}} $
B)16 $ m{{s}^{-1}} $
C) 14 $ m{{s}^{-1}} $
D)12 $ m{{s}^{-1}} $
Show Answer
Answer:
Correct Answer: D
Solution:
Maximum tension = $ \frac{mv^{2}}{r}=16N $
therefore $ \frac{16\times v^{2}}{144}=16 $
therefore v = 12 m/s
