Question

A ball of mass 0.25 kg attached to the ends of a string of length 1.96 m is rotating in a horizontal circle. The string will break, if tension is more than 25 N. What is the maximum velocity with which the ball can be rotated?

• A. 3 m/s
• B. 5 m/s
• C. 9 m/s
• D. 14 m/s

Answer 1

The correct option is D 14 m/s

$m=0.25kg,I=1.96m,T=25N$

Here, $\frac{m{v}^2}{r}=T$

$\Rightarrow \frac{0.25\times v^2}{1.96}=25$

$\Rightarrow v=\sqrt{196}=14m/s$