Question

A string length 0.1 m cannot bear a tension more than 100 N It is tied to a body of mass 100 g and rotated in horizontal circle . The maximum angular velocity can be -

Answer 1

Tension in the string is balanced by centripetal force in the string.

Let angular velocity is $\omega$, T is the tension in string, r is the length of string and m is the mass of string, $m=100g=0.1Kg$

So,

$m{\omega }^{2}r\le 100$

$0.1\times 0.1{\omega }^2\le 100$

${\omega }^2\le 10000$

$\omega \le 100rad/s$

Thus, angular velocity is less than 100 rad/s