Mass of $0.5 \mathrm{~kg}$ is attached to a string moving in horizontal circle with angular velocity 10…
Mass of $0.5 \mathrm{~kg}$ is attached to a string moving in horizontal circle with angular velocity 10 cycle/min. Keeping the radius constant, tension in the string is made 4
times by increasing angular velocity '\omega'. The value ' $\omega$ ' of that mass will be
$\frac{1}{3}$ cycle $/ \mathrm{s}$
$\frac{1}{2}$ cycle $/ \mathrm{s}$
$\frac{1}{5}$ cycle $/ \mathrm{s}$
$\frac{1}{4}$ cycle $/ \mathrm{s}$
Solution
The angular velocity needs to be doubled to make the tension 4 times. So, if the initial angular velocity is 10 cycles/min, the new angular velocity will be:
$\omega^{\prime}=2 \times 10=20 \text { cycles } / \mathrm{min}$
Answer: (1) 20 cycles/min.