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 is negligible, then linear velocity, acceleration and tension in the string will be

• 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

Answer 1

The correct option is A

$1.88m/s,35.5m/s^2,35.5N$

Linear velocity,
$v=\omega r=2\pi nr=2\times 3.14\times 3\times 0.1=1.88m/s$
Acceleration, $\alpha ={\omega }^{2}r=(6\pi {)}^2\times 0.1=35.5m/s^2$
Tension in string, $T=m{\omega }^{2}r=1\times (6\pi {)}^2\times 0.1=35.5N$