Question

A particle makes 240 revolution per minute (rpm)on a circle of radius 3.5.find it's

Angular velocity

Linear velocity

Linear acceleration

Answer 1

$\omega = 240rpm$

$r = 3.5m$

$\text{Angular velocity:}$

$\text{In the case of rotational motion, the angular frequency is equal to}$

$\text{the modulus of the angular velocity vector.}$

$\omega = \frac{240*2*\pi}{60}=25.13\frac{rad}{s}$

$\text{Linear velocity:}$

$v =\omega r = 87.96\frac{m}{s}$

$\text{Linear acceleration:}$

$a = \frac{v^2}{r}=2210\frac{m}{s^2}$