Question

The angular displacement of an object having uniform circular motion is $\frac{\pi }{4}$ rad in every 3 s.Find the frequency of revolution.

Answer 1

given angular displacement$=\frac{\pi }{4}rad$

time taken$=3s$

so,

angular velocity $\left(w\right)=\frac{angulardisplacement}{time}$

$\Rightarrow w=\frac{\pi }{12}rad/s$

$w=2\pi v$

here,

$V=\frac{w}{2\pi }$

$=\frac{\pi }{12}\times \frac{1}{2\pi }$

$=\frac{1}{24}HZ$