Question

A mass of 10kg is moving in a circular Path of radius 2m with a uniform speed of 50ms.

Find the centripetal acceleration and the corresponding force

Answer 1

• Mass=m=10kg
• Radius=r=2m
• Speed=v=50m/s

Force:-

`\\ \rm\hookrightarrow F_c=(mv^2)/(r)`

`\\ \rm\hookrightarrow F_c=(10(50)^2)/(2)`

`\\ \rm\hookrightarrow F_c=5(2500)`

`\\ \rm\hookrightarrow F_c=12500`

Now using Newton's second law

`\\ \rm\hookrightarrow A_c=(F_c)/(m)=(12500)/(10)=1250m/s^2`