Question

a body of mass 4 kg moves around a circle of radius 6 m with a constant speed of 12m/sec². calculate tw angular velocity and the force towards the centre​

Answer 1

• Angular velocity is 2 m/s

• Centripetal force is 96 N

Step-by-step explanation:

For angular velocity:

`{ \rm{v = \omega r}}`

• v is velocity
• w is angular velocity
• r is radius

`{ \rm{ \omega = (v)/(r) }} \\ \\ { \rm{ \omega = (12)/(6) }} \\ \\ { \boxed{ \rm{ \omega = 2 \: {ms}^( - 1) }}}`

For the centripetal force:

`{ \rm{force = m { \omega}^(2)r }} \\ \\ { \rm{force = (4 * {2}^(2) * 6)}} \\ \\ { \rm{force = 96 \: newtons}}`