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

Answer:

• Angular velocity is 2 m/s

• Centripetal force is 96 N

Explanation:

For angular velocity:

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

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

${ \rm{ \omega = \frac{v}{r} }} \\ \\ { \rm{ \omega = \frac{12}{6} }} \\ \\ { \boxed{ \rm{ \omega = 2 \: {ms}^{ - 1} }}}$

For the centripetal force:

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