Answered

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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​

Sagot :

Answer:

• Angular velocity is 2 m/s

• Centripetal force is 96 N

Explanation:

For angular velocity:

[tex] { \rm{v = \omega r}}[/tex]

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

[tex]{ \rm{ \omega = \frac{v}{r} }} \\ \\ { \rm{ \omega = \frac{12}{6} }} \\ \\ { \boxed{ \rm{ \omega = 2 \: {ms}^{ - 1} }}}[/tex]

For the centripetal force:

[tex]{ \rm{force = m { \omega}^{2}r }} \\ \\ { \rm{force = (4 \times {2}^{2} \times 6)}} \\ \\ { \rm{force = 96 \: newtons}}[/tex]

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