Physics, asked by azhar5649, 1 month ago

A particle is moving along a circle of radius 10 m at a constant speed of 5 m/s.Find (I) centripetal acceleration and (II) angular speed of the particle.

Answers

Answered by Anonymous
1

Given that:

  • Radius = 10m
  • Speed = 5 m/s

Need to find:

  • (I) Centripetal acceleration
  • (II) Angular speed of the particle

Solution:

Given,

  • v = 5 m/s
  • r = 10 m

Formula to find the centripetal acceleration —

{\qquad}{\bigstar{\boxed{\bold{{a}_{r} =  \frac{ {v}^{2} }{r}}}}}

According to the question—

 \sf \implies \: {a}_{r} =  \frac{ {(5 \frac{m}{s} )}^{2} }{10m}  \\  \\  \sf \implies \: {a}_{r} =  \frac{25}{10}  \frac{m}{ {s}^{2} }  \\  \\  \sf \implies \: {a}_{r} = 2.5 \frac{m}{ {s}^{2} }

Hence,centripetal acceleration is 2.5 m/s^2.

Formula to find the angular velocity —

 {\qquad}{\bigstar{\boxed{\bold{\sf{\omega =  \frac{v}{r}}}}}}

According to the question —

 \sf \implies \omega \:  =  \frac{5}{10}  \\  \\  \sf \implies \omega = 0.5 \frac{radian}{s}

Hence,the angular speed of the particle is 0.5 radian/s.

Similar questions