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A particle moving in uniform circle make...

A particle moving in uniform circle makes 18 revolutions in 1 minutes. If the radius of the circle is 10 cm, the speed of the particle is

A

`3pixx10^(-2)ms^(-1)`

B

`4pixx10^(-2)ms^(-1)`

C

`5pixx10^(-2)ms^(-1)`

D

`6pixx10^(-2)ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D

Given, n = 18 per minute `=(18xx2pi)/(60)` and r = 10 cm
We know that `v=r omega`
Here, `v=0.1xx(18xx2pi)/(60)`
`v=3xx2pixx10^(-2)rArrv=6pixx10^(-2)ms^(-1)`
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Knowledge Check

  • A particle moving with uniform speed

    A
    must have uniform velocity
    B
    cannot have uniform velocity
    C
    may have uniform velocity
    D
    will have no velocity
  • A particle is moving in a circle:

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    the resultant force on the particle must be towards the centre
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    the cross product of the tangential acceleration and the angular velocity will be zero
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    the direction of the angular acceleration and the angular velocity must be the same
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    the resultant force may be towards the centre
  • A particle does uniform circular motion in a horizontal plane. The radius of the circle is 20 cm . The centripetal force acting on the particle is 10 N . It's kinetic energy is

    A
    `0.1J`
    B
    `0.2 J`
    C
    `2.0 J`
    D
    `1.0 J`
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