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A point on the rim of a wheel 3 m in dia...

A point on the rim of a wheel 3 m in diameter has linear velocity of `18 ms^(-1)`. The angular velocity of the wheel is

A

`4 rad s^(-1)`

B

`12rad s^(-1)`

C

`6rad s^(-1)`

D

`18rad s^(-1)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A point on the rim of a whell 3 m in diameter has linear velocity of 18 ms^(-1) . The angular velocity of the wheel is

    A
    `4 "rad s"^(-1)`
    B
    `12 "rad s"^(-1)`
    C
    `6 "rad s"^(-1)`
    D
    `18 "rad s"^(-1)`
  • A point on the rim of a rim of a wheel 3 m in diameter has linear velocity of 18 ms^(-1) . The angular velocity of the wheel is

    A
    `4 rads^(-1)`
    B
    `12 rads^(-1)`
    C
    `6 rads^(-1)`
    D
    `18 rads^(-1)`
  • A string is wrapped around a wheel of radius .r.. The axis of the wheel is horizontal and its M.I. about the axis is I. Weight .mg. is tied to free end of the string which is released to fall down from rest position. The angular velocity of the wheel after it has fallen through distance .h. will be

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    `((2gh)/(1+mr^(2)))^(1//2)`
    B
    `((2mgh)/(1+mr^(2)))^(1//2)`
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    D
    `sqrt(2gh)`
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