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In th egiven figure,a = 15 m//s^(2) repr...

In th egiven figure,`a = 15 m//s^(2)` represents the total acceleration of particle moving in the clockwise direction in a circle of radius `R = 2.5 m` at a given instant of time. If square of speed of the particle is `(75 sqrt3)/(n) m^(2)//s^(2)`. Then write the value of n.

Text Solution

Verified by Experts

The correct Answer is:
4
`15 cos 30^(@) = a_(c ) = (v^(2))/(R )`
`v^(2) = (75 sqrt3)/(4)`
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Knowledge Check

  • In the given figure, a=15m//s^(2) represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R=2.5m at a given instant of time. The speed of the particle is.

    A
    `5.7m//s`
    B
    `6.2m//s`
    C
    `4.5m//s`
    D
    `5.0m//s`

  • In the given figure, a=15m//s^(2) represents the total acceleration of a particle moving in the clockwise dirction in a circle of radius R=2.5 m at a given instant of time. The speed of the particle is

    A
    `4.5`m/w
    B
    `5.0` m/s
    C
    `5.7` m/s
    D
    `6.2`m/s

  • The figure shows the total acceleration a = 32 m s^(-2) of a moving particle moving clockwise in a circle of radius R = 1 m . What are the centripetal acceleration a and speed of the particle at the given instant ?

    A
    `16sqrt3ms^(-2),4sqrt3ms^(-1)`
    B
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    C
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    D
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