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The angular displacement theta radians o...

The angular displacement `theta` radians of a fly wheel varies with time t seconds and follow the equation `theta = 9t^(2) - 2t^(3)`. Determine the angular velocity and acceleration of the fly wheel when time t =1 seconds and (ii) The time when the angular acceleration is zero.

Text Solution

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The correct Answer is:
12 rad/sec, `6 rad//s^(2)`, t = 1.5s
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Knowledge Check

  • If s = t^(3) - 4t^(2) + 7 the velocity when the acceleration is zero is

    A
    `(32)/(3)` m/sec
    B
    `(-16)/(3)` m/sec
    C
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    D
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  • If x = a cos t is the displacement in time t then, acceleration is :

    A
    a cos t
    B
    ` - a cos t`
    C
    a sin t
    D
    `- a sin t `

  • If x = a cos t is the displacement in time t then, acceleration is :

    A
    a cos t
    B
    ` - a cos t`
    C
    a sin t
    D
    `- a sin t `

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