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Math Help - Angular displacement

  1. #1
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    Angular displacement

    The angular displacement, θ radians, of the spoke of a wheel is given by
    the expression θ = 0.5t4 t3, where t is time in seconds.
    Find:
    (a) The angular velocity after 2 seconds.

    (b) The angular acceleration after 3 seconds.

    (c) The time when the angular acceleration is zero.
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  2. #2
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    Re: Angular displacement

    Is that \displaystyle \begin{align*} \theta = 0.5t^4 - t^3 \end{align*}?
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  3. #3
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    Re: Angular displacement

    Find \frac{d \theta}{dt} and \frac{d^2 \theta}{dt^2} first.
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  4. #4
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    Re: Angular displacement

    yes it is sorry for the bad typing
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  5. #5
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    Re: Angular displacement

    Hint: Velocity is the derivative of displacement, and acceleration is the derivative of velocity (so the second derivative of displacement).
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