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Math Help - Finding centripital accelleration

  1. #1
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    Finding centripital accelleration

    An object is accelerating along a circular groove of radius R=200 mm. Its motion is given as
    theta = 5 t^3

    where t is in seconds and theta is in radians.

    What is its centripetal acceleration (in m/s^2) at t = T?

    T[s] = 0.28;

    Someone help me please?
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  2. #2
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    Quote Originally Posted by m_i_k_o View Post
    An object is accelerating along a circular groove of radius R=200 mm. Its motion is given as
    theta = 5 t^3

    where t is in seconds and theta is in radians.

    What is its centripetal acceleration (in m/s^2) at t = T?

    T[s] = 0.28;

    Someone help me please?
    HI
    What is the mass of the object ??

    \omega=\frac{d\theta}{dt}

     <br />
=15t^2<br />

    So now when t is 0.28 , \omega=1.176 rads^{-1}

    Then use the formula , F = mrw^2 .. you need to know the value of m
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  3. #3
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    Missing values

    We weren't given any mass value. Is there any other way to do this?
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  4. #4
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    Quote Originally Posted by m_i_k_o View Post
    An object is accelerating along a circular groove of radius R=200 mm. Its motion is given as
    theta = 5 t^3

    where t is in seconds and theta is in radians.

    What is its centripetal acceleration (in m/s^2) at t = T?

    T[s] = 0.28;

    Someone help me please?
    note that \omega = \frac{d\theta}{dt}

    a_c = r\omega^2
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