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Math Help - centripetal acceleration of car

  1. #1
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    centripetal acceleration of car

    A car travels at a constant speed around a circular track whose radius is 2.6 km. The car goes once around the track in 330 s. What is the magnitude of the centripetal acceleration of the car?
    and i get 9.4E-4 m/s^2

    and that seems to be the wrong answer.

    first i used: (2 * pi * r) / T

    and then
    i used: a = v^2 / 2 for centripetal acceleration

    please help me with this one.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by rcmango View Post
    A car travels at a constant speed around a circular track whose radius is 2.6 km. The car goes once around the track in 330 s. What is the magnitude of the centripetal acceleration of the car?
    and i get 9.4E-4 m/s^2

    and that seems to be the wrong answer.

    first i used: (2 * pi * r) / T

    and then
    i used: a = v^2 / 2 for centripetal acceleration

    please help me with this one.
    a=v \dot\theta=\frac{2\pi~r}{t}~\frac{2\pi}{t}=\frac{4  \pi^2~r}{t^2}=\frac{4\pi^2~2600}{330^2}\approx 0.94 ~\rm{ m/s^2}

    where
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