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Math Help - angular velocity problem

  1. #1
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    angular velocity problem

    Hi everyone
    New here so hope this is in correct place.
    The question i have is as follows.

    A train of mass 5 tonnes is trvelling with a velocity of 80 km h-1. If it needs to stop within a distance of 0.5 km using a constant braking force calculate:
    A) deceleration of the train
    b)the braking force required
    c)the time taken to come to rest
    d)The initial angular velocity of the wheels
    e)the angular deceleration of the wheels
    The wheels are 1.5m in diameter

    I have done parts a b & c hopefully correct but am having trouble with parts d & e.
    Any pointers in the right direction would be much appreciated
    Thanks.
    Nic
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  2. #2
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    Quote Originally Posted by ethascar View Post
    Hi everyone
    New here so hope this is in correct place.
    The question i have is as follows.

    A train of mass 5 tonnes is trvelling with a velocity of 80 km h-1. If it needs to stop within a distance of 0.5 km using a constant braking force calculate:
    A) deceleration of the train
    b)the braking force required
    c)the time taken to come to rest
    d)The initial angular velocity of the wheels
    e)the angular deceleration of the wheels
    The wheels are 1.5m in diameter

    I have done parts a b & c hopefully correct but am having trouble with parts d & e.
    Any pointers in the right direction would be much appreciated
    Thanks.
    Nic
    assuming no slippage of the wheels ...

    \omega = \frac{v}{r}

    \alpha = \frac{a}{r}
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  3. #3
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    Aug 2009
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    Thanks skeeter for your quick reply.
    I have looked into this and did come up with the 1st formula that you have said to get the initial angular velocity but it just seemed to easy and obvious to be that, maybe i should stop trying over complicate things and talking myself out of solutions that i am getting to do this.
    Once again thank you
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