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27 November, 16:07

You pull your car into your driveway and stop. The drive shaft of your car engine, initially rotating at 2400rpm, slows with a constant rotational acceleration of magnitude 30rad/s2. How long does it take for the drive shaft to stop turning?

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  1. 27 November, 16:18
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    Time taken = 8.377 seconds

    Explanation:

    Let's first calculate what 2400 rpm is in radians per second.

    2400 rpm = 2 * pi * 2400 rad/min = 15079.64 rad/min

    Converting this into radians/second we get:

    15079.64 / 60 = 251.32

    We can now find out how long it takes for the drive shaft to stop turning:

    Velocity = Acceleration * Time

    Since velocity and acceleration are given, we can find time:

    Time = Velocity / Acceleration

    Time = 251.32 / 30

    Time = 8.377 seconds
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