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A truck with 36-in.-diameter wheels is traveling at 55 mi/h.

Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes

How many revolutions per minute do the wheels make?

• This question is 2 parts. I can't remember the formula for linear and angular velocity. I've always been a bit confided with problems like this. Could someone please explain to me how to solve this? Thank you!!!

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Jen

  1. circumference of tire = pi D = 36 pi =113 inches/revolution

    55 mi/h (1 h/60min)(5280ft/mi)(12 in/ft)
    = 58,080 inches/min

    58080 inches/min (1 rev/113 in) = 514 rev/min

    514 rev/min ( 2 pi radians/rev) = 3229 radians/min

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    Damon

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