Physics??

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A car is traveling at a speed of 62 on a freeway.
If its tires have diameter 24.0 and are rolling without sliding or slipping, what is their angular velocity?

  • Physics?? -

    You must provide dimensions along with your numbers. 62 what? mph? 24.0 what? inches?

    A nonslipping tire's speed (and that of the car) is
    V = R*w
    where w is the angular velocity in radians per second.

    You do the numbers.

    The length and speed dimensions must be consistent. (feet and feet/s or meters and meters/s)

  • Physics?? -

    its 62 mi/h and 24.0in

  • Physics?? -

    do i do 2pi/ 62 first?

  • Physics?? -

    w = V/R

    V = 62 mi/h = 90.93 ft/s
    R = 24 in = 0.6667 ft

    Now that you have consistent dimensions for V and R,

    w = 90.93/0.6667 = 136.4 rad/s

  • Physics?? -

    i got the anwser wrong

  • Physics?? -

    It looks right to me. Sometimes the online problem writers get it wrong, and sometimes it's me. The equation is correct.

  • Physics?? -

    But cant u jus convert the diameter to meter nd d v to m/s. Besides that 24inc was the diameter which should hav been divided by two to get the radius

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