Trig

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This problem is stumping me, can anyone help me?
The Earth rotates every 24 hours (actually 23 hours, 56 minutes and 4 seconds) and has a diameter of 7926 miles. If you're standing on the equator, how fast are you traveling (how fast is the Earth spinning)? Compute this (a) using 24 hours and (b) then with 23 hours, 56 minutes, 4 seconds.

  • Trig -

    Circumf. = 7926pi miles

    a) if time = 24hrs
    rate = 7926pi/24 mph
    = appr. 1037.5 mph

    b) 23:56:04 = 23.9333444 hrs.
    (23 + 56/60 + 4/3600)
    rate = 7926pi/23.9333444 = 1040.4 mph

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