trigonometry

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assuming that Earth's radius is 6400 km, find the linear velocity of Quito, Equador, a city on the equator. (Use pi=3.1416 and 1.6 km=1 mile).

  • trigonometry -

    I guess we are to do miles per hour ?

    v = omega * r
    omega = 2 pi /24 hr
    r = 6.4*10^3 km (1 mile/1.6 km) = 4,000 miles
    so
    v = 4000 miles (2 pi/ 24 hr)
    =3333 miles/ hour

  • trigonometry -

    (2 pi * 6400 km)/(24 hours)

    That will give you the answer in km/h. Divide by 1.6 for miles per hour.

    Actually, a better conversion factor with five significant figures is 1.6093 km/mile

    It makes no sense to have five significant figures for pi and only two for the km-to-miles factor

  • trigonometry -

    my choices are
    2094.4 mph
    209.4 mph
    1047.2 mph
    104.7 mph

  • trigonometry -

    LOL - the textbook writer is using a calculator with pi on it but not the unit conversions :)

  • correction -

    v = 4000 miles (2 pi/ 24 hr)
    =1047.2 miles/ hour

  • trigonometry -

    thnks

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