phy 231

It takes 23 hours 56 minutes and 4 seconds for the earth to make one revolution (mean sidereal day). a.What is the angular speed of the earth?
I got 7.292x10^-5 rad/s
b.Assume the earth is spherical. Relative to someone on the rotation axis, what is the linear speed of an object on the surface if the radius vector from the center of the earth to the object makes an angle of 49.0° with the axis of rotation. The radius of the earth is 6.37×103 km.
I got .3506 km/s
c.What is the acceleration of the object on the surface of the earth in the previous problem?
I don't know where to start for part c

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  1. centripetal acceleration
    Ac = v^2/r = r omega^2
    omega is part a

    r = radius there = Re sin 49

    [ note - usually we use latitude which is angle North of the equator in this case cos(90-49)]

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