The distance of the Kilimanjaro summit from the axis of the Earth is
R = 6378 + 5.9 = ___ km
Multiply that by the angular rotation velocity of the Earth in radians/sec and you will have the tangential velocity.
Actually, the earth rotates 360 degrees (2 pi radians) in 23.93 hr = 86,148 s, not 24.0 hr. Your teacher may not realize this.
The Earth rotates on its own axis once per day (24.0h). What is the tangential speed of the summit of Mt. Kilimanjaro (elevation 5895 m above sea level), which is located approximately on the equator, due to rotation of the Earth? The equatorial radius of Earth is 6378 km.
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