5. 1 Kinematics of Uniform Circular Motion



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5. (II) Suppose the space shuttle is in orbit 400 km from the Earth’s surface, and circles the Earth about once every 90 minutes. Find the centripetal acceleration of the space shuttle in its orbit. Express your answer in terms of g, the gravitational acceleration at the Earth’s surface.

The orbit radius will be the sum of the Earth’s radius plus the 400 km orbit height. The orbital period is about 90 minutes. Find the centripetal acceleration from these data.



Notice how close this is to g, because the shuttle is not very far above the surface of the Earth, relative to the radius of the Earth.

6. (II) What is the magnitude of the acceleration of a speck of clay on the edge of a potter’s wheel turning at 45 rpm (revolutions per minute) if the wheel’s diameter is 32 cm?

To find the period, the rotational speed (in rev/min) is reciprocated to have min/rev, and then converted to sec/rev. Use the period to find the speed, and then the centripetal acceleration.



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