Calculating velocity

Physics
Tutor: None Selected Time limit: 1 Day

Engineers are trying to create artificial "gravity" in a ringshaped space station by spinning it like a centrifuge. The ring is 150 m in radius. How quickly must the space station turn in order to give the astronauts inside it apparent weights equal to their real weights at the earth’s surface?

Apr 29th, 2015

Earth pulls on us at a rate of 9.8m/s. The question becomes how quickly would the centrifuge have to rotate in order to reach a speed of 9.8m/s.

The circumference of the space station is equal to pi times the diameter = pi(300m) = 942.48m

This is the distance traveled by the space station in one revolution.

By traveling 9.8m/s to simulate gravity means that after one second the space ship has traveled 9.8m/942.48m = 1.04% of the circle

X 60 = 62.40% of the circle after a minute.

Thus if the space ship were to travel .624rpm you would have reached speeds of 9.8m/s and simulated gravity.

Apr 29th, 2015

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Apr 29th, 2015
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Apr 29th, 2015
Dec 7th, 2016
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