In order to simulate weightlessness for astronauts in training, they are flown in a vertical circle. if the passengers are to experience weightlessness, how fast should an airplane be moving at the top of a vertical circle with a radius of 2.50 km

Question

Physics

Carl Sanford

5 September, 00:25

In order to simulate weightlessness for astronauts in training, they are flown in a vertical circle. if the passengers are to experience weightlessness, how fast should an airplane be moving at the top of a vertical circle with a radius of 2.50 km

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Answers (1)

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Aleena Day · Answer 1

The answer is "156.6 m/s".

This is how we calculate this;

-N + mg = ma = mv²/r

For "weightlessness" N = 0, so

0 = mg - mv²/r

g - v²/r = 0

v = √ (gr)

g = 9.8 and r = 2.5km = 2500 m

v = √ (9.8 x 2500)

= 156.6 m/s