Mr. Payne (80 kg) rides a motorcycle around a vertical loop 32 meters in diameter. At the top, his tires just touch the track. What velocity does he have to ride maintain minimal contact with the loop?

Question

Finley Mullen

Physics

22 July, 17:45

Mr. Payne (80 kg) rides a motorcycle around a vertical loop 32 meters in diameter. At the top, his tires just touch the track. What velocity does he have to ride maintain minimal contact with the loop?

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Answers (1)

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Armani · Answer 1

We are given

m = 80 kg

d = 32 m

We are asked for the velocity to keep the man from falling when he is at the top

The formula to use is

mg = mv²/r

g = v²/r

v = √rg

v = √ (32/2) (9.81)

v = 156.96 m/s