Question

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?

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