In a revolution type ride with R = 20 meters, how fast would you have to go at t

Question

In a revolution type ride with R = 20 meters, how fast would you have to go at the top in order to not fall off? How fast would you have to go at the top in order to feel your regular weight? Three times your weight? In a colossus type ride with R = 20 meters, what is the maximum you should go at the top? How fast should you go to feel half your weight? For either ride, how fast should you go to feel half your weight at the bottom? Three times your weight? (For all of these parts, derive the equations then plug in the numbers!!!!)

Explanation / Answer

a) You should be so fast that the centrifugal force = force due to gravity. (v^2/r = g) v= 14m/s b) (v^2/r = g/2) c) Half the weight at bottom, never possible. Three times - (mv^2/r + mg = 3mg)

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