To find the minimum speed required for a roller coaster to successfully complete a vertical loop with a radius of
, the car must maintain a speed where the centripetal force at the top of the loop is at least equal to the force of gravity. The minimum speed is approximately (or about 1. Identify physical constants a-roller-coaster-has-a-vertical-loop-with-radius-of-15m
v2r=gthe fraction with numerator v squared and denominator r end-fraction equals g 3. Solve for velocity Rearrange the formula to solve for v=g⋅rv equals the square root of g center dot r end-root To find the minimum speed required for a