The minimum speed required for the roller coaster to stay on the track at the top of a radius loop is .
) and the normal force from the track. For the "minimum" speed (the point where the car just stays on the track), the normal force is zero. We use: ≈is approximately equal to 2. Set up the equation 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 The minimum speed required for the roller coaster