A-roller-coaster-has-a-vertical-loop-with-radius-of-15m
At the top of the loop, two main forces are at play: gravity (
, 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
) 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 At the top of the loop, two main
v=9.8⋅15v equals the square root of 9.8 center dot 15 end-root v=147v equals the square root of 147 end-root v≈12.12 m/sv is approximately equal to 12.12 m/s ✅ Final Result For the "minimum" speed (the point where the
To find the minimum speed required for a roller coaster to successfully complete a vertical loop with a radius of