A-roller-coaster-has-a-vertical-loop-with-radius-of-15m May 2026

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

To find the minimum speed required for a roller coaster to successfully complete a vertical loop with a radius of

The minimum speed required for the roller coaster to stay on the track at the top of a radius loop is .

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