How to use the roller coaster speed calculator
Find the speed at a lower point of a frictionless track from the drop height. Enter starting height, lower point height in the fields above; the speed at lower point (no friction), speed in km/h are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “coaster speed at bottom”, “speed after a drop”, “energy conservation ride”, “calculate roller coaster speed”, “find speed at lower point”.
Formula
Variables
- h1 — Starting height (m)
- h2 — Lower point height (m)
Worked example
With starting height = 30 m, lower point height = 5 m, the calculator gives speed at lower point (no friction) ≈ 22.14345 m/s; speed in km/h ≈ 79.71643 km/h.
Frequently asked questions
What is the roller coaster speed calculator used for?
Find the speed at a lower point of a frictionless track from the drop height. It helps with questions such as “coaster speed at bottom”, “speed after a drop”, “energy conservation ride”.
What is the formula for the roller coaster speed calculation?
Speed at lower point (no friction) (m/s) = √(2 × GRAV × (h1-h2)). Speed in km/h (km/h) = [Speed at lower point (no friction)] × 3.6. Here h1 is starting height (m), h2 is lower point height (m).
What inputs do I need for the roller coaster speed calculator?
You need starting height in m, lower point height in m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the roller coaster speed calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the roller coaster speed result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.