Banked Curve Speed
v = sqrt(r·g·tan(θ))
What it says
The speed at which a banked turn needs no friction to hold a vehicle in its lane.
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
v | Design speed (m/s) | L T^-1 |
r | Turn radius (m) | L |
g | Gravitational acceleration (m/s^2) | L T^-2 |
θ | Bank angle (rad) | 1 |
Work it out
Enter what you know. No account needed.
Fill in all but one: r, g, θ, v are all empty.
Filed under Mechanics · derive through it in the explorer