Enter the speed and central angle into the calculator to determine the radius of the ramp. This calculator helps in designing ramps for vehicles by calculating the minimum radius required for a vehicle to navigate the ramp at a given speed and angle.
Ramp Radius Formula
The following formula is used to calculate the radius of a ramp.
R = V^2 / (g * tan(θ))
Variables:
- R is the radius of the ramp (feet)
- V is the speed of the vehicle (feet per second)
- g is the acceleration due to gravity (32.2 feet per second squared)
- θ is the central angle of the ramp curve (radians)
To calculate the radius of a ramp, square the speed of the vehicle, divide by the product of the acceleration due to gravity and the tangent of the central angle of the ramp curve.
What is Ramp Radius?
Ramp radius is the minimum curve radius required for a vehicle to safely navigate a ramp at a certain speed without skidding or overturning. It is a critical parameter in the design of roads, especially for ramps and curved sections, to ensure the safety and comfort of the drivers. The radius depends on the speed of the vehicle, the slope of the ramp, and the friction between the tires and the road surface.
How to Calculate Ramp Radius?
The following steps outline how to calculate the Ramp Radius.
- First, determine the speed of the vehicle (V) in miles per hour and convert it to feet per second.
- Next, determine the central angle of the ramp curve (θ) in degrees and convert it to radians.
- Next, gather the formula from above = R = V^2 / (g * tan(θ)).
- Finally, calculate the Ramp Radius (R) in feet.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Speed of the vehicle (V) = 30 miles per hour
Central angle of the ramp curve (θ) = 15 degrees
