Utilize our complimentary online tool to compute the safe speed for a horizontal curve. Input the following parameters: Radius, Superelevation.
This calculator establishes the maximum speed at which a vehicle can safely maneuver a horizontal curve. Cornering force, or side force, represents the lateral force exerted by the car during turns. By entering designated speed limits, such as 50 mph, the calculator will furnish you with appropriate safe speed limits for horizontal curves, guaranteeing optimum safety and control.
Safe Speed For Horizontal Curve formula
If the safe speed of a horizontal curve exceeds 50 mph
![\[V > 50mph = \frac{{-0.03 \times r + \sqrt{{0.03 \times r \times 0.03 \times r + 4 \times r \times (15 \times \left(\frac{e}{100}\right) + 3.6)}}}}{2}\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-d08a03664e697194fcf1441510193f5e_l3.png "Rendered by QuickLaTeX.com")
If the safe speed of a horizontal curve is less than 50 mph
![\[{V < 50mph} = \frac{{-0.015 \times \text{r} + \sqrt{{0.015 \times \text{r} \times 0.015 \times \text{r} + 4 \times \text{r} \times (15 \times \left(\frac{\text{e}}{100}\right) + 2.85)}}}}{2}\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-6118adef02ff85c63586f3e2399c73d6_l3.png "Rendered by QuickLaTeX.com")
The variables used in the formula are:
r = Radius of Horizontal Curve(ft)
e = Superelevation
When driving on curved roads, you may notice that the outer side of the curve is slightly raised compared to the inner side. This is done to counteract the vehicle’s tendency to move outward due to the center of gravity. It’s known as superelevation. With the knowledge of the curve’s radius and superelevation, you can determine the safe speed limit using this calculator designed specifically for horizontal curves. It ensures that you can drive within the appropriate speed range for a given curve, promoting safety and stability.
