Degrees to Percent Grade

The  Degree to Percent Grade calculator converts an angle in degrees to a percent grade.

INSTRUCTIONS: Enter the following:

• (θ) Degrees (angle) Inclined 

Percent Grade (r):  The calculator returns the grade in percentage.

The Math

Percent grade is the slope of an incline, often referred to as rise over run where the run is 100 units (e.g., feet, meters, inches).  In short, it a ratio. To get the percent grade you take the tangent of the angle. This will return the percent grade of the incline. We then multiply it by 100 to put it in the format we are use to seeing for percents.

The formula for percent grade is:

     `r = 100*tan(theta)`

where:

• r = grade as a percent
• `theta` = angle of grade

Vehicle Calculators

• Approach (Departure) Angle: Computes the maximum angle of a ramp onto which a vehicle can climb without scraping.
• Degree to Percent Grade: Converts a grade to a degree angle.
• Camber angle - Wheel camber (tilt) calculation of angle
• Camber offset - Wheel camber (tilt) calculation of offset
• Breakover Angle: Compute maximum angle that a vehicle can drive over without the ground touching the vehicle's undercarriage.  
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• Distance to Overtake: Computes distance traveled to overtake another.
• Speed to Overtake: Computes the average velocity to overtake another.
• Distance Traveled: Computes the distance traveled over a period of time.
• Speed from Skid Marks: Estimates the speed of a vehicle based on length of skid marks.
• Braking Distance: Estimates distance to stop a vehicle based on initial velocity and braking coefficient.
• Total Stopping Distance: Computes the distance to stop a vehicle based on the initial velocity, reaction time and a braking coefficient.
• Speed from the Braking Distance: Estimates the initial speed based on the distance to stop a vehicle and the a braking coefficient.
• Used Car Price Comparison: Estimates the better value between two vehicles based on their mileage, cost and expected lifespan (miles).
• Belt Length: Computes the length of a belt that goes around two pulleys based on the pulley diameters and the distance between the axles.
• Belt Speed: Computes the speed at which a linear length of belt travels around a pulley  based on the diameter of the pulley and the rotation rate.
• Pulley RPMs: Computes the RPMs of a pulley based on the belt speed and diameter of the pulley.
• 2nd Pulley RPMs: Computes the RPMs of a second pulley based on the the RPMs and Diameter of the first pulley and the diameter of the second pulley.
• 2nd Pulley Diameter: Computes the diameter of a second pulley based on the RPMs and diameter of the first pulley and the RPMs of the second pulley.
• RPM of 4th pulley on three shafts: Computes the RPMs (rotation rate) of a pulley when the RPM and Diameters are known for a series of pulleys on three axles.
• 2nd Gear RPM: Calculates the RPMs of a second gear when the RPMs and number of teeth are known for the first gear and the number of teeth of the second gear is known,
• 2nd Gear Torque: Calculates the torque of a second gear when the torque and number of teeth are known for the first gear and the number of teeth of the second gear is known,