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#1




percent grade to angle degree
How do you convert a % grade to the angle of degree. If you have a 14% grade, how do you find the degree?

#2




Re: percent grade to angle degree
Quote:
In this case, express as the percent as a decimal and plug in angle = arctan(0.14) = 7.97° (If it is rise/slant_length, use the arcsin function) 
#3




Re: percent grade to angle degree
thanks, you just helped me with my performance assesment for my physics class.

#4




Re: percent grade to angle degree
Thanks JohnS, your simple explanation is exactly what I needed for my surveying homework.

#5




Re: percent grade to angle degree
So a 100% grade is a 45 degree climb. As the grade goes from zero to 100, the angle goes from zero to 45 degrees. Is that relationship linear? If it was, then 1 degree would be 1/45 of 100, or 2.222%.
Or did I miss something? Also, what's a 50 degree grade (assuming we might find it in, say, San Francisco? 
#6




Re: percent grade to angle degree
Quote:
or rise/run = tan(angle) tan(1°) = 0.01746 = 1.746% It is pretty linear for small angles (under 6°) but gets quite non linear for larger angles. tan(50°) = 1.19175, the rise is larger than the run. You might find it on a roof, probably not on a road. 
#7




Re: percent grade to angle degree
Yes. It's clear if you look at the tangent graph. Leaving zero it moves in a direction up and to the right. But it's rate of climb increases as it goes, passing 1 at 45 degrees, and heading for straight up and infinity at 90 degrees.
Thanks for the comeback, Larry 
#8




Re: percent grade to angle degree
Thanks for the conversion formula. I ride a road bike and have wondered when fellow road bikers tell their stories of how hard the hill they just rode was and it was a (XX) % grade just what angle of rise it was, thanks.
Bob 
#9




Re: percent grade to angle degree
Quote:
Cos = (√ 100 SQ  14 SQ ) / 100 Degree = Cos 
#10




Re: percent grade to angle degree
18 degree grade what is the angle of degree

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