Training & Nutrition - Math question: hill grades

Bikeforums.net is a forum about nothing but bikes. Our community can help you find information about hard-to-find and localized information like bicycle tours, specialties like where in your area to have your recumbent bike serviced, or what are the best bicycle tires and seats for the activities you use your bike for.




View Full Version : Math question: hill grades


lsits
09-02-03, 12:59 PM
I haven't seen this topic in the forums. I hope I'm posting it in the right area.

I want to figure the grade of some of the hills in my area. My guess is that the formula would be:

Height of climb / Horizontal distance x100

I've gotten some elevation info from the US geological survey maps. Sometimes the maps are difficult to understand. Is there a better source?

Should I use the distance as calculated by my cycle computer or use the scale settings on the maps? Does it make more than a minor difference? I would think my computer would be more accurate because of any curves in the road. It might me less accurate because it adds the height of the climb. I took trig in college, but it was many moons ago. Any help would be appreciated.


Patch29
09-02-03, 01:20 PM
I found this link (http://science.howstuffworks.com/question380.htm) and it looks like what you are asking about. It has the calculations and explanation. I wondered how they determined the number myself.

lsits
09-02-03, 02:37 PM
Thanks Patch,

I't all comming back to me now. (Good old Pythagoras)

I guess I'll use my cycle computer for the distance. I don't really need the exact grade, just an approximation. I mean what's the difference between 6.5% and 6.4275%?


lsits
09-02-03, 03:00 PM
I think the guy got sides A 7 C bass ackwards.

lsits
09-02-03, 03:01 PM
Whoops, I forgot to hit the shift key. Should be sides A & C.

Guest
09-02-03, 03:39 PM
If it is the pythagorus theorum, he did get A and C mixed up. A squared + B squared= C squared. C should be the longest side (hypotanuse?), and the side that C is on is not the longest side.

I am math impaired to the nth degree, and I think lsits and I are right...

Koffee

Patch29
09-02-03, 04:38 PM
He did mess that up, easy enough to figure out. I was just going off the simple (rise/run)x100. It is nice to understand what that 7% sign means when you get to it now.

Guest
09-02-03, 05:25 PM
Yeah, it is nice to know. I was just making a general comment about the mathematical formula in general. But still, it's always good to know how to calculate the grade of a hill.

Think I'll shoot an email to the guy so he can make the change. It could be a problem for someone who doesn't know the formula and goes strictly by what's on the page.

Koffee

deliriou5
09-03-03, 06:47 AM
you can check my comments too: ;)

http://www.bikeforums.net/showthread.php?s=&threadid=31619