Why I don't trust mechanical speedometers.
OK, I am basing this solely on the cheap Taiwanese speedometer that I got from Spooky Tooth. If you check the picture below you will see that 200 rpm equals 21 mph so I'll start from there:
200 rev/min = (21 mi/hr) / (60 min/hr)
converting hours to minutes gives:
200 rev/min = 0.35 mi/min
200 rev = 0.35 mi
Doing some unit conversions:
200 rev = (0.35 mi) * (5280 ft/mi)
= (1848 ft) * (12 in/ft)
= 22,176 in
Now divide both sides by 200 :
1 rev = 110.88 in
One revolution is equal to the circumference of the wheel and the circumference of a circle is equal to pi times the diameter so the diameter is equal to the circumference divided by pi:
diameter = (110.88 in) / (3.14159)
= 35.29 inches
So unless you have a mighty large front wheel these speedometers are useless! Likely they are a kids toy designed to make them think they are going a lot faster than they actually are.
If it can't be broken I'll find a way!
I'm not lost, I'm exploring!
Last edited by Finfan; 07-16-2009 at 05:19 PM.
Reason: Correcting an equation