A bicycle has two sets of gears, one at the pedals and two at the rear wheel. a typical 10-speed bicycle has two gears on the chain wheel and five gears on the rear wheel. the speed at which a bicycle travels depends on three independent factors :
- The first is the speed at which the cyclist pedals to furn the front gear (rotations per minute)
- the second is the gear ration fron the front gear to the rear wheel ( ratio between number of teeth on the front gear compared to the number of teeth on the rear gear.)
- the third is the size of the rear wheel (measured as the diameter)
a) develope a formula that predicts the velocity in km/h for a bicyclist.
b) how fast will a cyclist travel (km/h) who is pedalling at 50 rpm with a 42-toothed gear on the front and a 14 toothed gear on the back, and a tire with a diameter of 26 inches.
I can't say I even have an idea where to start here, My text doesnt really explain how to solve this type of question so even if i can get a general idea of what steps I should follow. Thank you
Then we convert it to meters:
Note how I cancelled the inches, leaving only the unit of meters. Also note that I've included more decimal points than I should. If I assume 26 inches is an exact number, I used 3 significant digits (the 0.0254) in my conversion, so I'd call it 2.07 meters.