Question

The penny-farthing is a bicycle that was popular between 1870 and 1890. You can see a picture of what a penny-farthing looks like at https://en.wikipedia.org/wiki/Penny-farthing. The front tire is significantly larger than the rear wheel. On a Sunday ride in the park, the front wheel (radius = 1.20 m) makes 276 revolutions. How many revolutions does the rear wheel (radius =0.340m) make?

Answer 1

Since at any time distance traveled by both wheels will be same, So

S1 = S2

S = r*

= angular displacement

r = radius of wheel

So,

r1*1 = r2*2

2 = (r1/r2)*1

2 = (1.20/0.340)*276

2 = 974 rev = revolutions made by rear wheel

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