Why modern motorcycles have the front wheel taller than the rear one?

Question:

Answers:

Generally you would see a lot of off road and dual purpose bikes have a larger front tire than the rear, this increases stability and steering, and the smaller tire in the rear increases torque,
Some of the larger Cruiser/Custom style street bikes are the same way, but a lot of it is for looks. A taller, but narrower front tire, with a smaller but much wider rear tire.
A lot of your High performance motorcycles will have both tires the same size, this increases stability and tracking at high speeds, most notably while cornering.

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Smaller wheels get better gas mileage, not to mention that some people really like that look.

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Increases stability and improves handling because of "gyroscopic precession". What that means to us is, "the rear wheel follows the front".

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have a look at the specs of some new bikes...
Front Tyre
120/70 R17
Rear Tyre
180/55 R17

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http://www.motorcyclespecs.co.za/...

How fast have "you" gone on a motorcycle?

I think you are a little confused, front wheels are smaller !