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===Gyroscopic effects=== | ===Gyroscopic effects=== | ||
One effect of turning the front wheel is a roll | One effect of turning the front wheel is a roll moment caused by gyroscopic precession. The magnitude of this moment is proportional to the [[moment of inertia]] of the front wheel, its spin rate (forward motion), the rate that the rider turns the front wheel by applying a torque to the handlebars, and the [[Trigonometric_function#Cosine|cosine]] of the angle between the steering axis and the vertical.<ref name="Cossalter"/> | ||
For a sample motorcycle moving at 22 m/s (50 mph) that has a front wheel with a moment of inertia of 0.6 kgm<sup>2</sup>, turning the front wheel one degree in half a second generates a roll moment of 3.5 Nm. In comparison, the lateral force on the front tire as it tracks out from under the motorcycle reaches a maximum of 50 N. This, acting on the 0.6 m (2 ft) height of the center of mass, generates a roll moment of 30 Nm.<ref name="Cossalter"/> | For a sample motorcycle moving at 22 m/s (50 mph) that has a front wheel with a moment of inertia of 0.6 kgm<sup>2</sup>, turning the front wheel one degree in half a second generates a roll moment of 3.5 Nm. In comparison, the lateral force on the front tire as it tracks out from under the motorcycle reaches a maximum of 50 N. This, acting on the 0.6 m (2 ft) height of the center of mass, generates a roll moment of 30 Nm.<ref name="Cossalter"/> |