Difference between revisions of "Counter steering"

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===Gyroscopic effects===
===Gyroscopic effects===
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"/>
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 cosine of the angle between the steering axis and the vertical.<ref name="Cossalter"/>


For a sample motorcycle moving at 22&nbsp;m/s (50&nbsp;mph) that has a front wheel with a moment of inertia of 0.6&nbsp;kgm<sup>2</sup>, turning the front wheel one degree in half a second generates a roll moment of 3.5&nbsp;Nm. In comparison, the lateral force on the front tire as it tracks out from under the motorcycle reaches a maximum of 50&nbsp;N. This, acting on the 0.6&nbsp;m (2&nbsp;ft) height of the center of mass, generates a roll moment of 30&nbsp;Nm.<ref name="Cossalter"/>
For a sample motorcycle moving at 22&nbsp;m/s (50&nbsp;mph) that has a front wheel with a moment of inertia of 0.6&nbsp;kgm<sup>2</sup>, turning the front wheel one degree in half a second generates a roll moment of 3.5&nbsp;Nm. In comparison, the lateral force on the front tire as it tracks out from under the motorcycle reaches a maximum of 50&nbsp;N. This, acting on the 0.6&nbsp;m (2&nbsp;ft) height of the center of mass, generates a roll moment of 30&nbsp;Nm.<ref name="Cossalter"/>

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