Both the velocity of the axis and the linear velocity of the outside edge of the wheel are equal to \(v=r \omega\). In other words: The linear velocity of the axis with respect to the ground is equal ...Both the velocity of the axis and the linear velocity of the outside edge of the wheel are equal to \(v=r \omega\). In other words: The linear velocity of the axis with respect to the ground is equal to the linear velocity of the outer edge of the wheel with respect to the axis. From the above discussion, the velocity of the bicycle \(v\) is equal to the linear velocity of the outer edge of the wheels, \(r \omega\).
The resistive force is attached to the axle, and the applied effort force is attached to the larger wheel. Then the distance traveled by the resistive force is \(2 \pi r_{a}\), where \(r_{a}\) is the ...The resistive force is attached to the axle, and the applied effort force is attached to the larger wheel. Then the distance traveled by the resistive force is \(2 \pi r_{a}\), where \(r_{a}\) is the axle radius. The distance through which the effort force is applied is \(2 \pi r_{w}\), where \(r_{w}\) is the wheel radius. (Figure \(\PageIndex{1}\).) Figure \(\PageIndex{1}\): (a) The wheel and axle. (b) The windlass, another type of wheel and axle.
