art of riding a bicycle involves leaning at the correct angle when making a turn; the first figure in the image carousel shows a rider leaning the bicycle at an angle θ from the vertical. To be stable, the net force exerted by the ground where it contacts the tire must be on a line passing through the center of gravity. The forces have been summarized with a free-body diagram, as seen in the second figure in the image carousel. The ground exerts a normal force which is equal in magnitude to the combined weight of the bicycle and the rider. The ground additionally exerts a force due to static friction which is parallel to the ground, causing the bicycle to move in a circle. a. Enter an equation for the tangent of an angle between the bicycle and the vertical terms of the speed of the bicycle, v, the radius of the curvature of the turn, r, and the acceleration due to gravity, g b. Calculate θ in degrees for a turn taken at 9.52 m/s with a radius of curvature 43.3 m
Part of riding a bicycle involves leaning at the correct angle when making a turn; the first figure in the image carousel shows a rider leaning the bicycle at an angle θ from the vertical. To be stable, the net force exerted by the ground where it contacts the tire must be on a line passing through the center of gravity. The forces have been summarized with a free-body diagram, as seen in the second figure in the image carousel. The ground exerts a normal force which is equal in magnitude to the combined weight of the bicycle and the rider. The ground additionally exerts a force due to static friction which is parallel to the ground, causing the bicycle to move in a circle.
a. Enter an equation for the tangent of an angle between the bicycle and the vertical terms of the speed of the bicycle, v, the radius of the curvature of the turn, r, and the acceleration due to gravity, g
b. Calculate θ in degrees for a turn taken at 9.52 m/s with a radius of curvature 43.3 m
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