Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen in Figure 6.36. To be stable, the force exerted by the ground must be on a line going through the center of gravity. The force on the bicycle wheel can be resolved into two perpendicular components-friction parallel to the road (this must supply the centripetal force), and the vertical normal force (which must equal the system's weight). Find how the angle is related to the speed and radius of curvature of the turn in the same way as for an ideally banked roadway-Calculate the angle for a 12.0 m/s turn of radius 30.0 m (as in a race). N Angle = Free-body diagram W O F CG

Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen in Figure 6.36. To be stable, the force exerted by the ground must be on a line going through the center of gravity. The force on the bicycle wheel can be resolved into two perpendicular components-friction parallel to the road (this must supply the centripetal force), and the vertical normal force (which must equal the system's weight). Find how the angle is related to the speed and radius of curvature of the turn in the same way as for an ideally banked roadway-Calculate the angle for a 12.0 m/s turn of radius 30.0 m (as in a race). N Angle = Free-body diagram W O F CG

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Part of riding a bicycle involves leaning at the correct angle when making a
turn, as seen in Figure 6.36. To be stable, the force exerted by the ground
must be on a line going through the center of gravity. The force on the
bicycle wheel can be resolved into two perpendicular components-friction
parallel to the road (this must supply the centripetal force), and the vertical
normal force (which must equal the system's weight). Find how the angle is
related to the speed and radius of curvature of the turn in the same way as
for an ideally banked roadway-Calculate the angle for a 12.0 m/s turn of
radius 30.0 m (as in a race).
N
Angle =
Free-body diagram
W
F
F
f
CG
W
I
F = sum of
N and f
N=w

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Step 1: Free body diagram of system

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Step 2: Determining the relation of theta with speed and radius

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