A traffic circle has a radius of 42 m. The traffic circle is not banked, and it is to be designed for a minimum coefficient of static friction between the tires and the road of 0.27. Find the maximum speed that a car can travel on the traffic circle without sliding.

Principles of Physics: A Calculus-Based Text
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Chapter5: More Applications Of Newton’s Laws
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Q10) A traffic circle has a radius of 42 m. The traffic circle is not banked, and it is to be designed for a minimum
coefficient of static friction between the tires and the road of 0.27. Find the maximum speed that a car can
travel on the traffic circle without sliding.
Solution:
The centre of the traffic circle is to the left in the FBD in Figure 8. The force of friction, as shown, points
to the centre of the circle; the normal force of the pavement on the car is vertically upward; and the
gravitational force is vertically downward.
a
mg
Fig. 8: The FBD of the car shows a frictional force, a normal force, and the force of gravity.
Transcribed Image Text:Q10) A traffic circle has a radius of 42 m. The traffic circle is not banked, and it is to be designed for a minimum coefficient of static friction between the tires and the road of 0.27. Find the maximum speed that a car can travel on the traffic circle without sliding. Solution: The centre of the traffic circle is to the left in the FBD in Figure 8. The force of friction, as shown, points to the centre of the circle; the normal force of the pavement on the car is vertically upward; and the gravitational force is vertically downward. a mg Fig. 8: The FBD of the car shows a frictional force, a normal force, and the force of gravity.
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