Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 5, Problem 93P
To determine
The banking angle of the curve.
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A car rounds a level turn with an 85-m radius. Suppose it is an icy day when the coefficients of static and kinetic friction between the car's tires and road are .15 and .13, respectively. What is the largest speed the car can take the turn withoit slipping?
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A 1500-kg car approaches a horizontal curve at constant speed of 30 m/s. The radius of the curve is 180 m. What must be the minimum value for the coefficient of static friction between the tires and the road in order for hte car to round the curve without skidding?
Chapter 5 Solutions
Physics for Scientists and Engineers
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- What coefficient of friction do cars need on a flat curve? (a) Calculate the centripetal force exerted on a 950 kg car that negotiates a 450 m radius curve at m 20.0 S Enter to 3 significant figures Fo 0.224 N (b) Assuming an unbanked curve, find the minimum static coefficient of friction between the tires and the road, static friction being the reason that keeps the car from slipping (see figure below). W ! No, that's not the correct answer. Free-body diagram f N W ƒ = F Caption: This car on level ground is moving away and turning to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. A minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway. Enter to 3 significant figures Hs= 0.224 √arrow_forwardA highway exit ramp was constructed at an angle of 12 degrees and has a radius of 54m. What speed limit should be posted to ensure that drivers can maneuver the curve safely without relying on friction? Include a force diagram. Why is it possible (although not recommended!) to make it through a curve driving faster than the proposed speed limit?arrow_forwardIf a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). a) calculate the minimum speed, in meters per second, required to take a 92 m radius curve banked at 11 degrees so that you don't slide inwards, assuming there is no friction. b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 25 km/h?arrow_forward
- If a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). a) Calculate the minimum speed, in meters per second, required to take a 84 m radius curve banked at 14° so that you don't slide inwards, assuming there is no friction. b)What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 25 km/h?arrow_forwardA car is moving with a constant speed 17.4 m/s around a level curve. The coefficient of static friction between the tires and the road is 0.5. What is the minimum radius of the curve if the car is to stay on the road? Round your answer to the nearest meter.arrow_forwardIf a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). Calculate the minimum speed, in meters per second, required to take a 108 m radius curve banked at 13° so that you don't slide inwards, assuming there is no friction. What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 15 km/h?arrow_forward
- If a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads).Calculate the minimum speed, in meters per second, required to take a 84 m radius curve banked at 13° so that you don't slide inwards, assuming there is no friction. What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 19 km/h?arrow_forwarda 650 kg car is taking a circular turn with a radius of 225 m that is banked with a 20 grade. If there is a coefficient of friction of 0.20 between the tires and the road, what use the maximum velocity the car can go without slipping up or down the turn?arrow_forwardA car goes around a curve on a road that is banked at an angle of21.5°. Even though the road is slick, the car will stay on the roadwithout any friction between its tires and the road when its speedis 19.8 m>s. What is the radius of the curve?arrow_forward
- A 1335 kg sports car rounds a flat curve of radius 40 m. Given that the coefficient of static friction betweeen the tires and road is 0.5, calculate what maximum speed the car can round the road without slidding.arrow_forwardAt what maximum speed can a car negotiate a turn on a wet road with coefficient of static friction 0.200 without sliding out of control? The radius of the turn is 27.5 m.arrow_forwardIf a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). A.)Calculate the ideal speed in (m/s) to take a 80 m radius curve banked at 15° B.)What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h?arrow_forward
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