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background: When the wheels of a car are rolling, there is no relative motion between the road and the tire with which it is in contact. When there is relative motion between the road and the tire in contact, the car is skidding. So: A road safety problem. A corner in a flat road has a constant radius of r = 25 m. Air resistance and rolling resistance are zero (Hey, I want a car like that!), and the ca is travelling at constant speed. What is the centripetal acceleration in terms of v and r? O v?r O vr? O O

background: When the wheels of a car are rolling, there is no relative motion between the road and the tire with which it is in contact. When there is relative motion between the road and the tire in contact, the car is skidding. So: A road safety problem. A corner in a flat road has a constant radius of r = 25 m. Air resistance and rolling resistance are zero (Hey, I want a car like that!), and the ca is travelling at constant speed. What is the centripetal acceleration in terms of v and r? O v?r O vr? O O

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10. background: When the wheels of a car are rolling, there is no relative motion between the road and the tire with which it is in contact. When there is relative motion between the road and the tire in contact, the car is skidding. So: A road safety problem. A corner in a flat road has a constant radius of r = 25 m. Air resistance and rolling resistance are zero (Hey, I want a car like that!), and the car is travelling at constant speed. What is the centripetal acceleration in terms of v and r? O v?r O vr2
Transcribed Image Text:10. background: When the wheels of a car are rolling, there is no relative motion between the road and the tire with which it is in contact. When there is relative motion between the road and the tire in contact, the car is skidding. So: A road safety problem. A corner in a flat road has a constant radius of r = 25 m. Air resistance and rolling resistance are zero (Hey, I want a car like that!), and the car is travelling at constant speed. What is the centripetal acceleration in terms of v and r? O v?r O vr2
A road safety problem. A corner in a flat road has a constant radius of r = 25 m. Air resistance and rolling resistance are zero. (Hey, I want a car like that!), and the car is travelling at constant speed. What is the maximum speed our car can go round this corner without skidding? For a reasonably clean, dry road, take the coefficients of static and kinetic friction to be Hs = 1.0 and Hk = 0.80. Hint: What horizontal force is acting on the car? Maximum speed kph
Transcribed Image Text:A road safety problem. A corner in a flat road has a constant radius of r = 25 m. Air resistance and rolling resistance are zero. (Hey, I want a car like that!), and the car is travelling at constant speed. What is the maximum speed our car can go round this corner without skidding? For a reasonably clean, dry road, take the coefficients of static and kinetic friction to be Hs = 1.0 and Hk = 0.80. Hint: What horizontal force is acting on the car? Maximum speed kph
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