# What do you need to know to determine how fast a car can go through a curve without slipping?

## Presentation on theme: "What do you need to know to determine how fast a car can go through a curve without slipping?"— Presentation transcript:

What do you need to know to determine how fast a car can go through a curve without slipping?

Radius of curve Coefficient of friction

What are the conditions for maximum speed? When the centripetal force is equal to the frictional force. F c = mv 2 /r F f = µ Fnand Fn = mg

What are the conditions for maximum speed? When the centripetal force is equal to the frictional force. F c = mv 2 /r F f = µ Fnand Fn = mg Therefore: mv 2 /r = µmg

What are the conditions for maximum speed? When the centripetal force is equal to the frictional force. F c = mv 2 /r F f = µ Fnand Fn = mg Therefore: mv 2 /r = µmg v 2 = µgr v = (µgr) 1/2

Calculate the maximum speed a car can go through a 50 m curve with rubber tires on dry asphalt.

Solution: F c = mv 2 /r F f = µ Fnand Fn = mg Therefore: mv 2 /r = µmg v 2 = µgr v = (µgr) 1/2 v = ((.85)(9.81m/s 2 )(50m)) 1/2 v = 20.14 m/s

Similar presentations