70 likes | 166 Views
What do you need to know to determine how fast a car can go through a curve without slipping?. 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?.
E N D
What do you need to know to determine how fast a car can go through a curve without slipping?
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. Fc = mv2/r Ff = µ Fn and Fn = mg
What are the conditions for maximum speed? • When the centripetal force is equal to the frictional force. Fc = mv2/r Ff = µ Fn and Fn = mg Therefore: mv2/r = µmg
What are the conditions for maximum speed? • When the centripetal force is equal to the frictional force. Fc = mv2/r Ff = µ Fn and Fn = mg Therefore: mv2/r = µmg v2 = 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: Fc = mv2/r Ff = µ Fn and Fn = mg Therefore: mv2/r = µmg v2 = µgr v = (µgr) 1/2 v = ((.85)(9.81m/s2)(50m))1/2 v = 20.14 m/s