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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?.

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what do you need to know to determine how fast a car can go through a curve without slipping1

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
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 speed1
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 speed2
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
Calculate the maximum speed a car can go through a 50 m curve with rubber tires on dry asphalt.
solution
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