Thread: physics

a 1500 kg. moving on a flat horizontal road negotiates a curve if radius of the curve is 35 meter and the static friction between the tires and dry pavement is a 0.50,find maximum velocity of car to make tha turn successfully?

Originally Posted by alderon

a 1500 kg. moving on a flat horizontal road negotiates a curve if radius of the curve is 35 meter and the static friction between the tires and dry pavement is a 0.50,find maximum velocity of car to make tha turn successfully?

Maximum lateral force available before car starts to skid is 1500*g*0.5 N, so
maximum lateral accelleration befor onset of skid is 0.5 g ~= 5 m/s^2.

Lateral acceleration in a turn is v^2/r m/s^2, so we have:

v^2/35 = 5,

or

v^2 = 175,

or:

v=13.2 m/s

RonL