A car traveling 65mph rounds an 100m radius horizontal curve with the tires on the verge of slipping. How fast can this car round a second curve or radius 300m? (assume the same amount of friction between the car's tires and each road surface)

Question

first curve
v=64mph= 29.05m/s
r=100m

second curve
r=300
v=?

To solve this problem would I do this:
v_1*r_1=v_2*r_2
(29.05)(100) = v_2(300)
2905=v_2(300)
v_2=9.68m/s

Is this correct?

Answer 1

If radius increases by a factor of 3, then v^2 increases by 3.