Find max. speed with Static Friction

[iLove]

Suppose the designated speed for the ramp is to be 13.2 m/s (29.5 mi/h) and the radius of the curve is 34 m.

The coefficient of static friction between the tires and the road is 0.33. What maximum speed could a car negotiate the exit ramp without skidding?


Vmax = square root of (µ(static) g r)

Vmax = Maximum velocity
g = Acceleration due to gravity (9.80 m/sec^2)
r = Radius of curve
µ = Coefficient of static friction

Vmax = 10.485 m/s

however, this answer wasn't right. what am i doing wrong? THANKS.

 

[tiny-tim]

Welcome to PF!

Hi iLove! Welcome to PF!

Can you give us a little more information?

I can't quite picture this … is there a curve and an exit ramp, or are they the same thing?

And what is the relevance of the designated speed?

And I don't understand where g comes into it.

 

[iLove]

Hi tiny-tim :)
No, there is no exit ramp, just a curve. But I already got the problem solved because it was due 25 minutes ago.

Thank you for making me feel welcomed ^^

 

[tiny-tim]

Hi iLove!

I'm glad you solved it!

(you can mark it "SOLVED" by clicking on Thread Tools on the menu bar)

Do leave a bit more time next time … and remember, most of the people on this forum are asleep at this time of day! :zzz: