- 7

- 0

**1. Homework Statement**

A curve of radius 60m is banked for a design speed of 100km/h. If the coefficient of static friction is 0.3 (wet pavement), at what range of speeds can a car safely make the curve?

v = 100km/hr = 27.8m/s

x = ?

r = 60m

a_r = 12.9m/s²

u = 0.3

**2. Homework Equations**

tan(x) = v²/rg

a_r = v²/r

**3. The Attempt at a Solution**

The part i'm stuck at is I know i'm missing an equation. The one that mass cancels out to find how the forces can give me the max speed etc. with the coefficient of friction.

tan(x) = (27.8)²/(60)(9.8) = 1.31

x = 52.6°

a_r = (27.8)²/60 = 12.9m/s²