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Hydroshock
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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
Homework Equations
tan(x) = v²/rg
a_r = v²/r
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