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A daredevil drives a motorcycle around a circular vertical wall 100 ft in diameter. The coefficient of friction between tires and the wall is 0.60. At what angle will the motorcycle be inclined to the horizontal? What is the effect of traveling at a greater speed?

A.) V= 35.3 mph, angle= 31°
B.) V= 56.2 mph, angle= 56°
C.) V= 12 mph, angle= 34°

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Answers

Answered by Marian
A) V=35.3 mph, angle=31 deg
g=gravity, u=coefficient of friction, r=radius, m=mass (which will be cancelled out later)
N=m(v^2/r)
uN=mg
u(m(v^2/r)=mg
You will get a formula of √rg/n for velocity
v=√50(32.2)/0.6
v=51.8 ft/s or 35.3 mph
Answered by Marian
For the angle..
the formula of coefficient of friction is tan θ=f
θ=tan^-1(0.60)
θ=30.96­­º >>degree of friction

the formula to use for the angle from the horizontal is
tan(θ(horizontal)-θ(friction))=v²/gr
input the values and you will get
θ=329.034485­­º / 31­­º from the horizontal
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