Asked by Victoria
What is the greatest safe speed, without skidding, that a 1700 kg car can have on a level curve of radius 215 meters if Mk=0.4 and Ms=.85?
The correct answer is 42.3 but idk how to get it.
The correct answer is 42.3 but idk how to get it.
Answers
Answered by
MathMate
μs determines when skidding will begin.
Maximum centripetal force provided by static friction
= (μs)mg
Maximum speed = v,
centrifugal force
= mv^2/r
At equilibrium,
(μs)mg = mv^2/r
Solve for v
v=sqrt(μs * rg)
=sqrt(0.85*215*9.81)
=42 m/s approximately
Maximum centripetal force provided by static friction
= (μs)mg
Maximum speed = v,
centrifugal force
= mv^2/r
At equilibrium,
(μs)mg = mv^2/r
Solve for v
v=sqrt(μs * rg)
=sqrt(0.85*215*9.81)
=42 m/s approximately
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