Posted by engmath on Monday, February 22, 2010 at 9:52pm.
A car traveling on a flat (unbanked) circular track accelerates uniformly from rest with a tangential acceleration of 1.70 m/s2.The car makes it one quarter of the way around the circle before it skids off the track. Determine the coefficient of static friction between the car and track from these data.
I thought the answer was 0.5449 but its wrong. no matter what I do i keep getting the same answer!

Physics  bobpursley, Monday, February 22, 2010 at 11:24pm
Why would you think the answer is .5446? I will be happy to critique your work

Physics  bobpursley, Monday, February 22, 2010 at 11:27pm
you need to round off to three sig digits

Physics  engmath, Tuesday, February 23, 2010 at 12:15am
α=a/r
the time it takes to travel π/2 radians is
related by
π/2=.5*a*t^2/r
solve for t
t=sqrt(π*r/a)
ω=α*t
Plug in t and a/r
ω=sqrt(a*π/r)
The force is m*ω^2*r
F=m*a*π
friction is
m*g*µs
then
m*g*µs=m*a*π
so basically....
µs=a*π/g
=1.70pi/9.8= 0.54497 ====> sig figs 0.545

Physics  engmath, Tuesday, February 23, 2010 at 12:16am
and that answer comes up as incorrect...

Physics  Nurik, Thursday, April 28, 2016 at 12:58pm
From which book this tasks?
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