Posted by **Emily Grossman** on Tuesday, February 22, 2011 at 2:03pm.

If a curve with a radius of 88m is perfectly banked for a car traveling 75km/h, what must be the coefficient of static friction for a car not skid when traveling at 95 km/h?

- Physics -
**bobpursley**, Tuesday, February 22, 2011 at 2:21pm
change velocities to m/s

Then, sketch the bank and force vectors parallel to the bank.

1) mg*sinTheta=mv^2/r * cosTheta

where v=75km/hr in m/s

solve for tan theta (sin/cos).

verify that. Now, you increase speed, same angle.

mg*sinTheta+mu*mg*cosTheta=mv^2/r * cosTheta

so find mu. How is the easy way? divid e by cos theta , you know tan theta.

v= new speed (95 in m/s), solve for mu.

- Physics -
**Emily Grossman**, Tuesday, February 22, 2011 at 3:08pm
Can you show me step by step with the numbers in there? I am confused..

- Physics -
**LB**, Tuesday, October 20, 2015 at 6:20pm
-0.327

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