Calculating Minimum & Maximum Speed for an Icy Curve

AI Thread Summary
To calculate the minimum coefficient of friction needed to prevent sliding on a flat curve with a radius of 220.0 m and a car speed of 21.0 m/s, the value found is 0.205. For icy conditions where the coefficient of friction is reduced to one-third of this value, the maximum safe speed can be determined using the same relationship. The formula involves taking the square root of the adjusted coefficient of friction divided by the radius. By substituting the new coefficient of friction into the equation, the maximum speed can be calculated. Understanding these principles is essential for safely navigating icy curves.
physicsgirlie26
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A flat (unbanked) curve on a highway has a radius of 220.0 m. A car rounds the curve at a speed of 21.0 m/s.

What is the minimum coefficient of friction that will prevent sliding?

Suppose the highway is icy and the coefficient of friction between the tires and pavement is only one-third what you found in part A. What should be the maximum speed of the car so it can round the curve safely?




Can someone help me. I don't know what to do for the second part. I found the minimum coefficient to be .205 but i can't find the maximum speed.

Is the equation squareroot of coefficient of friction divided by radius?
 
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How did you get the first part? use the exact same relationship... just use coefficient of friction is 0.205/3. this time you're using the same equation... just solving for v.
 
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