*PLEASE EXPLAIN HOW TO SOLVE STEP BY STEP - INCLUDING WHAT EQUATIONS. I want to
ID: 1522532 • Letter: #
Question
*PLEASE EXPLAIN HOW TO SOLVE STEP BY STEP - INCLUDING WHAT EQUATIONS. I want to understand how to solve the problem, not just the answer. Thanks!!
You are hired as a new road designer for a city and you have to design two curves to keep drivers safe.
(A) The first corner is round curve on flat road with a radius of 60 meters. You must ensure that cars with a mass of 1000 kg can safely round the curve at 70 miles per hour. What coefficient of static friction should your asphalt have to keep people from skidding off the road?
(B) The second corner is a banked curve of radius 30 meters. What angle theta should you build the bank to ensure that cars traveling at 45 miles per hour can safely make the curve without skidding off the road (ignoring friction)
Explanation / Answer
A)
centrepetal force if provided by friction
mv^2/R = umg
v^2/R = ug
u = v^2/Rg
v= 70miles/hr = 31.3m/sec
therefore
u = 1.67
b)
for banking cases
we have
tan theta = v^2/Rg
v = 45miles/hr = 20.11m/s
theta = tan inverse (1.3755)
theta = 53.9 degree
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