- #1
Maiia
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Homework Statement
A curve of radius r is banked at angle θ so that a car traveling with uniform speed v can
round the curve without relying on friction to keep it from slipping to its left or right.
The acceleration of gravity is 9.8 m/s2. If r = 50 m and v = 64 km/hr, what is θ?
Answer in units of ◦.
For this one, I drew a FBD. In my picture, Fny and Fg canceled each out, so the unbalanced force was Fnx. I used N2nd Fnet=ma and used components:
Fnx=max
Fnsintheta=max
Fny= mg
Fncostheta=mg
then i divided them:
Fsintheta max
--------- = --------
Fcostheta mg
The masses canceled out on the right and on the left I had tantheta.
on the right, ax/g= v^2/rg
When I plugged in numbers, I got theta= approx 90 degrees. However, when I submit this answer, it is wrong..could someone help me find out where I messed up?