Angle due to angular acceleration

AI Thread Summary
To determine the banking angle of a curve with a radius of 54.7 m for a car traveling at 51 km/hr without friction, the relevant equations include centripetal acceleration and the tangent of the angle. The equation ma = mv^2/r is modified to account for the banking angle, leading to the consideration of forces acting at an angle. The discussion emphasizes the need for a proper explanation and understanding of the components involved in the problem. Participants encourage clarity in the approach to solving the problem. The focus remains on deriving the angle using the principles of physics related to motion on a banked curve.
notsam
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Homework Statement

A curve of radius 54.7 m is banked so that
a car of mass 2.4 Mg traveling with uniform
speed 51 km/hr can round the curve without
relying on friction to keep it from slipping on
the surface.At what angle is the curve banked? The
acceleration due to gravity is 9.8 m/s2 .
Answer in units of degrees.



Homework Equations

a=v^2/r, tan(theta)=o/a, f=ma, f=mv^2/r



The Attempt at a Solution

Ok so here's what I think. The basic equation should look something like this. ma=mv^2/r except its at an angle so. Maybe tan(theta)ma=mv^2/r?
 
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hi notsam! :smile:

(try using the X2 icon just above the Reply box :wink:)
notsam said:
Ok so here's what I think. The basic equation should look something like this. ma=mv^2/r except its at an angle so. Maybe tan(theta)ma=mv^2/r?

come off it! :rolleyes:

to pass the exams, you need to give a proper explanation …

now which direction do you think you should be taking components in (and why)? :smile:
 
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