A curve of radius 60 m is banked for a design speed of 100 km/h. If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely make the curve?
I am not sure how to solve this without knowing the mass of the car. Apparently it can be done but I am not seeing it in my book. In every equation I either have to have the mass or have known the mass of the car in order to calculate this.
Can I work backwards from calculating the banking angle?
Any ideas...?
2006-09-23 06:51:28 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Physics
Write down the forces at work: centripetal, centrifugal, friction, and weight. Each force has a well known equation. I think you will be able to solve your problem because the mass (m) of the same car in each equation will cancel out when the various forces are equated to keep the car on the curve.
2006-09-23 07:08:07 · answer #1 · answered by oldprof 7 · 0⤊ 0⤋
The lower range is necessary to keep in motion and the upper to prevent flying off.
2006-09-23 06:54:21 · answer #2 · answered by ag_iitkgp 7 · 0⤊ 0⤋