A train traveling at a constant speed rounds a curve of radius 350 m. A chandelier suspended from the ceiling swings out to an angle of 15.0° throughout the turn. What is the speed of the train?
I got 91.63 m/s when I first tried, which according to my online guide is wrong?
- kirchweyLv 71 decade agoFavorite Answer
The lateral centripetal acceleration due to the curve Ac = g*tan(15deg) = 2.626 m/s^2 (assuming g = 9.8 m/s^2). Also Ac = v^2/r. Thus
v = sqrt(2.626*350) = 30.316 m/s.