A train traveling at a constant speed

AI Thread Summary
A train rounding a curve with a radius of 200 m causes a chandelier to swing out at a 17.0° angle, raising questions about the forces at play. The chandelier's deviation from vertical is influenced by the centripetal force required for the train's circular motion, which interacts with gravity. Understanding the relationship between these forces is crucial for calculating the train's speed. The discussion emphasizes the need for clarity on how the chandelier's orientation affects velocity and the relevant formulas involved. This problem highlights the complexities of dynamics in circular motion.
sugarntwiligh
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Homework Statement



A train traveling at a constant speed rounds a curve of radius 200 m. A chandelier suspended from the ceiling swings out to an angle of 17.0° throughout the turn. What is the speed of the train?

I am confused about the orientation of the chandelier to the turn and how it impacts velocity, especially from where my unit of time is. I posted a problem like this earlier for a homework problem and got no response so I got it wrong. Now, it came up again in the take home, so I am really screwed.
 
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sugarntwiligh said:

Homework Statement



A train traveling at a constant speed rounds a curve of radius 200 m. A chandelier suspended from the ceiling swings out to an angle of 17.0° throughout the turn. What is the speed of the train?

I am confused about the orientation of the chandelier to the turn and how it impacts velocity, especially from where my unit of time is. I posted a problem like this earlier for a homework problem and got no response so I got it wrong. Now, it came up again in the take home, so I am really screwed.

Normally the chandelier hangs straight down.
What force makes it sway from the vertical?

Won't that force's relationship with gravity cause the sway of 17 degrees?
And what is the formula for that force that causes it to sway outward?
 
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