Solving Speed of Train on Curve of Radius 235m

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AI Thread Summary
To determine the speed of a train rounding a curve with a radius of 235 m and a chandelier swinging at an angle of 17.5°, the relevant equations involve centripetal acceleration and the forces acting on the chandelier. The angle indicates the relationship between the tension in the chandelier's string and gravitational force, which can be analyzed using a free body diagram. While the user struggles with the concepts of acceleration, velocity, and time, they are encouraged to focus on the forces at play and how they relate to the train's speed. Understanding the geometry of the situation and applying trigonometric functions will help solve for the speed. Clarifying these concepts is essential for completing the problem before the deadline.
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Homework Statement



A train traveling at a constant speed rounds a curve of radius 235 m. A chandelier suspended from the ceiling swings out to an angle of 17.5° throughout the turn. What is the speed of the train?

Homework Equations



a=v^2/r
use of cosine and sine

v=2x3.14xr/T

The Attempt at a Solution



Not sure what 17.5 degrees tells me about the problem, except its continuing along straight while the train turns. I tried to draw but it really doesn't make much sense to me. Also, even if I did compute using cosine and sine, what would that tell me about the problem except distance? And, I can't find acceleration, velocity, or period without time.
Any thoughts?
 
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Consider the forces on the chandelier (draw a free body diagram). You will have the tension of the string, and gravity.
 
I did that and I guess I can derive T from the triangle, but since T is a unit of time, I would have to cancel the time from both sides. Where is the unit of time in my free body diagram?
 
Somebody please help I have to get this done by a deadline!
 
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