A train traveling at a constant speed

Click For Summary
SUMMARY

A train traveling at a constant speed rounds a curve with a radius of 200 m, causing a chandelier to swing out at an angle of 17.0°. The force causing the chandelier to sway is the result of centripetal acceleration, which acts perpendicular to the gravitational force. To determine the speed of the train, one must apply the formula for centripetal force and analyze the forces acting on the chandelier, including gravity and tension. The relationship between these forces dictates the chandelier's angle and the train's speed.

PREREQUISITES
  • Centripetal acceleration concepts
  • Understanding of gravitational force
  • Basic trigonometry for angle calculations
  • Newton's laws of motion
NEXT STEPS
  • Calculate centripetal force using the formula F = mv²/r
  • Explore the relationship between tension and gravitational force in pendulum motion
  • Study the effects of angular displacement on pendulum dynamics
  • Learn about the application of Newton's second law in circular motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to clarify concepts related to forces and motion.

sugarntwiligh
Messages
24
Reaction score
0

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.
 
Physics news on Phys.org
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?
 

Similar threads

Train collision prevention problem
  • · Replies 8 ·
Replies
8
Views
4K
Kinematics Problem: Train braking and blocking an intersection
  • · Replies 1 ·
Replies
1
Views
2K
Two decelerating trains on a collision course
  • · Replies 2 ·
Replies
2
Views
2K
Train collision (linear kinematics)
  • · Replies 6 ·
Replies
6
Views
2K
Solving Speed of Train on Curve of Radius 235m
  • · Replies 4 ·
Replies
4
Views
2K
Confusion with train collision with constant acceleration
  • · Replies 1 ·
Replies
1
Views
2K
A passenger train is traveling at 27 m/s when the engineer s
  • · Replies 4 ·
Replies
4
Views
2K
AP Physics 1 kinematics problem
  • · Replies 1 ·
Replies
1
Views
2K
Train with constant acceleration, catching it with constant velocity?
  • · Replies 12 ·
Replies
12
Views
5K
A plane, diving with constant speed at an angle of 53.0 degrees....
  • · Replies 2 ·
Replies
2
Views
3K