Uniform Circular Motion of streetcar

In summary, the loosely hanging hand straps on an old streetcar rounding a 9.1m radius corner at 4.444 m/s will form an angle with the vertical due to the centripetal acceleration acting on them. However, the car's weight and gravity also play a role in keeping the hand straps (and the car and its contents) on the ground. To determine the exact angle, one can use the formula tan(theta) = a/r, with a being the centripetal acceleration and r being the radius of the corner.
  • #1
suspenc3
402
0
An old streetcar rounds a flat corner of radius = 9.1m at 4.444 m/s.
What angle with the vertical will be made by the loosely hanging hand straps.

I don't really know what I am looking for, Can anyone Help?
 
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  • #2
Start by drawing a diagram. What forces are acting on the hand straps? Think why the hand straps should form any angle with the vertical.
 
  • #3
centripetal acceleration would act on the handstraps
a = vsquared/r

a=2.1m/s(squared)

is that all that acts on them
 
  • #4
Almost. What keeps the car (and the hand straps, and pretty much everything else) on ground? :smile:
 
  • #5
Gravity ?
 
  • #6
Yep.
Now, the direction of the resultant force?
 
  • #7
could i do this:

tan(theta) = 9.8m/s(squared) / 2.1m/s(squared
 
  • #8
Yes, but as the requested angle was the angle with the vertical (not horizontal), you should switch the forces' (accelerations', as mass cancels out) places.
 
  • #9
ohhh..oops..thats what i meant in the first place

Thanks
 

1. What is uniform circular motion?

Uniform circular motion refers to the motion of an object moving in a circular path at a constant speed. This means that the object's velocity remains constant, but its direction changes as it moves along the circular path.

2. How does a streetcar maintain uniform circular motion?

A streetcar maintains uniform circular motion through the use of centripetal force. This force acts towards the center of the circular path, keeping the streetcar moving in a circular motion at a constant speed.

3. What factors affect the uniform circular motion of a streetcar?

The speed of the streetcar and the radius of the circular path are the main factors that affect its uniform circular motion. A higher speed or a smaller radius will result in a greater centripetal force and a tighter circular path, while a lower speed or a larger radius will result in a smaller centripetal force and a wider circular path.

4. Can a streetcar experience non-uniform circular motion?

Yes, a streetcar can experience non-uniform circular motion if its speed or direction changes while moving along the circular path. This will result in a non-constant velocity, and the streetcar will not maintain a circular path.

5. How is uniform circular motion related to other types of motion?

Uniform circular motion is a type of rotational motion, where an object rotates around a fixed point at a constant speed. It is also closely related to linear motion, as the centripetal force required for uniform circular motion can be thought of as a change in direction of the streetcar's linear velocity.

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