How Do You Calculate Velocity on a Circular Path Using Polar Coordinates?

In summary, the conversation involves discussing a homework problem that involves using polar coordinates and the energy conservation approach. There is a question about whether the value given for r is the arc length or radius, and a correction is made. There is also a question about the presence of 1/2 in the energy conservation equation, which is later acknowledged as a mistake.
  • #1
nysnacc
184
3

Homework Statement


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14.103_02.PNG


Homework Equations


s= r* theta
1/2 mv^2 = mgh energy conservation

The Attempt at a Solution


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I think I might be having something wrong in the attempt. And how do you do using the polar coordinate approach?

14.103_03.PNG
14.103_04.PNG
 
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  • #2
Hey

The question gives r as 6m, not the arch length as 6m?

Cant help with much else tho! :)
 
  • #3
OHHHH yes. r = 6m, so I can save time for getting that, good catch :)
And am I doing well on the energy conservation approach?
 
  • #4
I can't see your working very clearly on this tablet I'm using but where does the 1/2 come from in 1/2*m*g*h
 
  • #5
CWatters said:
I can't see your working very clearly on this tablet I'm using but where does the 1/2 come from in 1/2*m*g*h
I wrote it wrong, it shouldn't be 1/2 there
 

FAQ: How Do You Calculate Velocity on a Circular Path Using Polar Coordinates?

What is the velocity of an object moving in a circular path?

The velocity of an object moving in a circular path is the rate of change of its position with respect to time. It is a vector quantity that describes both the speed and direction of the object's motion.

How is the velocity of a circular path calculated?

The velocity of a circular path can be calculated by dividing the circumference of the circle by the time it takes for the object to complete one full revolution. This is known as the angular velocity, which is measured in radians per second.

Does the velocity of a circular path change?

Yes, the velocity of a circular path can change if the speed or direction of the object's motion changes. For example, if the object speeds up or slows down, its velocity will change. Additionally, if the object changes direction, its velocity will also change.

What is the relationship between velocity and acceleration in a circular path?

In a circular path, the velocity and acceleration are always perpendicular to each other. This means that as the object moves in a circular path, its velocity is constantly changing, but its acceleration remains constant and directed towards the center of the circle.

Can the velocity of a circular path be negative?

Yes, the velocity of a circular path can be negative if the object is moving in the opposite direction of its initial direction. In this case, the direction of the velocity vector will be opposite to the direction of the object's motion.

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