What is the kinematics of a constant power motion?

In summary, this is a paper that is trying to find equations that describe the motion of an object under a constant power source. The author is asking for help with deriving the equations. He provides some examples of real-world processes that might exhibit this characteristic, but he wants to see a teaching discussion on what real-world motions would result from a given power source applied to an object.
  • #1
LeroyR/T
3
0
This isn't really a homework problem, but it has to do with classwork.

Homework Statement


Suppose and object is constrained to move only in one dimension and, subsequently, moves solely under a constant-power source. You are invited to provide a pedagogical discussion about the kinematics describing the motion of the object


Homework Equations



Supposed to find those.

The Attempt at a Solution



Attached my paper.


Yes, it's my first time posting and hope you all will not fault me for that. All I need help with is if yall think that this paper will suffice for this question. thanks! :biggrin:

EDIT: fixed
 

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  • #2
Welcome to the PF. You could save the document as a PDF and upload it -- there is a free PDF writer at PrimoPDF.com:

http://www.primopdf.com/

Or you could try saving it in one of the other formats that are supported by the PF software.
 
  • #3
berkeman said:
Welcome to the PF. You could save the document as a PDF and upload it -- there is a free PDF writer at PrimoPDF.com:

http://www.primopdf.com/

Or you could try saving it in one of the other formats that are supported by the PF software.

Thanks. So far this semester 2 other classmates and I have been struggling through our first year of physics. I decided to join here for the last month or 2 and hopefully for physics 2. I've seen that this is an amazing place to find information.
 
  • #4
Anyone?
 
  • #5
Interesting paper. I didn't go through all the math, but it looked like your approach was okay. I did see at least one small typo in the beginning of the paper:

There are four variables associated with finding describing the motion of an object

Probably deleting the word "finding" would fix it.

Also, I'm not sure what they are asking for when they say "pedagogical discussion". I guess that literally means a teaching discussion, and maybe deriving those equations is what they mean. But for me, I'd like to also see a discussion of what real-world processes might exhibit this constant power characteristic, and what kinds of real-world motions that would result in.

Can you give some examples? Do you think it would help the paper to list some of those examples? (If you don't think so, that's fair.)
 

FAQ: What is the kinematics of a constant power motion?

What is constant power kinematics?

Constant power kinematics is a concept in physics that describes the motion of an object under the influence of a constant power force. This means that the object's speed will increase at a constant rate, regardless of its mass.

How is constant power kinematics different from constant force kinematics?

In constant power kinematics, the force applied to an object is not constant, but the power is. This means that as the object's speed increases, the force required to maintain constant power decreases. In constant force kinematics, the force applied to an object remains constant, resulting in a slower increase in speed.

What is the equation for constant power kinematics?

The equation for constant power kinematics is P = Fv, where P is power, F is force, and v is speed. This equation shows that power is directly proportional to both force and speed.

How is constant power kinematics used in real life?

Constant power kinematics is used in many real-life applications, such as in the design of car engines and rockets. By maintaining a constant power output, these machines can achieve maximum acceleration and efficiency.

Can constant power kinematics be applied to rotational motion?

Yes, constant power kinematics can also be applied to rotational motion. In this case, the equation becomes P = τω, where P is power, τ is torque, and ω is angular velocity. This equation can be used to calculate the power output of rotating objects, such as engines and turbines.

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