Demystifying the Equation: Understanding the Meaning of Variables in dp/dt=F

  • Thread starter Thread starter mart
  • Start date Start date
  • Tags Tags
    Formula
Click For Summary
The equation dp/dt=F represents the derivative of momentum (p) with respect to time (t), indicating the rate of change of momentum. The 'd' in this context signifies an infinitesimal change, distinguishing it from 'delta,' which typically represents a finite change. Understanding this distinction clarifies the relationship between momentum and force, as force is the rate of change of momentum over time. The discussion highlights that while 'd' and 'delta' are related, they serve different purposes in calculus. This clarification enhances comprehension of the equation's implications in physics.
mart
Messages
5
Reaction score
0
I was watching a video and this guy comes up with a formula which I should know and it is not very strange to me, but there is this 'd' variable, which I believe we don't use in my country... perhaps we give it another name or so and I'm getting quite confused reading american/english materials anyways :
\frac{dp}{dt}=F

Could you kindly do a legend of this equation? I mean what the variables stand for.
Thanks for the support this is a great forum
 
Physics news on Phys.org
"d" isn't a variable in this case. dp/dt is the derivative of momentum with respect to time, i.e. the rate of change of momentum with respect to time, from calculus.
 
so isn't that equivalent to delta?
I got it if that is the case, it makes much more sense now :)
 
delta and "d" are very similar depending on how they are used...
often delta is a larger displacement than a tiny infinitesimal displacement "d".

see here alongside the first diagram:

http://en.wikipedia.org/wiki/Derivative

"change in y"/ " change in x" is delta y/delta x and the derivative is defined as the limit as delta approaches zero...
 
Thread 'What is the pressure of trapped air inside this tube?'
As you can see from the picture, i have an uneven U-shaped tube, sealed at the short end. I fill the tube with water and i seal it. So the short side is filled with water and the long side ends up containg water and trapped air. Now the tube is sealed on both sides and i turn it in such a way that the traped air moves at the short side. Are my claims about pressure in senarios A & B correct? What is the pressure for all points in senario C? (My question is basically coming from watching...

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
983
  • · Replies 1 ·
Replies
1
Views
2K
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
4
Views
1K
  • · Replies 16 ·
Replies
16
Views
3K