Relative velocity of river swimmer

Click For Summary

Discussion Overview

The discussion revolves around the concept of relative velocity in swimmer-river physics problems, specifically whether the velocity of a swimmer in still water is equivalent to the velocity of the swimmer with respect to the ground or with respect to the river. Participants express confusion and seek clarification on this topic, which involves theoretical and practical aspects of fluid dynamics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that in still water, the velocity of the swimmer is the same with respect to both the ground and the river, suggesting both interpretations are correct.
  • Others argue that the context of the problem is crucial, especially when a current is involved, and that the problem may be incompletely specified if it does not clarify which reference frame is intended.
  • A participant mentions that using the velocity through the water vector and the velocity of the water vector is straightforward, as the velocity over the ground is the vector sum of these two velocities.
  • Another participant shares their experience with solving similar problems and explains their reasoning for considering the velocity in still water as the velocity with respect to the river.
  • Some participants express ongoing confusion about the concept, despite references to textbooks and explanations provided by others.
  • A participant introduces a rule regarding absolute motion, relative motion, and dragging motion, suggesting that understanding these concepts simplifies problem-solving.

Areas of Agreement / Disagreement

Participants generally express confusion and uncertainty regarding the correct interpretation of relative velocity in this context. Multiple competing views remain, with no consensus reached on which reference frame should be used in swimmer-river problems.

Contextual Notes

Some participants note that the discussion may depend on specific assumptions about the reference frames and the conditions of the water flow, which are not always clearly defined in problems.

gracy
Messages
2,486
Reaction score
83
in swimmer-river physics problems ,velocity of swimmer in still water=velocity of swimmer with respect to ground OR velocity of swimmer in still water=velocity of swimmer with respect to river
which of these is correct .I am really confused.
 
Last edited:
Physics news on Phys.org
I don't know anything about swimming. In flying, a pilot uses "ground speed" for navigation and "airspeed" for performance characteristics. They're related and both are necessary. I would expect swimming to be similar, since fluid dynamics rules both situations.
 
Danger said:
I don't know anything about swimming. In flying, a pilot uses "ground speed" for navigation and "airspeed" for performance characteristics. They're related and both are necessary. I would expect swimming to be similar, since fluid dynamics rules both situations.
i am talking in context of swimmer-river physics numericals.
 
Sorry... I just re-read your first post more carefully. In still water, there is no difference between the river and the ground as reference points, so both of your choices are correct.
 
gracy said:
in swimmer-river physics problems ,velocity of swimmer in still water=velocity of swimmer with respect to ground OR velocity of swimmer in still water=velocity of swimmer with respect to river
which of these is correct .I am really confused.

In still water, they're the same so are both equally correct. If there's a current, then the problem is incompletely specified if it doesn't say which one is intended.

In some problems, you will be expected to figure out which one is intended from the context.
 
  • Like
Likes   Reactions: gracy
There is no problem if you use the velocity through the water vector and the velocity of the water vector. The velocity over the ground is the vector sum. How is that confusing? Vectors work that way and sticking to the rules will give the right answer. (As long as we avoid relativistic situations or different geometries)
 
I have done so many problems like these (river-boat). I have done those from I E IRODOV and S S KROTOV. There I took velocity in still water as velocity wrt river.
Reason : if I am the river, to me I am at rest. To earth, I am flowing. Hence to me the boat moves with the velocity the sailor thinks he is moving...
I have got all answers using this. I was confused initially.IF U HAVE A SPECIFIC QUESTION, I CAN SHOW YOU HOW TO USE RELATIVE VELOCITY CONCEPT.
 
AdityaDev said:
I have done so many problems like these (river-boat). I have done those from I E IRODOV and S S KROTOV. There I took velocity in still water as velocity wrt river.
Reason : if I am the river, to me I am at rest. To earth, I am flowing. Hence to me the boat moves with the velocity the sailor thinks he is moving...
I have got all answers using this. I was confused initially.IF U HAVE A SPECIFIC QUESTION, I CAN SHOW YOU HOW TO USE RELATIVE VELOCITY CONCEPT.
you are right in my textbook also velocity in still water is taken as velocity wrt river.But i am still not getting it' reason.
 
gracy said:
you are right in my textbook also velocity in still water is taken as velocity wrt river.But i am still not getting it' reason.
I guess "velocity In still water" is short for "velocity in the reference frame where the water is at rest", or for "velocity in the ground frame if the water wouldn't move relative to the ground".
 
  • #10
Always remember the simple rule that absolute motion is relative motion plus dragging motion, where:

Absolute motion => that of the swimmer with respect to the river's bank
Relative motion => that of the swimmer with respect to the water
Dragging motion => that of the water with respect to the river's bank

With that in mind, solving that type of problems becomes very easy.
 
  • Like
Likes   Reactions: Danger
  • #11
gracy said:
you are right in my textbook also velocity in still water is taken as velocity wrt river.But i am still not getting it' reason.
1)Imagine you are the river.to you, you are at rest.
2)Now velocity in still water means that the water is not flowing. The possibilities are that it can be with respect to ground or wrt river.
3) If I am the ground, I can see the river flowing.Hence it is not wrt ground.
4)If I am the river I feel that I am at rest. It is like traveling in a train on a very smooth track. You can't feel the train moving unless you look out of the window.Hence it has to be wrt river.
5) If you still don't understand ask your physics teacher or refer " Halliday Resnick and Krane" book or any mechanics book by reputed authors.
 

Similar threads

  • · Replies 52 ·
2
Replies
52
Views
20K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 68 ·
3
Replies
68
Views
5K