Relationship of an object's acceleration with velocity while falling in a fluid

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Discussion Overview

The discussion revolves around the relationship between an object's acceleration and its velocity while falling in a fluid. Participants explore the dynamics involved, including forces acting on the object and the implications of fluid resistance.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant seeks clarification on how acceleration varies with velocity for an object moving in a fluid.
  • Another participant suggests that the object experiences constant acceleration due to a net force overcoming fluid resistance, referencing Newton's second law (F=ma).
  • This participant also provides a formula for acceleration (a = (v-u)/t) and connects acceleration to the rate of change of velocity.
  • A later reply mentions that the answer relates to Stoke's Law, indicating a possible connection to fluid dynamics.

Areas of Agreement / Disagreement

The discussion does not reach a consensus, as participants express different levels of understanding and reference various concepts without resolving the relationship definitively.

Contextual Notes

There are limitations in the assumptions made regarding the forces acting on the object and the specific conditions under which the relationship holds, such as the type of fluid and the object's shape.

Who May Find This Useful

This discussion may be of interest to students and practitioners in physics, fluid dynamics, and engineering, particularly those exploring motion in fluids and related forces.

HuaYongLi
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Could anyone please tell me how the acceleration of an object in a fluid varies with its velocity.
 
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I'm sorry but to make it clearer do you mean to basically ask how prove that acceleration is related to velocity of an object that is moving in a fluid right?

So, that means that the object is traveling at a constant acceleration which technically means that there is an overall force acting on the object overcoming the resistive force of the fluid that enables it to accelerate. Hence, using the basic formula F=ma, that means that the object is accelerating due to a constant force acting on it.

And a = (v-u)/t

where u is the initial velocity at the start of a certain period of time and v is the final velocity at that period of time.

Acceleration is the rate of change of velocity so that is how it is related to the velocity? I hope I'm not lost. I'm scared I'm not making any sense here...
 
Sorry, my classmate used this account to post an question about his experiment I couldn't answer at that particular moment for him.
I just realized that the answer is simply a rehash of Stoke's Law.
 
Oh awesome man. Anyways, glad you found your answer:)
 

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