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

[HuaYongLi]

Could anyone please tell me how the acceleration of an object in a fluid varies with its velocity.

 

[LG_FUAD]

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...

 

[HuaYongLi]

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.

 

[LG_FUAD]

Oh awesome man. Anyways, glad you found your answer:)

 

[PJC01]

The relationship between an object's acceleration and velocity while falling in a fluid is complex and can be influenced by various factors such as the density and viscosity of the fluid, the shape and size of the object, and the presence of external forces. In general, as an object falls through a fluid, it experiences a resistance force due to the fluid pushing against it. This resistance force, known as drag, increases with the object's velocity.

As the object's velocity increases, the drag force also increases, resulting in a decrease in the net force on the object. According to Newton's second law of motion, the net force is directly proportional to the acceleration of the object. Therefore, as the net force decreases, the object's acceleration also decreases. This means that the object's acceleration decreases with increasing velocity while falling in a fluid.

However, this relationship is not linear and can vary depending on the specific conditions of the fluid and the object. For example, in a highly viscous fluid, the drag force may increase at a faster rate with increasing velocity, resulting in a more significant decrease in acceleration. On the other hand, in a less dense fluid, the drag force may have a smaller effect on the object's acceleration, resulting in a less steep decrease in acceleration with increasing velocity.

In summary, the acceleration of an object in a fluid varies with its velocity and is influenced by factors such as the fluid's properties and the object's characteristics. Further research and experimentation are needed to fully understand and accurately predict the relationship between acceleration and velocity in this scenario.