Explanation for hydrodynamic problem

[Mohamed Essam]

Homework Statement

See the photo of the problem in the attachment

Homework Equations

Bernoulli equation and continuity equation

The Attempt at a Solution

I don't know from where to begin , i only can get the velocity of fluid when it reaches the hole

 

[haruspex]

You must have been taught something on the topic. Any standard equations relating to fluid flow?

 

[Mohamed Essam]

You must have been taught something on the topic. Any standard equations relating to fluid flow?

Yeah , bernoulli equation and continuity equation.

 

[haruspex]

Yeah , bernoulli equation and continuity equation.

You should have listed those under Relevant Equations in the template.
So try applying Bernoulli's. What do you get?

 

[Mohamed Essam]

You should have listed those under Relevant Equations in the template.
So try applying Bernoulli's. What do you get?

Only the velocity of fluid at the hole , i don't know what to do i don't know any other information of how to get the distance x that the fluid will cover

 

[haruspex]

Only the velocity of fluid at the hole , i don't know what to do i don't know any other information of how to get the distance x that the fluid will cover

That's a good start. (Next time, please show how far you got in your initial post, otherwise you risk having your post deleted.)
If you throw an object horizontally at a known speed and known height, can you figure out where it will land?

 

[Mohamed Essam]

That's a good start. (Next time, please show how far you got in your initial post, otherwise you risk having your post deleted.)
If you throw an object horizontally at a known speed and known height, can you figure out where it will land?

I think it's by laws of motion !

 

[haruspex]

I think it's by laws of motion !

Yes, specifically, motion under constant acceleration. What equations do you know for that?

 

[Mohamed Essam]

Yes, specifically, motion under constant acceleration. What equations do you know for that?

D=Vot+1/2at^2

 

[haruspex]

D=Vot+1/2at^2

Right. How can you apply that here?

 

[Mohamed Essam]

Right. How can you apply that here?

That the problem I've faced , i don't know how to apply it here

 

[haruspex]

That the problem I've faced , i don't know how to apply it here

What facts do you know in this problem regarding speeds, time, distances and accelerations?

 

[Mohamed Essam]

What facts do you know in this problem regarding speeds, time, distances and accelerations?

I only know the distance from the hole to ground y is 30 cm and the velocity of fluid when it reaches the hole , i only don't know the time when it reaches ground and the acceleration of fluid .

 

[haruspex]

I only know the distance from the hole to ground y is 30 cm and the velocity of fluid when it reaches the hole , i only don't know the time when it reaches ground and the acceleration of fluid .

What is causing it to accelerate, once it has left the tank?

 

[Mohamed Essam]

What is causing it to accelerate, once it has left the tank?

Only gravity i think

 

[haruspex]

Only gravity i think

Right, so you know the vertical and horizontal (0) accelerations.
Apply your equation for both directions.

 

[Mohamed Essam]

Right, so you know the vertical and horizontal (0) accelerations.
Apply your equation for both directions.

So i can get the time from the y-direction equation and put it in the x-direction equation so i can get the distance x , is that right ?!

 

[haruspex]

So i can get the time from the y-direction equation and put it in the x-direction equation so i can get the distance x , is that right ?!

Right!

 

[Mohamed Essam]

Right!

But why you assumed that the horizontal acceleration = 0 , if i didn't know that it equals 0 i can't solve it , so i need to understand why it equals 0

 

[haruspex]

But why you assumed that the horizontal acceleration = 0 , if i didn't know that it equals 0 i can't solve it , so i need to understand why it equals 0

What force is there to accelerate it horizontally?