# Problem regarding pressure?

1. Oct 5, 2012

### phy1210

Pressure is defined as the force acting per unit area.

If we take a hydraulic system of a car, the pressure that will be acting on both piston will be the same. If we apply a small force on the pedal, it will result in a bigger force on the brakes.

Here is a multiple choice question that is troubling me:
There are 2 identical stone tiles. One is vertical (Small surface area acting on the ground) and the other is horizontal (Large surface area acting on the ground).

Through the above definition, I would say the pressure is the same while the forces are different. But the answer was that the pressure was different and the forces are the same. Could you explain the answer?

Thanks in advance!

2. Oct 5, 2012

### tiny-tim

welcome to pf!

hi phy1210! welcome to pf!
hint: what are the forces on each of the tiles?

3. Oct 5, 2012

### phy1210

Thanks tiny-tim!

I forgot to mention that they are identical tiles. We can deduce that they have the same forces. But how can the pressure be different then?

They have the same pressure acting per unit area, isn't?

Last edited: Oct 5, 2012
4. Oct 5, 2012

### tiny-tim

yes: the forces are the weights, so they are the same
physics is equations

so what is the equation for pressure?

5. Oct 5, 2012

### phy1210

Pressure=Force/Area

If the force is the same and area is smaller, the pressure will be higher and vice versa.

I understand this part!

Lets take a water bottle. Pressure on the wall of the bottle and on the cap is the same despite different surface areas???

6. Oct 5, 2012

### tiny-tim

pressure (+ ρgh) is the same everywhere in a stationary liquid

7. Oct 5, 2012

### phy1210

Pfff... I am not being able to convey what I don't understand!!!

If there was no water in the bottle. Air molecules would collide at the same rate everywhere inside the bottle.

If we take the cap:
Area is small
Force is the same
Hence, Pressure is high

If we take the base of the bottle:
Area is bigger
Force is the same
Hence, Pressure is low

But as pressure is defines as force per unit area

These 2 regions will have the same force per unit area and hence they will have the same pressure.

8. Oct 5, 2012

### Staff: Mentor

Think about the sail of a sailboat. The pressure on the sail comes from air molecules hitting the sail, just as the pressure in the bottle comes from air molecules hitting the inside of the bottle. The pressure is the same (the air molecules are hitting just as hard) on a big sail as a little sail, but a big sail generates more force and can drive a bigger boat.

So it should be:

9. Oct 5, 2012

### phy1210

I think I got it now.

Thanks for your help, tiny-tim and nugatory.

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