Understanding Pressure


How much force are you
 exerting on the Earth?
To answer the question, consider the
following formula:                                         Calculating the actual force you
                                                           exert on the ground:
            Pressure = Force/ Density
                                                           Pascal = 1 N/1m2
where Force (F) = Mass (m) x Acceleration (a)
                                                           For example,
with Force expressed in Newtons (N).
                                                           Pascal = 534 N/0.11 m2
where Density = Area in m2                                        = 4,854 N/ m2


Step 1: Finding the Force

a. Multiple your mass (in kg) by 9.8m/s/s (the gravity constant)
b. The answer represents your force in Newton.

Step 2: Finding the Area.

a.   On a sheet of graphing paper, trace an outline of your foot.
b.   Count the number of squares covered by your foot (4 squares = 1 cm2).
c.   Multiple the number of squares by 2 to represent both feet.
d.   To convert to m2 , divide the number by 10,000.
Force and surface area


• Force = Mass (in kg) x gravity (9.8m/s/s)
• Surface area
  – 4 squares = 1 cm2
  – Count how many groups of 4 you have
  – Divide this number by 10,000 to get from cm2 to
    m2
  – Multiply this number by 2 to get SA for both feet
Buildings should be
designed for a
distributed load of
11,500N/m2 and a
point load of 11,400
N/m2


What could possibly happen to the floor if your
calculated “pressure” is greater than the
designed load limit?
If all 1.5 billion people in China
jumped at the same time would
  the earth be thrown out of its
                 orbit?
China has a population of about: 1,330,044,544 (July 2008 est.)
Average weight 86.6kg (based on US figures)

Basically the rough estimate for the weight of all those Chinese people comes out to
around 115,181,857,510.4kg. That's a pretty large amount of weight.

However the weight of the earth is approximately
6,000,000,000,000,000,000,000,000 (6E+24) kilograms; which is a
significant difference. On top of all of that take into account the fact that the ground will
compress absorbing a large portion of the force from the jumping, the total
displacement would be negligible.

It is a cute idea; but even with all of those people nothing much would happen. In fact
even if we got everyone in the world to join in (some 6.7+ billion) that total mass is
still extremely insignificant when compared to the weight of the world and not to
mention trying to overcome the inertia of an object that large!

Source(s):
https://www.cia.gov/library/publications…
http://en.wikipedia.org/wiki/Human_weigh…
http://science.howstuffworks.com/questio…
Understanding pressure
Exploring
Pressure
PRESSURE
• “press” = push on a surface
• Pressure = Force/ surface area

              P= F/ SA
• Unit: pascal (Pa) =1 N/m2
Changing pressure
• Do a push up with whole hands vs. finger-
  tips
  – Which one feels harder?
  – What did we change- force or surface area?
  – Whole foot versus tip-toes


• With backpack
Changing pressure

• Decrease surface area  more pressure
  – Tippy toes
  – Can you think of opposite?


• Increase force more pressure
So Many Units!!!
        http://www.sensorsone.co.uk/pressure-units-conversion.html


            UNITS                                EXAMPLES
PSI (pounds per square inch)           Pumps for balls, tires

mmHg (Millimeter of Mercury)           Blood pressure, the weather

Bar and Atm (atmosphere)               Scuba diving

Surface (1 atm)                        101,000 Pa

10 meters below (2 atm)                202,000 Pa

Tires 32 psi                           220, 500 Pa
Air Pressure
• Why is air pressure hard to
  notice?

• When are times we do notice air
  pressure?
Activity 1:     Activity 2:

Observations:   Observations:



Explanation:    Explanation:


Activity 3:     Activity 4:

Observations:   Observations:



Explanation:    Explanation:
Evidence for Air Pressure

• Properties of Air

  1. Cup and paper towel demo

     • Predict- what will happen to the paper towel
       when you submerge the cup in water?

     • Why is the paper towel able to stay dry?
Evidence for Air Pressure


Air takes up space
 (has volume)
Evidence for Air Pressure
• Properties of Air
  2. Empty vs. full balloon

    • Predict how the full balloon’s mass will
      compare to the empty balloon
Evidence for Air Pressure
• Properties of Air
  Empty vs. full balloon
    • Full balloon is heavier

             Air has mass

    •1 m3 of air = 1 kg

    •In palm, weight of air = force of washing
    machine (why don’t we feel it?)
Movement of Air Pressure

3. Syringes

  –Describe the movement of air
   pressure

  –How strong is air pressure?
Evidence for Air Pressure
• Properties of Air
     4. Balloon lift demo
         • Air can exert pressure
     – See how much you can lift

• Can you think of other ways to demonstrate
  that air takes up space and exerts pressure?
•   http://www.youtube.com/watch?v=08ezkSrQ5lc&feature=related
Air Pressure
• Air Pressure is a
 measure of the force of
 the air pressing on any
 surface

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Understanding pressure

  • 1. Understanding Pressure How much force are you exerting on the Earth?
  • 2. To answer the question, consider the following formula: Calculating the actual force you exert on the ground: Pressure = Force/ Density Pascal = 1 N/1m2 where Force (F) = Mass (m) x Acceleration (a) For example, with Force expressed in Newtons (N). Pascal = 534 N/0.11 m2 where Density = Area in m2 = 4,854 N/ m2 Step 1: Finding the Force a. Multiple your mass (in kg) by 9.8m/s/s (the gravity constant) b. The answer represents your force in Newton. Step 2: Finding the Area. a. On a sheet of graphing paper, trace an outline of your foot. b. Count the number of squares covered by your foot (4 squares = 1 cm2). c. Multiple the number of squares by 2 to represent both feet. d. To convert to m2 , divide the number by 10,000.
  • 3. Force and surface area • Force = Mass (in kg) x gravity (9.8m/s/s) • Surface area – 4 squares = 1 cm2 – Count how many groups of 4 you have – Divide this number by 10,000 to get from cm2 to m2 – Multiply this number by 2 to get SA for both feet
  • 4. Buildings should be designed for a distributed load of 11,500N/m2 and a point load of 11,400 N/m2 What could possibly happen to the floor if your calculated “pressure” is greater than the designed load limit?
  • 5. If all 1.5 billion people in China jumped at the same time would the earth be thrown out of its orbit?
  • 6. China has a population of about: 1,330,044,544 (July 2008 est.) Average weight 86.6kg (based on US figures) Basically the rough estimate for the weight of all those Chinese people comes out to around 115,181,857,510.4kg. That's a pretty large amount of weight. However the weight of the earth is approximately 6,000,000,000,000,000,000,000,000 (6E+24) kilograms; which is a significant difference. On top of all of that take into account the fact that the ground will compress absorbing a large portion of the force from the jumping, the total displacement would be negligible. It is a cute idea; but even with all of those people nothing much would happen. In fact even if we got everyone in the world to join in (some 6.7+ billion) that total mass is still extremely insignificant when compared to the weight of the world and not to mention trying to overcome the inertia of an object that large! Source(s): https://www.cia.gov/library/publications… http://en.wikipedia.org/wiki/Human_weigh… http://science.howstuffworks.com/questio…
  • 9. PRESSURE • “press” = push on a surface • Pressure = Force/ surface area P= F/ SA • Unit: pascal (Pa) =1 N/m2
  • 10. Changing pressure • Do a push up with whole hands vs. finger- tips – Which one feels harder? – What did we change- force or surface area? – Whole foot versus tip-toes • With backpack
  • 11. Changing pressure • Decrease surface area  more pressure – Tippy toes – Can you think of opposite? • Increase force more pressure
  • 12. So Many Units!!! http://www.sensorsone.co.uk/pressure-units-conversion.html UNITS EXAMPLES PSI (pounds per square inch) Pumps for balls, tires mmHg (Millimeter of Mercury) Blood pressure, the weather Bar and Atm (atmosphere) Scuba diving Surface (1 atm) 101,000 Pa 10 meters below (2 atm) 202,000 Pa Tires 32 psi 220, 500 Pa
  • 13. Air Pressure • Why is air pressure hard to notice? • When are times we do notice air pressure?
  • 14. Activity 1: Activity 2: Observations: Observations: Explanation: Explanation: Activity 3: Activity 4: Observations: Observations: Explanation: Explanation:
  • 15. Evidence for Air Pressure • Properties of Air 1. Cup and paper towel demo • Predict- what will happen to the paper towel when you submerge the cup in water? • Why is the paper towel able to stay dry?
  • 16. Evidence for Air Pressure Air takes up space (has volume)
  • 17. Evidence for Air Pressure • Properties of Air 2. Empty vs. full balloon • Predict how the full balloon’s mass will compare to the empty balloon
  • 18. Evidence for Air Pressure • Properties of Air Empty vs. full balloon • Full balloon is heavier Air has mass •1 m3 of air = 1 kg •In palm, weight of air = force of washing machine (why don’t we feel it?)
  • 19. Movement of Air Pressure 3. Syringes –Describe the movement of air pressure –How strong is air pressure?
  • 20. Evidence for Air Pressure • Properties of Air 4. Balloon lift demo • Air can exert pressure – See how much you can lift • Can you think of other ways to demonstrate that air takes up space and exerts pressure? • http://www.youtube.com/watch?v=08ezkSrQ5lc&feature=related
  • 21. Air Pressure • Air Pressure is a measure of the force of the air pressing on any surface