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Calculating Surface Area Under Pressure!

Calculating Surface Area Under Pressure!. By: Ryan Pedrigi Resident Scientist/Mathematician. What is Pressure?. Pressure: The application of a force over a surface Remember: Force is a push or a pull

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Calculating Surface Area Under Pressure!

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  1. Calculating Surface Area Under Pressure! By: Ryan Pedrigi Resident Scientist/Mathematician

  2. What is Pressure? • Pressure: • The application of a force over a surface • Remember: Force is a push or a pull • The ratio (or relationship) between the amount of force applied (distributed) and the surface area that the force is applied over, for a given object.

  3. Pressure Examples: Balloon

  4. Pressure Applications: Bike Pump

  5. Pump: Moves fluid by creating a pressure difference between the inlet (pump) and outlet Pressure Applications: Heart

  6. Pressure Examples: Water Press.

  7. Mathematical Expression • Pressure Mathematically: • For P – pressure, F – force, A – surface area… • Units: Most common are… • English: pounds/inches2 (psi) • SI: Newtons/meter2 (pascal - Pa)

  8. Example Problem 1: Submarine • The deepest part of the ocean is about 32,000 feet deep, at which the pressure is about 16,000 psi. What is the total force acting on a submarine with a surface area of 8,000,000 in2 (Remember P=F/A)?

  9. Example Problem 2: Balloon • The rupture pressure in a balloon is 0.25 psi. If the radius of the spherical balloon right before rupture is 6 inches, what is the force acting on the inner wall of the balloon (Surface area of a sphere, As = 4*pi*radius2)?

  10. Nail Problem • Question: Why is it much easier to hammer the tip of a nail into wood versus the head? • Assume that the hammer exerts a force of 200 pounds on the nail, and calculate the pressure exerted on the wood by the nail for the case… • When hammering the tip of the nail into the wood • When hammering the head of the nail into wood

  11. Submarine Problem • Pretend that the 3D object given to your group is a submarine. Calculate the force acting over the entire surface area of your submarine if the dive depth is 1000 feet, which corresponds to a water pressure of 445 psi.

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