Question

In: Physics

Assume that you have 0.5 lbs. of water in the cup. How many pounds per square...

  1. Assume that you have 0.5 lbs. of water in the cup. How many pounds per square inch are pushing down on the 3" x 5" card due to the water?
  2. Which is pushing harder, the water pushing down or the air pushing up in a glass cup?
  3. Why do the water and the index card not fall down?
  4. How many pounds of water could theoretically be held up with a card that is the size of a sheet of paper (8.5 x 11 in.)?
  5. How does the psi of air pressure compare to the pressure you have in your car tires or in bicycle tires (or in another type of tire around your house)?

Solutions

Expert Solution

We have,
Mass of the water
Gravitational acceleration

The weight of the water on the card is

The area of the card is

The pressure is given as:

The air pressure or atmospheric pressure at ground is .

By comparing atmospheric pressure and the pressure of water on the card , since the atmospheric pressure is larger than water pressure on the card, we can say the air pushing harder the water than water pushing on the card.

Water and index of card do not fall down because they are supported by the normal force according to Newton's third law. When objects are in static equilibrium, they do not experience motion (or acceleration) by the force or pressure.

The area of the card is

he pressure is given as:

Therefore, theoretically pressure be held up with a card of (8.5 x 11 in.).

The pressure in the car tire is typically around

The percentage difference between air pressure and pressure in the car tire is calculated as:

Therefore, pressure is higher in car tire than air pressure.


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