Question
In: Physics
Assume that you have 0.5 lbs. of water in the cup. How many pounds per square...
- 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?
- Which is pushing harder, the water pushing down or the air pushing up in a glass cup?
- Why do the water and the index card not fall down?
- 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.)?
- 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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