5.5.1 Pressure in a Fluid

• What is the definition of pressure?

  Force per unit area
• 1 Pascal is equal to 1 N/m^2.


  True
• In fluids, pressure increases with depth and fluid density.


  True
• Pressure is directly proportional to force
• What is the unit of pressure called?

  Pascal
• How many Pascals are in 1 bar?

  100,000
• Match the unit of pressure with its equivalent in Pascals:

  Pascal (Pa) ↔️ 1 N/m^2

  Bar ↔️ 100,000 Pa

  Pounds per square inch (psi) ↔️ 6,895 Pa
• If a force of 500 N is applied over an area of 10 m², what is the pressure?

  50 Pa
• The Pascal is defined as 1 Newton of force per 1 square meter
• What is the approximate equivalent of 1 psi in Pascals?

  6,895 Pa
• If a force of 500 N is applied over an area of 10 m², what is the pressure in Pascals?

  50 Pa
• As depth increases in a fluid, pressure increases due to the weight of the fluid above.
• The pressure at a depth of 5 meters in water with a density of 1000 kg/m³ is 49,000 Pa.


  True
• In the formula P = ρgh, the variable ρ represents the fluid's density in kg/m³.
• What is the definition of pressure?

  Force per unit area
• Pressure is directly proportional to force and inversely proportional to area.

  True
• The Pascal is defined as 1 Newton of force per 1 square meter of area.


  True
• Two key factors affecting pressure in fluids are depth and fluid density
• Pressure in a fluid decreases as you go deeper.

  False
• What is the effect of increasing fluid density on pressure at the same depth?

  Pressure increases
• Match the factor with its effect on pressure:

  Depth ↔️ Increases with depth

  Fluid Density ↔️ Increases with density
• If the density of water is 1000 kg/m³, the depth is 5 meters, and g is 9.8 m/s², the pressure is 49,000 Pa
• Pressure in a fluid decreases with depth according to the formula P = ρgh.

  False
• What is the approximate value of g (acceleration due to gravity) in the formula P = ρgh?

  9.8 m/s²
• As fluid density increases, pressure in a fluid increases
• If a fluid exerts a pressure of 100 Pa at a certain depth, what is the pressure on any surface at that depth regardless of its orientation?

  100 Pa
• Pressure is measured in Pascals
• In solids, pressure is applied perpendicular to the surface
• What is the formula for pressure?

  P = F/A
• Pressure is inversely proportional to area.


  True
• 1 Pascal is equal to 1 Newton per square meter
• 1 bar is equal to 100,000 Pascals.


  True
• What is the primary unit of pressure?

  Pascal (Pa)
• 1 bar is equal to 100,000 Pa.


  True
• 1 millimeter of mercury is approximately equal to 133 Pascals.
• Depth and fluid density are the two primary factors affecting pressure in fluids.

  True
• Which type of fluid exerts more pressure at the same depth: a denser fluid or a less dense fluid?

  Denser fluid
• What is the formula for calculating pressure at a specific depth in a fluid?

  $P =$$ρgh$
• The pressure at 10 meters below the surface of water is 98,000 Pa.


  True
• In fluids, pressure depends on depth and fluid density.