5.5.1 Pressure in a Fluid

• In a fluid, pressure is exerted perpendicular to a unit area
• Match the quantity with its correct unit:

  Pressure ↔️ Pascal (Pa)

  Force ↔️ Newton (N)

  Area ↔️ Square meters (m²)
• Pressure in a fluid increases linearly with depth
• Why does pressure increase as you go deeper in a fluid?

  More fluid exerts force
• The variable 'g' in the pressure formula represents the acceleration due to gravity, approximately 9.8 m/s².

  True
• Match the pressure unit with its equivalence in Pascals:

  Atmosphere ↔️ 101,325 Pa

  Pounds per square inch ↔️ 6,894.76 Pa

  Pascal ↔️ 1 N/m²
• Buoyancy is caused by the upward force exerted on an object due to pressure differences at the top and bottom
• How does atmospheric pressure help a drinking straw work?

  Creates pressure difference
• The formula for pressure is Force divided by area.
• What is the SI unit for pressure?

  Pascal
• The unit for area is square meters.


  True
• Match the quantity with its symbol and unit:

  Pressure ↔️ P, Pascal (Pa)

  Force ↔️ F, Newton (N)

  Area ↔️ A, Square meters (m²)
• Pressure increases linearly with depth in the fluid.
• What is the approximate value of acceleration due to gravity in m/s²?

  9.8 m/s²
• In the formula P = ρgh, \( g \) represents acceleration due to gravity.
• The unit for density is kg/m³.


  True
• One atmosphere is equal to 101,325 Pa.


  True
• Buoyancy is caused by the pressure difference in a fluid.


  True
• Solving pressure calculation problems involves applying the formula P = ρgh.
• Pressure is measured in Pascals.


  True
• What is the definition of pressure in a fluid?

  Force per unit area
• In fluids, pressure is exerted equally in all directions at a given depth.


  True
• What is the pressure if a force of 50 N is applied over an area of 2 m²?

  25 Pa
• Pressure in a fluid is directly proportional to its density.

  True
• The formula for pressure in a fluid is P = ρ g h
• What is the pressure at a depth of 5 meters in water with a density of 1000 kg/m³?

  49,000 Pa
• What is the cause of buoyancy in fluids?

  Pressure difference
• Hydraulic systems use the pressure in a fluid to transmit force and do work.


  True
• What is pressure in a fluid defined as?

  Force per unit area
• In fluids, pressure is exerted in all directions equally at a given depth.


  True
• The unit for force is the Newton.
• What is the pressure if a force of 50 N is applied over an area of 2 m²?

  25 Pa
• What are the main factors that affect pressure in a fluid?

  Depth, density, gravity
• Pressure is directly proportional to the density of the fluid.


  True
• What does the variable \( \rho \) represent in the formula P = ρgh?

  Density
• Calculate the pressure at a depth of 5 meters in water (density 1000 kg/m³).

  49,000 Pa
• What are the common units for measuring pressure?

  Pa, atm, psi
• The SI unit for pressure, the Pascal, is equivalent to 1 N/m².
• Convert 2 atmospheres to Pascals.

  202,650 Pa
• In which system is fluid pressure used to transmit force?

  Hydraulic systems