5.5.1 Pressure in a Fluid

• Pressure is defined as the force per unit area
• Pressure in a fluid is calculated using the formula $P =$$\frac{F}{A}$
• Match the variables in the pressure formula with their definitions:

  $P$ ↔️ Pressure

  $F$ ↔️ Force exerted

  $A$ ↔️ Area
• Explain the relationship between depth and pressure in a fluid:

  1️⃣ The weight of the fluid above increases with depth.

  2️⃣ This increased weight exerts a greater force.

  3️⃣ Pressure increases with depth as a result.
• Fluids exert pressure in all directions.
• What is atmospheric pressure in Pascals?

  101325 Pa
• If a force of 10 N is applied over an area of 2 m^2, the pressure is 5 Pa.
• The formula $P =$$hρg$ is used to calculate pressure in a fluid.
• Match the variables in the formula $P =$$hρg$ with their definitions:


  $P$ ↔️ Pressure

  $h$ ↔️ Depth

  $ρ$ ↔️ Density

  $g$ ↔️ Gravity
• Pressure is defined as the force per unit area
• What is the pressure in Pascals if a force of 10 N is applied over an area of 2 m^2?

  5 Pa
• The formula for calculating pressure is $P =$$\frac{F}{A}$
• The pressure in a fluid depends on depth, density, and acceleration due to gravity
• Match the factors affecting pressure with their symbols and descriptions:

  Depth ↔️ $h$, The distance from the surface of the fluid

  Density ↔️ $ρ$, The mass per unit volume of the fluid

  Gravity ↔️ $g$, The force of gravity
• Higher density of a fluid results in higher pressure.
• What are the three factors that affect pressure in a fluid?

  Depth, density, and gravity
• Higher density in a fluid leads to higher pressure
• How does gravity affect pressure in a fluid?

  Due to weight of fluid
• For a fluid with a density of 1000 kg/m³ at a depth of 5 m, the pressure is 49000 Pa
• Pressure within a fluid increases with depth.
• What is the definition of pressure in a fluid?

  Force exerted per unit area
• If a force of 50 N is applied over an area of 2 m², what is the pressure in Pascals?

  25 Pa
• In seawater with a density of 1025 kg/m³, the pressure at a depth of 10 m is 100552.5 Pa.
• Arrange the factors affecting pressure in a fluid in order of their effect.

  1️⃣ Depth

  2️⃣ Density

  3️⃣ Gravity
• What is the pressure at a depth of 5 m in seawater with a density of 1025 kg/m³?

  50245 Pa
• Pressure in a fluid is uniform at all depths.

  False
• Match the depth with the corresponding pressure in a fluid with a density of 1000 kg/m³.

  1 m ↔️ 9810 Pa

  5 m ↔️ 49050 Pa

  10 m ↔️ 98100 Pa
• Why does pressure in a fluid increase with depth?

  Weight of fluid above
• Pressure in a fluid increases with depth
• What is the formula to calculate pressure at a specific depth in a fluid?

  $P =$$hρg$
• $h$ in the formula P = hρg</latex> represents depth.
• Match the variable in the formula $P =$$hρg$ with its meaning:


  $P$ ↔️ Pressure

  $h$ ↔️ Depth

  $ρ$ ↔️ Density of fluid

  $g$ ↔️ Acceleration due to gravity
• What is the value of $g$ in the formula $P =$$hρg$?


  $9.81 m / s^{2}$
• In the formula $P =$$hρg$, $ρ$ represents the density of the fluid.
• What happens to the pressure in a fluid as the depth increases?

  Increases
• In the formula $P =$$hρg$, $ρ$ is measured in units of $kg / m^{3}$
• The density of a fluid is constant at all depths.
• If $h =$$5 m$, $ρ =$$1000 kg / m^{3}$, and $g =$$9.81 m / s^{2}$, what is the pressure $P$?


  $49050 Pa$
• $h$ in the pressure formula represents depth
• $ρ$ in the pressure formula represents the density of the fluid.