7.6.1. Mathematical Formulation of Pascal’s Law

Try these first

1. 1.

   What is Pascal's Law?

   Hint

   Think about how pressure behaves in a closed container.

2. 2.

   How does pressure change with depth in a fluid?

   Hint

   Consider why your ears pop at deeper water levels.

3. 3.

   What does Pascal's Law state?

   • Pressure increases with temperature.
   • Pressure changes in a fluid are transmitted equally in all directions.
   • Pressure decreases with depth.

   Hint

   Think about how pressure acts in a closed pipe.

4. 4.

   True or False: Pressure at greater depths in fluids decreases.

   • True
   • False

   Hint

   Remember the water pressure felt underwater.

5. 5.

   A deep-water well has a depth of 50 m. Calculate the pressure at the bottom of the well (ρ = 1000 kg/m³, g = 9.81 m/s²).

   Hint

   Remember to use the density of water and the gravitational acceleration.

6. 6.

   Explain how Pascal's Law applies in designing a hydraulic brake system in vehicles.

   Hint

   Consider how your foot does not have to exert a huge force to stop the vehicle.