7.2.1. Recap of Fluid Mechanics Principles

Try these first

1. 1.

   What happens to the velocity of a fluid at rest?

   Hint

   Think about the definition of rest.

2. 2.

   What principle states that pressure is transmitted equally in all directions in a fluid at rest?

   Hint

   Recall what we discussed about Pascal.

3. 3.

   What is the velocity of a fluid at rest?

   • Zero
   • One
   • Varies

   Hint

   Recall our definition of fluids at rest.

4. 4.

   True or False: Pascal's Law indicates pressure is transmitted unequally in different directions.

   • True
   • False

   Hint

   Think about how pressure behaves in a fluid.

5. 5.

   A dam holds water at a height of 20 m. Calculate the pressure at the base of the dam. Use ρ (density of water) = 1000 kg/m³ and g = 9.81 m/s².

   Hint

   Apply the hydrostatic pressure formula.

6. 6.

   Suppose you know the pressure at a depth of 10m in a tank of oil. How would you use Taylor series to estimate pressure at a depth of 12m?

   Hint

   Remember to focus on first-order terms!