9.2.3. Differential Manometers

Try these first

1. 1.

   What is the primary function of a manometer?

   Hint

   Think about how pressure relates to fluid height.

2. 2.

   Define hydrostatic pressure.

   Hint

   Consider what happens when a fluid is not moving.

3. 3.

   What does a differential manometer measure?

   • Absolute pressure
   • Pressure difference
   • Fluid density

   Hint

   Consider what kind of pressure readings are most useful in fluid dynamics.

4. 4.

   True or False: Hydrostatic pressure is the same as atmospheric pressure.

   • True
   • False

   Hint

   Think about how each pressure type relates to fluid dynamics.

5. 5.

   A differential manometer is connected between two pipes A and B. Pipe A has a pressure of 40 kPa, and pipe B has a pressure of 20 kPa. If the manometer fluid is oil with a density of 800 kg/m³, what height difference will you observe on the manometer?

   Hint

   Use the pressure difference and rearrange the equation to solve for height.

6. 6.

   Consider a U-tube manometer with one side filled with water and the other with mercury. If water is at a height of 0.5 m, calculate the equivalent height of mercury at the same pressure difference, given that the density of mercury is 13,600 kg/m³.

   Hint

   Compare the heights using their respective densities.