5. Simple Cases of Bernoulli's equation

Try these first

1. 1.

   What are the main components of Bernoulli's equation?

   Hint

   Recall the terms involved in energy conservation.

2. 2.

   What assumptions do we make when using Bernoulli's equation?

   Hint

   Think about the characteristics of ideal fluid flow.

3. 3.

   What does Bernoulli's equation relate?

   • Pressure
   • energy
   • and velocity
   • Velocity and viscosity
   • Temperature and pressure

   Hint

   Think of energy conservation in moving fluids.

4. 4.

   True or False: Bernoulli's equation can be applied across different streamlines.

   • True
   • False

   Hint

   Recall the assumptions made when deriving Bernoulli’s principle.

5. 5.

   A tank has a height of 10 m. If a hole is made at a height of 5 m on the tank wall, calculate the jet velocity using Bernoulli's equation.

   Hint

   Use the potential energy to find the velocity as it exits the tank.

6. 6.

   In a horizontal pipe, point 1 has a diameter of 10 cm and pressure of 500 kPa; point 2 has a diameter of 5 cm. Calculate the velocity at point 2.

   Hint

   Recall that velocity increases when the cross-section decreases.