Final answer:
The speed of an incompressible fluid through a constriction, such as a Venturi tube, increases by a factor equal to the square of the factor by which the diameter decreases. The flow rate through a Venturi meter can be determined using the equation Q = A * v, where Q is the flow rate, A is the cross-sectional area, and v is the velocity of the fluid. By plugging in the values, you can calculate the flow rate through the Venturi meter.
Step-by-step explanation:
According to Bernoulli's principle, the speed of an incompressible fluid through a constriction, such as in a Venturi tube, increases by a factor equal to the square of the factor by which the diameter decreases. This means that as the diameter of the constriction decreases, the speed of the fluid flowing through it increases.
To determine the flow rate through a Venturi meter, you can use the equation:
Q = A * v
Where Q is the flow rate, A is the cross-sectional area of the constriction, and v is the velocity of the fluid through the constriction.
For example, if you have a Venturi meter with a diameter of 2 cm and a fluid velocity of 4 m/s, you can calculate the flow rate as follows:
A = π * (d/2)^2 = π * (2 cm / 2)^2 = π cm²
Q = A * v = π cm² * 4 m/s = 4π cm³/s
Therefore, the flow rate through the Venturi meter in this example is 4π cm³/s.