Fluid Dynamics: Pressure, Velocity & Pipe Radius

[morgs30]

1.Water flows in a horizontal pipe with variable radius and which produces no drag. At one point in the pipe where the radius is 5.0cm, the flow is noted as .75 m/s at a pressure of 250 N/m^2. a) What is the velocity at a point in the pipe where the pressure is 200 N/m^2? b) What is the radius of the pipe at this point?

Homework Equations

The Attempt at a Solution

 

[Je m'appelle]

Water flows in a horizontal pipe with variable radius and which produces no drag. At one point in the pipe where the radius is 5.0cm, the flow is noted as .75 m/s at a pressure of 250 N/m^2. a) What is the velocity at a point in the pipe where the pressure is 200 N/m^2? b) What is the radius of the pipe at this point?

Bernoulli's for an incompressible fluid:

$$P_1 + \frac{v^2_1}{2} = P_2 + \frac{v^2_2}{2}$$

$$A_1 v_1 = A_2 v_2$$

You can take over from here.