Water is traveling through a horizontal pipe with a speed of 1.7 m/s and at a pressure of 205 kPa. This pipe is reduced to a new pipe which has a diameter half that of the first section of pipe. Determine the speed and pressure of the water in the new, reduced in size pipe.

The velocity is  

The pressure is  

Explanation:

From the question we are told that

 The speed at which water is travelling through is  

  The pressure is  

   The diameter of the new pipe is

Where D is the diameter of first pipe

According to the principal of continuity we have that

Now   is the area of the first pipe which is mathematically represented as

and   is the area of the second pipe which is mathematically represented as  

Recall  

So    

substituting value

According to Bernoulli's equation  we have that

substituting values