Water flows at 0.00027 m3/s through a 10-m long garden hose lying on the ground, with a radius of 0.01 m. Water has a viscosity of 1 mPa. s What is the magnitude of gauge pressure in Pa of the water entering the hose

The gauge pressure is  

Explanation:

From the question we are told that

    The rate of flow is  

      The height is h  =  10 m

      The radius is  r =  0.01 m

     The  viscosity is  

Generally the gauge pressure according to Poiseuille's equation  is mathematically represented as  

Here v is the velocity of the water which is mathematically represented according to continuity equation as

Where A is the cross-sectional area which is mathematically represented as

substituting values

So

So