A horizontal pipe carries water through two circular sections whose diameters are and

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A horizontal pipe carries water through two circular sections whose diameters are

d_1

and

d_2

. The speed of water in the first section is

v_1

. (i) Derive an expression for the ratio

\dfrac{v_2}{v_1}

in terms of

d_1

and

d_2

, where

v_2

is the speed in the second section. (ii) Water enters a

7.5\,\text{cm}

diameter section at

1.2\,\text{m\,s}^{-1}

and exits through a

3.0\,\text{cm}

diameter nozzle. Using your result from part (i), calculate the exit speed. (iii) If the flow in part (ii) continues for

6\,\text{min}

, determine the mass of water delivered. Take the density of water to be

1000\,\text{kg\,m}^{-3}