If a water pipe is squeezed at one end, the water jet goes farther away to keep the water flow rate constant according to the equation of continuity.
- The equation of continuity states that A*v = constant, where v is the velocity of a flowing fluid and A is its cross-sectional area.
- It indicates that if any liquid is flowing in streamline flow through a pipe with irregular cross sections, the rate of flow of that liquid across any cross section will remain consistent.
- This equation is also termed “Conservation of mass of incompressible fluids”.
- The pipe's flow rate is continuous throughout. This indicates that the rate of liquid flow is constant and that the velocity will increase if the cross-sectional area decreases and vice versa.
- While moving from the bigger cross-sectional region to the tighter area, the fluid is accelerated. In other words, if area is smaller, velocity will be greater, and vice versa.
- Hence, when a water pipe is squeezed at one end, the cross-sectional area of the pipe decreases, which results in an increase in the velocity of the water jet, and as a result, it goes farther away.
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