A straight nozzle attached to a fire hose reduces its inside diameter uniformly from…

PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

A straight nozzle attached to a fire hose reduces its inside diameter uniformly from

7.5\,\text{cm}

at the hose end to

3.0\,\text{cm}

at the tip over a length of

40\,\text{cm}

. Water is discharged steadily at the rate of

0.015\,\text{m}^{3}\,\text{s}^{-1}

. Calculate: (i) the speed of water at the hose–nozzle junction (ii) the speed of water at the nozzle tip (iii) the average rate of change of speed per centimetre along the nozzle

Related theory

Fluid Dynamics
Fluids
Fluid flow and Bernoulli's theorem
Streamline flow
Mechanical Properties of Fluids

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