In an adjustable nozzle for a garden hose, a cylindricalplug is aligned along th

Question

In an adjustable nozzle for a garden hose, a cylindricalplug is aligned along the axis of the hose and can be inserted intothe hose opening. The purpose of the plug is to change the speed ofthe water leaving the hose. The speed of the water passing aroundthe plug is to be 3.40 times as large as the speed of the waterbefore it encounters the plug. Find the ratio of the plug radius tothe inside hose radius. Any help is appreciated thanks. In an adjustable nozzle for a garden hose, a cylindricalplug is aligned along the axis of the hose and can be inserted intothe hose opening. The purpose of the plug is to change the speed ofthe water leaving the hose. The speed of the water passing aroundthe plug is to be 3.40 times as large as the speed of the waterbefore it encounters the plug. Find the ratio of the plug radius tothe inside hose radius. Any help is appreciated thanks.

Explanation / Answer

In an adjustable nozzle for a garden hose, a cylindrical plugis aligned along the axis of the hose and can be inserted into thehose opening. The purpose of the plug is to change the speed of thewater leaving the hose. The speed of the water passing around theplug is to be 3.40 times as large as the speed of the water beforeit encounters the plug. Find the ratio of the plug radius to theinside hose radius. Any help is appreciated thanks.
according to equation of continuity
A1v1=A2v2
v2/v1=3.4
A1/A2=r1/r2=3.4=1.8439
as per the problem
r2/r1=1/1.8439=0.5423

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