In steady state flow, which this is, the product of velocity and cross sectional area is a constant that is equal to the volume flow rate.
If the cross sectional is reduced to 1/4 the former value, the flow velocity must increase by a factor of 4.
A*V = constant is called the "continuity equation"
A stream moving with a speed of 0.5 m/s reaches a point where the cross-sectional area of the stream decreases to one-fourth of the original area. What is the water speed in this narrowed portion of the stream?
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