Problem: Water flows from the pipe shown in the figure with a speed of 8.0 m/s. (Figure 1)What is the height h of the standing column of water? Express your answer to two significant figures and include the appropriate units.

FREE Expert Solution

Continuity equation:

Av=constant

Bernoulli’s equation:

P1+12ρv12+ρgy1=P2+12ρv22+ρgy2

We'll use 1 to identify the inlet and 2 to identify the outlet.

A1 = 10 cm2 

A2 = 5 cm2

v2 = 8.0 m/s

A1v1 = A2v2

v1 = (A2v2)/A1 = (5 ×  8.0)/10 = 4.0 m/s

Using the inlet as the reference point:

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Problem Details

Water flows from the pipe shown in the figure with a speed of 8.0 m/s. (Figure 1)

What is the height h of the standing column of water? Express your answer to two significant figures and include the appropriate units.