1) A liquid (???? = 1

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1) A liquid (???? = 1.65 g/cm³) flows through a horizontal pipe of varying cross-section as in the figure below. In the first section, the cross-sectional area is 10.0 cm², the flow speed is 251 cm/s, and the pressure is 1.20  10⁵ Pa. In the second section, the cross-sectional area is 4.00 cm². 

 

The flow within a horizontal tube is depicted by five lines. The tube extends from left to right, with the left end wider than the right end. The five lines start at the left end, go horizontally to the right, curve slightly toward the center of the tube such that all five lines come closer together, and again go horizontally to the right to exit at the right end. Arrows on the lines point to the right to represent the direction of flow.

 

(a) Calculate the smaller section's flow speed. (Enter your answer to at least two decimal places.)
 

(b) Calculate the smaller section's pressure.

 

2. Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.70 ? 10⁵ Pa and the pipe radius is 2.90 cm. At the higher point located at  y = 2.50 m,  the pressure is 1.25 ? 10⁵ Pa and the pipe radius is 1.70 cm.

 

A pipe is open at both its left and right ends. The pipe starts at the left end, extends horizontally to the right, curves up and to the right, and extends horizontally to the right again. The right end is higher than its left end, and the change in height is labeled y. The diameter at the right end is smaller than the diameter at the left end. The pressure at the left end is labeled P₁, and the pressure at the right end is labeled P₂.

 

(a) Find the speed of flow in the lower section.
 m/s

(b) Find the speed of flow in the upper section.
 m/s

(c) Find the volume flow rate through the pipe.
 m³/s