Question

A liquid of density 1270 kg/m³ flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.67 m/s and the pipe diameter d? is 11.7 cm. At Location 2, the pipe diameter d? is 15.5 cm. At Location 1, the pipe is ?y = 8.83 m higher than it is at Location 2. Ignoring viscosity, calculate the difference ?P between the fluid pressure at Location 2 and the fluid pressure at Location 1. ?P = 1.36 × 10? Pa

          A liquid of density 1270 kg/m³ flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.67 m/s and the pipe diameter d? is 11.7 cm. At Location 2, the pipe diameter d? is 15.5 cm. At Location 1, the pipe is ?y = 8.83 m higher than it is at Location 2. Ignoring viscosity, calculate the difference ?P between the fluid pressure at Location 2 and the fluid pressure at Location 1.

?P = 1.36 × 10? Pa

A liquid of density 1270 kg/m³ flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.67 m/s and the pipe diameter d? is 11.7 cm. At Location 2, the pipe diameter d? is 15.5 cm. At Location 1, the pipe is ?y = 8.83 m higher than it is at Location 2. Ignoring viscosity, calculate the difference ?P between the fluid pressure at Location 2 and the fluid pressure at Location 1.

?P = 1.36 × 10? Pa

Added by Jason G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

08/16/2023

Step 1

67 m/s d1 = 11.7 cm = 0.117 m d2 = 15.5 cm = 0.155 m Using the continuity equation: v1 / 2 = v2 / 2 v2 = v1 * (d1 / d2)^2 v2 = 9.67 * (0.117 / 0.155)^2 v2 = 5.51 m/s Show more…

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A liquid of density 1270 kg/m³ flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.67 m/s and the pipe diameter d₁ is 11.7 cm. At Location 2, the pipe diameter d₂ is 15.5 cm. At Location 1, the pipe is Δy = 8.83 m higher than it is at Location 2. Ignoring viscosity, calculate the difference ΔP between the fluid pressure at Location 2 and the fluid pressure at Location 1. ΔP = 1.36 x 10⁵ Pa