Problem: The horizontal pipe, shown in the figure, has a cross-sectional area of 40.0 cm2 at the wider portions and 10.0 cm2 at the constriction. Water is flowing in the pipe, and the discharge from the pipe is 6.00 10 - 3 m3/s (6.00 L/s). The density of mercury is ρHg = 13.6 103 kg/m3 and the density of water is ρw = 1.00 103 kg/m3.a) Find the flow speed at the wide portion.b) Find the flow speed at the narrow portion.c) What is the pressure difference between these portions?d) What is the difference in height between the mercury columns in the U-shaped tube?

🤓 Based on our data, we think this question is relevant for Professor Lau's class at UMICH.

FREE Expert Solution
Problem Details

The horizontal pipe, shown in the figure, has a cross-sectional area of 40.0 cm2 at the wider portions and 10.0 cm2 at the constriction. Water is flowing in the pipe, and the discharge from the pipe is 6.00 10 - 3 m3/s (6.00 L/s). The density of mercury is ρHg = 13.6 103 kg/m3 and the density of water is ρw = 1.00 103 kg/m3.
a) Find the flow speed at the wide portion.
b) Find the flow speed at the narrow portion.
c) What is the pressure difference between these portions?
d) What is the difference in height between the mercury columns in the U-shaped tube?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Bernoulli's Equation concept. If you need more Bernoulli's Equation practice, you can also practice Bernoulli's Equation practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Julia took 6 minutes and 45 seconds to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Lau's class at UMICH.