Problem no 1 on Differential U tube Manometer Problem on Difference in Pressure - Fluid Mechanics 1

TL;DR

Learn how to calculate the pressure difference using a differential manometer in a pipe containing oil with a specific gravity of 0.9.

Transcript

hello friends here in this video we will see a problem on how to calculate the difference of pressure by using differential nanometer so here we have the question a pipe contains an oil of specific gravity 0.9 a differential manometer connected at the two points a and b shows a difference in mercury level as 15 centimeter full stop find the differe... Read More

Key Insights

• 🫗 The specific gravity of a substance can be used to calculate its density relative to a standard liquid.
• ↔️ Balancing the left and right limbs of a differential manometer allows us to determine the pressure difference.
• 🙈 The density of a fluid affects the pressure it exerts in a column, as seen in the calculations involving oil and mercury.
• 🛢️ The specific gravity of oil is used to simplify calculations involving pipelines containing the same fluid.

Questions & Answers

Q: How can we calculate the pressure difference using a differential manometer in a pipe containing oil?

The pressure difference can be calculated by balancing the left and right limbs of the manometer using the heights of oil and mercury and considering the densities of the fluids involved.

Q: Why do we use the specific gravity of oil to calculate its density?

The specific gravity of oil allows us to determine its density relative to the density of water, which is a standard liquid used for reference.

Q: What is the significance of both pipelines containing oil with the same specific gravity?

The fact that both pipelines contain oil with the same specific gravity means that the density of oil in both pipelines is the same, simplifying the calculations.

Q: How is the pressure of point A in pipeline A calculated?

The pressure at point A is calculated by considering the pressure exerted by the oil column and the pressure inside the pipeline.

Summary & Key Takeaways

• A pipe contains oil with a specific gravity of 0.9, and a differential manometer connected at two points shows a 15 cm difference in mercury level.

• The density of oil can be calculated using its specific gravity and the density of water.

• To find the pressure difference at the two points, the left and right limbs of the differential manometer are balanced using the heights of oil and mercury.