![A circular duct carrying water gradually contracts from a diameter of 30 cm to 15 cm. The figure (not drawn to scale) shows the arrangement of differential manometer attached to the duct](https://www.gkseries.com/blog/wp-content/uploads/2023/07/A-circular-duct-carrying-water-gradually-contracts-from-a-diameter-of-30-cm-to-15-cm.-The-figure-not-drawn-to-scale-shows-the-arrangement-of-differential-manometer-attached-to-the-duct.jpg)
Q. A circular duct carrying water gradually contracts from a diameter of 30 cm to 15 cm. The figure (not drawn to scale) shows the arrangement of differential manometer attached to the duct.
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/Screenshot-421.png)
When the water flows, the differential manometer shows a deflection of 8 cm of mercury (Hg). The values of specific gravity of mercury and water are 13.6 and 1.0, respectively. Consider the acceleration due to gravity, g = 9.81 m/s2. Assuming frictionless flow, the flow rate (in m3/s, round off to 3 decimal places) through the duct is_____________
Solution:
A circular duct carrying water gradually contracts from a diameter of …
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-186.png)