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Chapter 1: Q2DQ (page 389)

A rubber hose is attached to a funnel, and the free end is bent around to point upward. When water is poured into the funnel, it rises in the hose to the same level as in the funnel, even though the funnel has a lot more water in it than the hose does. Why? What supports the extra weight of the water in the funnel?

Short Answer

Expert verified

The height of the water will be similar in the hose as in the funnel.

Step by step solution

01

Understanding the Bernoulli’s principle

In this problem, the concept of Bernoulli’s principle will be used in order to estimate the height of the water in the hose and the funnel.

02

Evaluating the height of the water

The relation from Bernoulli’s principle is given by,

In the above relation, it is observed that the pressure of the water doesn’t rely on the cross-sectional area of the pipes. It is dependent on the height of the water level. Water in the hose, as well as the funnel, is exposed to similar atmospheric pressure. Hence the rise of the water in the hose will be at the same level as in the funnel. Also, the reaction forces from the side of the funnel will support the extra weight of the water present in the funnel.

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