The teapot effect:Water poured slowly from a teapot spout can double back under the spout for a considerable distance (held there by atmospheric pressure) before detaching and falling. In Fig. 14-23, the four points are at the top or bottom of the water layers, inside or outside. Rank those four points according to the gauge pressure in the water there, most positive first.

Short Answer

Expert verified

The rank of the four points according to the gauge pressure in the water there, most positive first isPc<Pa=Pd<Pb.

Step by step solution

01

The given data 

The figure shows the points where we have to find the gauge pressure.

02

Understanding the concept of the pressure

Using the concept of gauge pressure, we can see that the pressure value is proportional to the depth measured from the outer surface of the water.

Formula:

The gauge pressure at a depth on a body in downward direction, Pg=ρgh (i)

03

Calculation of the rank according to the pressure values

Gauge pressure is measured from the surface of the liquid.

We are measuring the gauge pressure from the surface of the tea spout as a reference level.

Thus, gauge pressure at each point is given using equation (i) as follows:

At point a:

Pa=0

At point d:

Pd=0

At point b:

Here, depth is downward.

Thus, the value of the pressure is given as:

Pb=ρgh

At point c:

Here depth is measured upward. Hence,

Pc=-ρgh

Therefore, the rank according to the gauge pressure in the water isPc<Pa=Pd<Pb.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A garden hose with an internal diameter of 1.9cmis connected to a (stationary) lawn sprinkler that consists merely of a container with24holes, each 0.13cmin diameter. If the water in the hose has a speed of 0.9ms, at what speed does it leave the sprinkler holes?

In an experiment, a rectangular block with height h is allowed to float in four separate liquids. In the first liquid, which is water, it floats fully submerged. In liquids A, B, and C, it floats with heights h/2,

2h/3, and h/4 above the liquid surface, respectively. What are the relative densities (the densities relative to that of water) of (a) A, (b) B, and (c) C?

Blood pressure in Argentinosaurus. (a) If this longnecked, gigantic sauropod had a head height of 21 mand a heart height of9.0m,what (hydrostatic) gauge pressure in its blood was required at the heart such that the blood pressure at the brain was 80 torr (just enough to perfuse the brain with blood)? Assume the blood had a density of1.06×103KG/M3. (b) What was the blood pressure (in torror mm Hg) at the feet?

In analyzing certain geological features, it is often appropriate to assume that the pressure at some horizontal level of compensation, deep inside Earth, is the same over a large region and is equal to the pressure due to the gravitational force on the overlying material. Thus, the pressure on the level of compensation is given by the fluid pressure formula. This model requires, for one thing, that mountains have roots of continental rock extending into the denser mantle (Figure). Consider a mountain of heightH=6.0kmkm on a continent of thickness T=32km. The continental rock has a density of2.9g/cm3 , and beneath this rock the mantle has a density of 3.3g/cm3. Calculate the depth of the root. (Hint: Set the pressure at points a and b equal; the depth y of the level of compensation will cancel out.)

Find the pressure increase in the fluid in a syringe when a nurse applies a force of 42 Nto the syringe’s circular piston, which has a radius of 1.1 cm

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free