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Chapter 1: Problem 117

Obtain a photograph/image of a situation in which the surface tension of a fluid is important. Print this photo and write a brief paragraph that describes the situation involved.

Short Answer

Expert verified
Capture or find a photo depicting surface tension, such as a water strider on water, and write about this phenomenon's role.

Step by step solution

01

Understand Surface Tension

Surface tension is the elastic tendency of a fluid's surface which makes it acquire the least surface area possible. This is the result of cohesive forces between liquid molecules.
02

Identify an Appropriate Scenario

Consider fluid scenarios where surface tension plays a crucial role. Examples include water droplets forming beads, insects such as water striders walking on water, or a needle floating on the water surface.
03

Take or Find a Photograph

Capture or search for a clear photograph depicting one of the identified scenarios, such as water forming beads on a leaf or a water strider on a pond.
04

Print the Photograph

Print the photograph ensuring it is clear enough to showcase the phenomena of surface tension.
05

Write a Descriptive Paragraph

Write a paragraph describing the photograph. Include details about the environment, explain how surface tension is observable in the image, and why it's important in that context. For example, describe how water droplets bead on a leaf due to cohesion and surface tension.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Cohesive Forces
Cohesive forces refer to the attraction between molecules of the same substance. In the context of liquids, these forces are responsible for the characteristic behavior of liquid surfaces, such as forming droplets.
They arise because molecules at the surface of a liquid are not surrounded by similar molecules on all sides. Instead, they experience a net inward force which gives rise to surface tension.
  • This inward force minimizes the surface area, leading to phenomena like spherical water droplets.
  • Cohesion is strongest for molecules at the surface compared to those deeper inside.
Understanding cohesive forces helps explain why liquids form a "skin" that can support light objects. This knowledge is foundational for exploring other fluid behaviors.
Fluid Mechanics
Fluid mechanics is the branch of physics that studies how fluids behave and interact with forces. This includes both liquids like water and gases such as air.
In the context of surface tension, fluid mechanics helps us understand the balance of forces acting on a liquid surface.
  • It involves the study of how fluids flow under various conditions.
  • Analyzes the effects of gravity, pressure, and cohesive forces on fluids.
This field is essential for understanding phenomena like the formation of water droplets and the ability of insects to walk on water. Fluid mechanics provides the foundation for numerous engineering and natural processes.
Water Striders
Water striders are fascinating insects known for their ability to walk on water. This is made possible due to the surface tension created by cohesive forces within the water.
Their long legs distribute their weight evenly, enabling them to "sit" on the water's skin without breaking it.
  • The upward force due to surface tension balances their weight.
  • They take advantage of the high surface tension to skim across the surface.
Understanding how water striders interact with water helps illustrate the practical effects of surface tension in the environment. It also highlights how biological adaptations can utilize physical properties for survival.
Water Droplets
Water droplets are small, round sections of water that form due to surface tension. When water collects on a surface, cohesive forces pull the molecules tightly together, creating a spherical shape.
This is because a sphere has the smallest possible surface area for a given volume.
  • Droplets form easily on non-absorbent surfaces, highlighting cohesion.
  • Surface texture and materials can influence droplet behavior.
Understanding water droplets is crucial in fields such as meteorology and material science. It helps explain how rain forms and how water interacts with various surfaces.

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Most popular questions from this chapter

Standard air flows past a flat surface, and velocity measurements near the surface indicate the following distribution: $$\begin{array}{l|l|l|l|l|r|r} y(\mathrm{ft}) & 0.005 & 0.01 & 0.02 & 0.04 & 0.06 & 0.08 \\ \hline u(\mathrm{ft} / \mathrm{s}) & 0.74 & 1.51 & 3.03 & 6.37 & 10.21 & 14.43 \end{array}$$ The coordinate \(y\) is measured normal to the surface and \(u\) is the velocity parallel to the surface. (a) Assume the velocity distribution is of the form \\[ u=C_{1} y+C_{2} y^{3} \\] and use a standard curve-fitting technique to determine the constants \(C_{1}\) and \(C_{2}\). (b) Make use of the results of part (a) to determine the magnitude of the shearing stress at the wall \((y=0)\) and at \\[ y=0.05 \mathrm{ft} \\]

An open, clean glass tube \(\left(\theta=0^{\circ}\right)\) is inserted vertically into a pan of water (see Video V1.10). What tube diameter is needed if the water level in the tube is to rise one tube diameter (due to surface tension)?

An important dimensionless parameter in certain types of fluid flow problems is the Froude number defined as \(V / \sqrt{g \ell}\) where \(V\) is a velocity, \(g\) the acceleration of gravity, and \(\ell\) a length. Determine the value of the Froude number for \(V=10 \mathrm{ft} / \mathrm{s}\) \(g=32.2 \mathrm{ft} / \mathrm{s}^{2},\) and \(\ell=2 \mathrm{ft} .\) Recalculate the Froude number using SI units for \(V, g,\) and \(\ell .\) Explain the significance of the results of these calculations.

The sled shown in Fig. P1.77 slides along on a thin horizontal layer of water between the ice and the runners. The horizontal force that the water puts on the runners is equal to 1.2 lb when the sled's speed is \(50 \mathrm{ft} / \mathrm{s}\). The total area of both runners in contact with the water is \(0.08 \mathrm{ft}^{2},\) and the viscosity of the water is \(3.5 \times 10^{-5} \mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}^{2}\). Determine the thickness of the water layer under the runners. Assume a linear velocity distribution in the water layer.

In a test to determine the bulk modulus of a liquid it was found that as the absolute pressure was changed from 15 to 3000 psi the volume decreased from 10.240 to 10.138 in. \(^{3}\) Determine the bulk modulus for this liquid.
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