Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q14E (page 575)

Aluminium rivets used in airplane construction are made slightly larger than the rivet holes and cooled by “dry ice” (solid CO2) before being driven. If the diameter of a hole is 4.500 mm, what should be the diameter of a rivet at 23.0ºC if its diameter is to equal that of the hole when the rivet is cooled to -78.0ºC, the temperature of dry ice? Assume that the expansion coefficient remains constant at the value given in Table 17.1.

Short Answer

Expert verified

The diameter value of the rivet is4.511mm.

Step by step solution

01

Concept of Linear Expansion in solids.

The linear change in length when the temperature change is given by the linear expansion expression,

L=L0(1+α∆T) ...(i)

Here, L is the expanded length, L0 is the original length, α is the coefficient of expansion of the material and T is the absolute temperature.

02

 Determination of the diameter value of the rivet following the conditions mentioned.

For aluminium, the coefficient of linear expansion,

α=2.4×10-5C°-1

Take the diameter of rivet at -78.0ºC as D0and the diameter at 23.0ºC is D. Then,

D=D0+∆D=D01+α∆T

Substitute all the values in the above equation,

D=0.4500cm1+2.4×10-5C°-123.0C°--78.0C°=0.4511cm=4.511mm

Thus, the expanded diameter value of the rivet is 4.511mm

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.

Start your free trial

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

Consider two specimens of ideal gas at the same temperature. Specimen A has the same total mass as specimen B, but the molecules in specimen A have greater molar mass than they do in specimen B. In which specimen is the total kinetic energy of the gas greater? Does your answer depend on the molecular structure of the gases? Why or why not?

The free expansion of an ideal gas is an adiabatic process and so no heat is transferred. No work is done, so the internal energy does not change. Thus,QT=0, yet the randomness of the system and thus its entropy have increased after the expansion. Why does Eq.(20.19)not apply to this situation?

Explain why each of the following processes is an example of increasing randomness: mixing hot and cold water; free expansion of a gas; irreversible heat flow; developing heat by mechanical friction. Are entropy increases involved in all of these? Why or why not?

The inside of an oven is at a temperature of 200° C (392° F). You can put your hand in the oven without injury as long as you don’t touch anything. But since the air inside the oven is also at 200° C, why isn’t your hand burned just the same?

The prevailing winds on the Hawaiian island of Kauai blow from the northeast. The winds cool as they go up the slope of Mt. Waialeale (elevation 1523 m), causing water vapor to condense and rain to fall. There is much more precipitation at the summit than at the base of the mountain, explains why the island of Niihau, a few kilometers to the southwest of Kauai, is almost a desert and farms there need to be irrigated.
See all solutions

Recommended explanations on Physics Textbooks

Particle Model of Matter

Read Explanation

Atoms and Radioactivity

Read Explanation

Solid State Physics

Read Explanation

Rotational Dynamics

Read Explanation

Kinematics Physics

Read Explanation

Thermodynamics

Read Explanation
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