/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q14E Aluminium rivets used in airplan... [FREE SOLUTION] | 91影视

91影视

Log out

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 鈥渄ry ice鈥� (solid CO2) before being driven. If the diameter of a hole is 4.500 mm, what should be the diameter of a rivet at 23.0潞C if its diameter is to equal that of the hole when the rivet is cooled to -78.0潞C, 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+伪鈭�T) ...(i)

Here, L is the expanded length, L0 is the original length, 伪 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,

伪=2.4脳10-5C掳-1

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

D=D0+鈭�D=D01+伪鈭�T

Substitute all the values in the above equation,

D=0.4500cm1+2.4脳10-5C掳-123.0C掳--78.0C掳=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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Two moles of an ideal gas are heated at constant pressure from T = 27掳C to T = 107掳C. (a) Draw a pV-diagram for this process. (b) Calculate the work done by the gas

A large tank of water has a hose connected to it. The tank is sealed at the top and has compressed air between the water surface and the top. When the water height h has the value 3.50 m , the absolute pressure p of the compressed air is 4.20脳105Pa. Assume that the air above the water expands at constant temperature, and take the atmospheric pressure to be 1.00脳105Pa (a) What is the speed with which water flows out of the hose when h = 3.50 m ? (b) As water flows out of the tank, h decreases. Calculate the speed of flow for h = 3.00m and for . (c) At what value of h does the flow stop?

Atmosphere of Titan. Titan, the largest satellite of Saturn, has a thick nitrogen atmosphere. At its surface, the pressure is 1.5 earth-atmospheres and the temperature is 94 K. (a) What is the surface temperature in 掳C? (b) Calculate the surface density in Titan鈥檚 atmosphere in molecules per cubic meter. (c) Compare the density of Titan鈥檚 surface atmosphere to the density of earth鈥檚 atmosphere at 22掳C. Which body has denser atmosphere?

You build a heat engine that takes 1.00 mol of an ideal diatomic gas through the cycle shown in Fig. P20.39. (a) Show that process ab is an isothermal compression. (b) During which process(es) of the cycle is heat absorbed by the gas? During which process(es) is heat rejected? How do you know? Calculate (c) the temperature at points a, b, and c; (d) the net heat exchanged with the surroundings and net work done by the engine in one cycle; (e) the thermal efficiency of the engine.

The efficiency of heat engines is high when the temperature difference between the hot and cold reservoirs is large. Refrigerators, on the other hand, work better when the temperature difference is small. Thinking of the mechanical refrigeration cycle shown in Fig. 20.9, explain in physical terms why it takes less work to remove heat from the working substance if the two reservoirs (the inside of the refrigerator and the outside air) are at nearly the same temperature, than if the outside air is much warmer than the interior of the refrigerator.
See all solutions

Recommended explanations on Physics Textbooks

Classical Mechanics

Read Explanation

Space Physics

Read Explanation

Mechanics and Materials

Read Explanation

Geometrical and Physical Optics

Read Explanation

Kinematics Physics

Read Explanation

Circular Motion and Gravitation

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.