Chapter 18: Q. 44 (page 512)

A 15 $°$ C, 2.0-cm-diameter aluminum bar just barely slips between two rigid steel walls 10.0 cm apart. If the bar is warmed to 25 $°$ C, how much force does it exert on each wall?

Short Answer

Expert verified

The accurate answer is $14.5 k n$

Step by step solution

Description

A 15 $°$ C, 2.0-cm-diameter aluminum bar just barely slips between two rigid steel walls 10.0 cm apart.

The young module depicts

$p = \frac{F}{A} = Y \frac{∆ L}{L}$

Finding the result

The description provided that

$F = A Y \frac{∆ L}{L} = \frac{π}{4} D^{2} Y \frac{∆ L}{L}$

From the expression for linear thermal expansion is:

$\frac{∆ L}{L} = α ∆ T$

Therefore, the final expansion will be:

$F = \frac{{πD}^{2}}{4} Y α ∆ T$

The table of 18.4 depicts that the coefficient of linear thermal expansion of Aluminium is almost $23 . 10^{- 5} 1 / k$ .

The table of 14.3 depicts that Aluminium's young modules is $Y = 20 . 10^{10} N / m^{2}$ .

Thus, $F = \frac{π \cdot 0 . 02^{2}}{4} \cdot 20 \cdot 10^{10} \cdot 2.3 \cdot 10^{- 5} \cdot 10 = 14500 N$

Therefore, If the bar is warmed to 25 $°$ C, the force of $14.5 k N$ , it exert on each wall.

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!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A 15 $°$ C, 2.0-cm-diameter aluminum bar just barely slips between two rigid steel walls 10.0 cm apart. If the bar is warmed to 25 $°$ C, how much force does it exert on each wall?

Short Answer

Step by step solution

Description

Finding the result

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fluids

Classical Mechanics

Kinematics Physics

Force

Waves Physics

Dynamics

Study anywhere. Anytime. Across all devices.

A 15°C, 2.0-cm-diameter aluminum bar just barely slips between two rigid steel walls 10.0 cm apart. If the bar is warmed to 25°C, how much force does it exert on each wall?

Short Answer

Step by step solution

Description

Finding the result

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fluids

Classical Mechanics

Kinematics Physics

Force

Waves Physics

Dynamics

Study anywhere. Anytime. Across all devices.

A 15 $°$ C, 2.0-cm-diameter aluminum bar just barely slips between two rigid steel walls 10.0 cm apart. If the bar is warmed to 25 $°$ C, how much force does it exert on each wall?