Question

A steel aircraft carrier is 370 m long when moving through the icy North Atlantic at a temperature of $2.0^{\circ} \mathrm{C} .$ By how much does the carrier lengthen when it is traveling in the warm Mediterranean Sea at a temperature of $21^{\circ} \mathrm{C} ?$

Name: Problem 11, Chapter 12: Physics
Uploaded: 2021-08-10T06:01:09-08:00
Duration: 2 min 6 s
Channel: Vishal Sharma
Description: A steel aircraft carrier is 370 m long when moving through the icy North Atlantic at a temperature of 2.0^∘ C . By how much does the carrier lengthen when it is traveling in the warm Mediterranean Sea at a temperature of 21^∘ C ?

   A steel aircraft carrier is 370 m long when moving through the icy North Atlantic at a temperature of $2.0^{\circ} \mathrm{C} .$ By how much does the carrier lengthen when it is traveling in the warm Mediterranean Sea at a temperature of $21^{\circ} \mathrm{C} ?$

Physics

John D. Cutnell,… 10th Edition

Chapter 12, Problem 11

Instant Answer

Solved by Expert Vishal Sharma

08/10/2021

Step 1

The change in temperature (ΔT) is given by the final temperature minus the initial temperature. In this case, the final temperature is $21^{\circ} \mathrm{C}$ and the initial temperature is $2.0^{\circ} \mathrm{C}$. So, we have: \[ \Delta T = T_{\text{final}} - Show more…

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A steel aircraft carrier is 370 m long when moving through the icy North Atlantic at a temperature of $2.0^{\circ} \mathrm{C} .$ By how much does the carrier lengthen when it is traveling in the warm Mediterranean Sea at a temperature of $21^{\circ} \mathrm{C} ?$

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Key Concepts

Thermal Expansion

Thermal expansion refers to the tendency of a material to change its dimensions when its temperature changes. This concept is critical in understanding how materials like metals expand when heated and contract when cooled, which is fundamental in many engineering applications.

Coefficient of Linear Expansion

The coefficient of linear expansion is a material-specific constant that quantifies how much a material will expand per unit length for a one-degree change in temperature. It is used in calculating the change in length of objects when their temperature changes.

Temperature Change

Temperature change represents the difference between the final and initial temperatures. In thermal expansion problems, this difference is used along with the coefficient of linear expansion to determine the amount of expansion or contraction experienced by a material.

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