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Chapter 18: Q10P (page 541)

An aluminum flagpole 33 m ishigh. By how much does its length increase as the temperature increases by 15C∘?

Short Answer

Expert verified

The increase in length due to its temperature increase is 0.001m.

Step by step solution

01

The given data

  • i)Height of flagpole is, L= 33m
  • ii)The temperature increase,△T=15°C△T=15∘C
02

Determine the formulas for the thermal expansion

The linear expansion of length is given by:

△L=Lαb△T ...........(i)

Here, αis the coefficient of linear expansion of body.

03

Calculate the increase in length

Change in the height of the flagpole is a linear expansion.

From this, write the increase in the length of flagpole as
△L=LαAl△T△L=LαAl△T

Here, the linear coefficient of expansion for aluminum isαAl=23×10-61°C

Hence, the increase in length is given as:

△L=33×23×10-6×15=0.011m

Hence, the value of increase in length is 0.011m

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