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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=15CT=15C
02

Determine the formulas for the thermal expansion

The linear expansion of length is given by:

L=LbT ...........(i)

Here, is 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=LAlTL=LAlT

Here, the linear coefficient of expansion for aluminum isAl=2310-61C

Hence, the increase in length is given as:

L=332310-615=0.011m

Hence, the value of increase in length is 0.011m

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