Chapter 18: Q10P (page 541)

An aluminum flagpole 33 m ishigh. By how much does its length increase as the temperature increases by $15 C^{\circ}$ ?

Short Answer

Expert verified

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

Step by step solution

The given data

i)Height of flagpole is, L= 33m
ii)The temperature increase, $△ T = 15 ° C$ $△ T = 15^{\circ} C$

Determine the formulas for the thermal expansion

The linear expansion of length is given by:

$△ L = L α_{b} △ T$ ...........(i)

Here, $α$ is the coefficient of linear expansion of body.

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
$△ L = L α_{A l} △ T$ $△ L = L α_{A l} △ T$

Here, the linear coefficient of expansion for aluminum is $α_{A l} = 23 \times 10^{- 6} \frac{1}{° C}$

Hence, the increase in length is given as:

$△ L = 33 \times 23 \times 10^{- 6} \times 15 = 0.011 m$

Hence, the value of increase in length is 0.011m

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An aluminum flagpole 33 m ishigh. By how much does its length increase as the temperature increases by $15 C^{\circ}$ ?

Short Answer

Step by step solution

The given data

Determine the formulas for the thermal expansion

Calculate the increase in length

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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

Step by step solution

The given data

Determine the formulas for the thermal expansion

Calculate the increase in length

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Electrostatics

Fluids

Fields in Physics

Particle Model of Matter

Energy Physics

Study anywhere. Anytime. Across all devices.

An aluminum flagpole 33 m ishigh. By how much does its length increase as the temperature increases by $15 C^{\circ}$ ?