Question

If the area of head is 15cm×15cm, how much air (in weight) would you carry on your head?
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Answer 1

Concept Introduction: Pressure is force divided by per unit area.

Given:

We have been Given: Area of head is

$15 cm \times 15cm = 225 \: {cm}^{2} = 225 \times {10}^{ - 4} {m}^{2}$

To Find:

We have to Find: Weight of Air on the head.

Solution:

According to the problem, Area of head is

$225 \times {10}^{ - 4} {m}^{2}$

Now, Atmospheric Pressure of air is

$1.01 \times {10}^{5} n {m}^{ - 2}$

therefore, according to the formula,

$p = \frac{f}{a} \\ f = a \times p$

so putting the values in the equation,

$f = 225 \times {10}^{ - 4} \times 1.01 \times {10}^{5}$

that gives us,

$2272.5 \: n = 227.25 \: kg$

Final Answer: Weight of Air on the head is,

$227.25 \: kg$

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