Concept explainers
At a height of 10 km (33 000 ft) above sea level, atmospheric pressure is about 210 mm of mercury. What is the net resultant normal force on a 600 cm2 window of an airplane flying at this height? Assume the pressure inside the plane is 760 mm of mercury. The density of mercury is 13 600 kg.
(a)
The mass of the dust in a
Answer to Problem 34SP
Solution:
Explanation of Solution
Given data:
The specific gravity of the dust particle is
The diameter of the spherical particle is
The size of the room is
The number of dust particles in
Formula used:
Write the expression of the specific gravity of the material:
Here,
Write the expression for density of the material:
Here,
Explanation:
Calculation for the one dust particle:
Calculate the radius of the dust particle:
Here,
Substitute
Recall the expression of the specific gravity of the dust:
Here,
Rearrange for
Understand that the specific density of the water is
Substitute
Recall the expression of density of the dust.:
Here,
Rearrange for
Understand that the volume is spherical. Hence, calculate the volume of the dust particle by using the formula:
Substitute
Substitute
This is the mass of one dust particle.
Understand that the total number of dust particle in
Therefore, the mass in
Substitute
This is the mass of the dust particle in
The mass of the dust particle in
Here,
This is the total mass of the dust particle in
Conclusion:
Therefore, the mass of the dust particle in
(b)
The mass of the dust in each average breath of
Answer to Problem 34SP
Solution:
Explanation of Solution
Introduction:
If the number of the particle in the volume
Here,
Explanation:
Understand that the mass of the dust particle in
From the previous part, the mass of the dust particle in
The volume of averagebreadth of the air is
Then, mass of the dust particle in
Convert it into small unit:
Conclusion:
Therefore, the mass of the dust in each average breath of
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Chapter 12 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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