Concept explainers
(a)
The terminal speed for water droplets with a radius of
(a)
Answer to Problem 69CP
The terminal speed for water droplets with a radius of
Explanation of Solution
Write the expression for the magnitude of resistive force exerted on a sphere.
Here,
Write the expression for the force.
Here,
Equating equations (I) and (II),
Write the expression for the density of the water droplet.
Here,
Write the expression for the volume of the water droplet.
Rewrite the expression (IV) for the mass of the water droplet by substituting equation (V).
Conclusion:
Substitute
Substitute
Substitute
Here
Therefore, the terminal speed for water droplets with a radius of
(b)
The terminal speed for water droplets with a radius of
(b)
Answer to Problem 69CP
The terminal speed for water droplets with a radius of
Explanation of Solution
Write the expression for the magnitude of resistive force exerted on a sphere.
Here,
Write the expression for the force.
Here,
Equating the equation (VII) and (VIII),
Write the expression for the density of the water droplet.
Here,
Write the expression for the volume of the water droplet.
Rewrite the expression (X) for the mass of the water droplet and substitute equation (XI).
Conclusion:
Substitute
Substitute
Substitute
Here taking positive root values.
Therefore, the terminal speed for water droplets with a radius of
(c)
The terminal speed for water droplets with a radius of
(c)
Answer to Problem 69CP
The terminal speed for water droplets with a radius of
Explanation of Solution
Write the expression for the magnitude of resistive force exerted on a sphere.
Here,
Write the expression for the force.
Here,
Equating equations (XIII) and (XIV),
From the part b the expression for the mass of the water droplet,
Conclusion:
Substitute
Substitute
Substitute
Here assuming
Therefore, the terminal speed for water droplets with a radius of
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