Concept explainers
The terminal velocity of the sphere in the water.
Answer to Problem 42P
The terminal velocity of the sphere in the water
Explanation of Solution
Given information:
The diameter of sphere is
Write the expression for frontal area of sphere.
Here, diameter of sphere is
Write the expression for drag force acting on the sphere.
Here, coefficient of drag is
Write the expression for weight of sphere.
Here, volume of sphere is
Write the expression for buoyant force.
Write the expression for volume of sphere.
Write the relation of weight, buoyant force and drag force for terminal velocity.
Calculation:
Substitute
Refer to Table-11-2 “Drag coefficient of various three-dimensional bodies” to obtain drag coefficient of sphere as
Refer to Table-A-3 “Properties of saturated water” at
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The terminal velocity of the sphere in the water
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Chapter 11 Solutions
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