(a)
The primary dimensions of pressure or stress in F-L-T system.
Answer to Problem 98P
The dimensions of stress is
Explanation of Solution
In M-L-T system,
Now, write primary dimension of mass in F-L-T system,
Stress is defined as force per unit area.
In exponential form,
In F-L-T system,
On substituting the value from equation (i),
(b)
The primary dimensions of moment or torque in F-L-T system.
Answer to Problem 98P
The primary dimension of energy is
Explanation of Solution
In M-L-T system,
Now, write primary dimension of mass in F-L-T system,
Moment is defined as the product of force and length of arm
In exponential form, it can be expressed as,
In F-L-T system,
On substituting the value from equation (i),
(c)
The primary dimensions of work or energy in F-L-T system.
Answer to Problem 98P
The primary dimension of energy is
Explanation of Solution
In M-L-T system,
Now, write primary dimension of mass in F-L-T system,
Energy: It is defined as the capacity of doing work.
In exponential form, it can be expressed as,
In F-L-T system,
On substituting the value from equation (i),
Surface tension,
It is defined as the behavior of fluid to minimize the area by shrinking into the minimum surface area possible.
In M-L-T system,
Now, write primary dimension of mass in F-L-T system,
Viscosity: A physical property of fluid which denotes the resistance to flow.
Viscosity
In M-L-T system,
Now, in F-L-T system,
In M-L-T system,
Now, write primary dimension of mass in F-L-T system,
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Chapter 7 Solutions
FLUID MECHANICS (LL) W/CONNECT
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