Answer:
moment of inertia = 4.662 * 10^6
Explanation:
Given data :
Mass of machine = 400 kg = 400 * 9.81 = 3924 N
length of span = 3.2 m
E = 200 * 10^9 N/m^2
frequency = 9.3 Hz
Wm ( angular frequency ) = 2 = 58.434 rad/secs
also Wm = ------- EQUATION 1
g = 9.81
deflection of simply supported beam
t =
insert the value of t into equation 1
W =
make I the subject of the equation
I ( Moment of inertia about the neutral axis ) =
I = = 4.662 * 10^6
Answer:
Explanation:
First we should recall how Newton's laws relates shear stress to a fluid's velocity profile:
where tau is the shear stress, mu is viscosity, v is the fluid's velocity and y is the direction perpendicular to flow.
Now, in this case we have a parabolic velocity profile, and also we know that the fluid's velocity is zero at the boundary (no-slip condition) and that the vertex (maximum) is at and the velocity at that point is
We can put that in mathematical terms as:
From the no-slip condition, we can deduce that and so we are left with just two terms:
We know that the vertex is at and so we can rewrite the last equation as:
where k and h are constants to be determined. First we check that :
So we found that h was the maximum velocity for the fluid, now we have to determine k, for that we need to make use of the no-slip condition.
And thus we find that the final expression for the fluid's velocity is:
where v is in mm/s and y is in mm.
In SI units it would be:
To calculate the shear stress, we need to take the derivative of this expression and multiply by the fluid's viscosity:
for we have:
Which is our final result
Answer:
Pressure- temperature diagram of the fluid is the phase lines that separate all the phases.
Explanation:
Step1
Pressure temperature diagram is the diagram that represents the all the phases of the fluid by separating a line. There is no phase change region in the pressure temperature diagram out of 15 possible diagrams. There are three lines that separate the phase of the fluid. These three lines are fusion, vaporization and sublimation.
Step2
The intersecting point of these lines is triple point of fluid. Out of 15 possible phase diagram, only pressure temperature diagram has triple point as a point. In other diagrams phase change region is present and triple point is not a point. Critical point is the point in all possible property diagrams.
Pressure temperature diagram is shown below:
