If an ideal fluid element moves from a region of lower pressure to a region of higher pressure, is the work done on it by the pr
1 answer:
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Answer:
F1=177.88 Newtons
Explanation:
Let's start with the Bernoulli's equation:
Where:
P is pressure, V is Velocity, g is gravity, h is height and β is density (for water β=1000 kg/m3); at the points 1 and 2 respectively.
From the Bernoulli's equation and assuming that h is constant and P2 is zero (from the data), we have:
As we know, P1 must be equal to , so, replacing P1 in the equation, we have:
And
Now, let's find the velocity to replace the values on the expression:
We can express the flow in function of velocity and area as , where Q is flow, V is velocity and A is area. As the same, we can write this:
. In the last two equations, let's clear Velocities.
and replacing V1 and V2 on the last equation resulting from Bernoulli's (the one that has the force on it):
First, we have to consider that from a mass balance, the flow is the same, so Q1=Q2, what changes, is the velocity. Knowing this, let's write the areas, diameters, density and flow on International Units System (S.I.), because the exercise is asking us the answer in Newtons.
Replacing the respective values in this last expression, we obtain:
F1 = 177.88 N
Answer:
Explanation:
We can solve this problem using the <u>Poiseuille equation</u>:
Where:
is the Volume flow rate
is the effective radius
is the length
is the difference in pressure
is the viscosity of blood
Solving:
To develop the problem it is necessary to take into account the concepts related to Torque and sum of moments.
By torque it is understood that
Where,
F= Force
d = Distance
The value of the given Torque acts from the center of mass causing it to rotate clockwise.
The Force must then be located at the other end down to make a movement opposite the Torque in the center of mass.
I enclose a graph that allows us to understand the problem in a more didactic way.
The correct answer is D.
