Answer:
1.24 m/s
Explanation:
Metric unit conversion:
9.25 mm = 0.00925 m
5 mm = 0.005 m
The volume rate that flow through the single pipe is
![\dot{V} = vA = 1.45 * \pi * 0.00925^2 = 0.00039 m^3/s](https://tex.z-dn.net/?f=%5Cdot%7BV%7D%20%3D%20vA%20%3D%201.45%20%2A%20%5Cpi%20%2A%200.00925%5E2%20%3D%200.00039%20m%5E3%2Fs)
This volume rate should be constant and divided into the 4 narrower pipes, each of them would have a volume rate of
![\dot{V_n} = \dot{V} / 4 = 0.00039 / 4 = 9.74\times10^{-5} m^3/s](https://tex.z-dn.net/?f=%5Cdot%7BV_n%7D%20%3D%20%5Cdot%7BV%7D%20%2F%204%20%3D%200.00039%20%2F%204%20%3D%209.74%5Ctimes10%5E%7B-5%7D%20m%5E3%2Fs)
So the flow speed of each of the narrower pipe is:
![v_n = \frac{\dot{V_n}}{A_n} = \frac{\dot{V_n}}{\pi r_n^2}](https://tex.z-dn.net/?f=v_n%20%3D%20%5Cfrac%7B%5Cdot%7BV_n%7D%7D%7BA_n%7D%20%3D%20%5Cfrac%7B%5Cdot%7BV_n%7D%7D%7B%5Cpi%20r_n%5E2%7D)
We make a graphic of this problem to define the angle.
The angle we can calculate through triangle relation, that is,
![sin\theta = \frac{c}{QP}\\sin\theta = \frac{c}{R}\\\theta=sin^{-1}\frac{c}{R}](https://tex.z-dn.net/?f=sin%5Ctheta%20%3D%20%5Cfrac%7Bc%7D%7BQP%7D%5C%5Csin%5Ctheta%20%3D%20%5Cfrac%7Bc%7D%7BR%7D%5C%5C%5Ctheta%3Dsin%5E%7B-1%7D%5Cfrac%7Bc%7D%7BR%7D)
With this function we should only calculate the derivate in function of c
![\frac{d\theta}{dc} = \frac{1}{\sqrt{1-\frac{c^2}{R^2}}}(\frac{c}{R})'\\\frac{d\theta}{dc} = \frac{1}{\sqrt{R^2-c^2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Ctheta%7D%7Bdc%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B1-%5Cfrac%7Bc%5E2%7D%7BR%5E2%7D%7D%7D%28%5Cfrac%7Bc%7D%7BR%7D%29%27%5C%5C%5Cfrac%7Bd%5Ctheta%7D%7Bdc%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7BR%5E2-c%5E2%7D%7D)
That is the rate of change of
.
b) At this point we need only make a substitution of 0 for c in the equation previously found.
![\frac{d\theta}{dc}\big|_{c=0} = \frac{1}{\sqrt{R^2-0}}\\\frac{d\theta}{dc}\big|_{c=0} = \frac{1}{R}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Ctheta%7D%7Bdc%7D%5Cbig%7C_%7Bc%3D0%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7BR%5E2-0%7D%7D%5C%5C%5Cfrac%7Bd%5Ctheta%7D%7Bdc%7D%5Cbig%7C_%7Bc%3D0%7D%20%3D%20%5Cfrac%7B1%7D%7BR%7D)
Hence we have finally the rate of change when c=0.
Answer:
<em>C. planetary accretion</em>
Explanation:
<em>Astronomers think planets formed from interstellar dust gases that clumped together in a process called </em><u><em>planetary accretion</em></u><em>.</em>
Answer: Negative punishment includes taking away a certain reinforcing item after the undesired behavior happens in order to decrease future responses. Positive punishment involves adding an aversive consequence after an undesired behavior is emitted to decrease future responses.
<em>HOPE THIS HELPS</em>
<em>SUKHMANJOT </em>
Answer: No
Explanation:they do not exist electric field lines are only imaginary