Answer:
The power developed in HP is 2702.7hp
Explanation:
Given details.
P1 = 150 lbf/in^2,
T1 = 1400°R
P2 = 14.8 lbf/in^2,
T2 = 700°R
Mass flow rate m1 = m2 = m = 11 lb/s Q = -65000 Btu/h
Using air table to obtain the values for h1 and h2 at T1 and T2
h1 at T1 = 1400°R = 342.9 Btu/h
h2 at T2 = 700°R = 167.6 Btu/h
Using;
Q - W + m(h1) - m(h2) = 0
W = Q - m (h2 -h1)
W = (-65000 Btu/h ) - 11 lb/s (167.6 - 342.9) Btu/h
W = (-65000 Btu/h ) - (-1928.3) Btu/s
W = (-65000 Btu/h ) * {1hr/(60*60)s} - (-1928.3) Btu/s
W = -18.06Btu/s + 1928.3 Btu/s
W = 1910.24Btu/s
Note; Btu/s = 1.4148532hp
W = 2702.7hp
Given :
Force,
.
Force is acting at point A( 2 m, 3 m ) and B( 3 m, 5 m )
To Find :
The work done by force F .
Solution :
Displacement vector between point A and B is :
![\vec{d} = (3-2)\hat{i} + (5-3)\hat{j}\\\\\vec{d} = \hat{i} + 2\hat{j}](https://tex.z-dn.net/?f=%5Cvec%7Bd%7D%20%3D%20%283-2%29%5Chat%7Bi%7D%20%2B%20%285-3%29%5Chat%7Bj%7D%5C%5C%5C%5C%5Cvec%7Bd%7D%20%3D%20%5Chat%7Bi%7D%20%2B%202%5Chat%7Bj%7D)
Now, we know work done is given by :
![W = \vec{F}.\vec{d}\\\\W= (2\hat{i} + 5\hat{j}).(\hat{i}+\hat{2j})\\\\W = (2\times 1) +( 5\times 2) \ kJ\\\\W = 12 \ kJ](https://tex.z-dn.net/?f=W%20%3D%20%5Cvec%7BF%7D.%5Cvec%7Bd%7D%5C%5C%5C%5CW%3D%20%282%5Chat%7Bi%7D%20%2B%205%5Chat%7Bj%7D%29.%28%5Chat%7Bi%7D%2B%5Chat%7B2j%7D%29%5C%5C%5C%5CW%20%3D%20%282%5Ctimes%201%29%20%2B%28%205%5Ctimes%202%29%20%5C%20kJ%5C%5C%5C%5CW%20%3D%2012%20%5C%20kJ)
W = 12000 J
Therefore, work done by force is 12000 J .
Answer:
ω=314.15 rad/s.
0.02 s.
Explanation:
Given that
Motor speed ,N= 3000 revolutions per minute
N= 3000 RPM
The speed of the motor in rad/s given as
![\omega=\dfrac{2\pi N}{60}\ rad/s](https://tex.z-dn.net/?f=%5Comega%3D%5Cdfrac%7B2%5Cpi%20N%7D%7B60%7D%5C%20rad%2Fs)
Now by putting the values in the above equation
![\omega=\dfrac{2\pi \times 3000}{60}\ rad/s](https://tex.z-dn.net/?f=%5Comega%3D%5Cdfrac%7B2%5Cpi%20%5Ctimes%203000%7D%7B60%7D%5C%20rad%2Fs)
ω=314.15 rad/s
Therefore the speed in rad/s will be 314.15 rad/s.
The speed in rev/sec given as
![\omega=\dfrac{ 3000}{60}\ rad/s](https://tex.z-dn.net/?f=%5Comega%3D%5Cdfrac%7B%203000%7D%7B60%7D%5C%20rad%2Fs)
ω= 50 rev/s
It take 1 sec to cover 50 revolutions
That is why to cover 1 revolution it take
![\dfrac{1}{50}=0.02\ s](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B50%7D%3D0.02%5C%20s)
Explanation:
Science is the body of knowledge that explores the physical and natural world. Engineering is the application of knowledge in order to design, build and maintain a product or a process that solves a problem and fulfills a need (i.e. a technology).
Answer:
Velocity component in x-direction
.
Explanation:
v=3xy+
y
We know that for incompressible flow
![\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}=0](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20u%7D%7B%5Cpartial%20x%7D%2B%5Cfrac%7B%5Cpartial%20v%7D%7B%5Cpartial%20y%7D%3D0)
![\frac{\partial v}{\partial y}=3x+x^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20v%7D%7B%5Cpartial%20y%7D%3D3x%2Bx%5E%7B2%7D)
So ![\frac{\partial u}{\partial x}+3x+x^{2}=0](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20u%7D%7B%5Cpartial%20x%7D%2B3x%2Bx%5E%7B2%7D%3D0)
![\frac{\partial u}{\partial x}= -3x-x^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20u%7D%7B%5Cpartial%20x%7D%3D%20-3x-x%5E%7B2%7D)
By integrate with respect to x,we will find
+C
So the velocity component in x-direction
.