Answer:

Explanation:
From the question we are told that:
Voltage 
Power 
Initial Power factor 
Final Power factor 
Generally the equation for Reactive Power is mathematically given by
Q=P(tan \theta_2-tan \theta_1)
Since




And




Therefore



Therefore
The size of the capacitor in vars that is necessary to raise the power factor to 0.9 lagging is

Answer:
Option B is correct
Explanation:
Let
Higher temperature =
Lower temperature = 
We know that COP is given by

We see that COP is depends only on the temperature difference & Temperature difference is maximum for the Carnot cycle.
Therefore the COP of reversible refrigeration cycle is always less then the COP of an irreversible refrigeration cycle when each operates between the same two thermal reservoirs.
Therefore option B is correct
Answer:
the range of K can be said to be : -3.59 < K< 0.35
Explanation:
The transfer function of a typical tape-drive system is given by;
![KG(s) = \dfrac{K(s+4)}{s[s+0.5)(s+1)(s^2+0.4s+4)]}](https://tex.z-dn.net/?f=KG%28s%29%20%3D%20%5Cdfrac%7BK%28s%2B4%29%7D%7Bs%5Bs%2B0.5%29%28s%2B1%29%28s%5E2%2B0.4s%2B4%29%5D%7D)
calculating the characteristics equation; we have:
1 + KG(s) = 0
![1+ \dfrac{K(s+4)}{s[s+0.5)(s+1)(s^2+0.4s+4)]} = 0](https://tex.z-dn.net/?f=1%2B%20%20%20%5Cdfrac%7BK%28s%2B4%29%7D%7Bs%5Bs%2B0.5%29%28s%2B1%29%28s%5E2%2B0.4s%2B4%29%5D%7D%20%3D%200)
![{s[s+0.5)(s+1)(s^2+0.4s+4)]} +{K(s+4)}= 0](https://tex.z-dn.net/?f=%7Bs%5Bs%2B0.5%29%28s%2B1%29%28s%5E2%2B0.4s%2B4%29%5D%7D%20%2B%7BK%28s%2B4%29%7D%3D%200)


We can compute a Simulation Table for the Routh–Hurwitz stability criterion Table as follows:
1 5.1 2+ K
1.9 6.2 4K
1.83
0
4K 0
S
0 0


We need to understand that in a given stable system; all the elements in the first column is usually greater than zero
So;
11.34 - 1.9(X) > 0


7.54 +2.1 K > 0
2.1 K > - 7.54
K > - 7.54/2.1
K > - 3.59
Also
4K >0
K > 0/4
K > 0
Similarly;
XY - 7.32 K > 0
![(\dfrac{3.8+1.9K-4K}{1.9})[11.34 - 1.9(\dfrac{3.8+1.9K-4K}{1.83}) > 7.32 \ K]](https://tex.z-dn.net/?f=%28%5Cdfrac%7B3.8%2B1.9K-4K%7D%7B1.9%7D%29%5B11.34%20%20-%201.9%28%5Cdfrac%7B3.8%2B1.9K-4K%7D%7B1.83%7D%29%20%3E%207.32%20%5C%20K%5D)
0.54(2.1K+7.54)>7.32 K
11.45 K < 4.07
K < 4.07/11.45
K < 0.35
Thus the range of K can be said to be : -3.59 < K< 0.35
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
Now by putting the values in the above equation
ω=314.15 rad/s
Therefore the speed in rad/s will be 314.15 rad/s.
The speed in rev/sec given as
ω= 50 rev/s
It take 1 sec to cover 50 revolutions
That is why to cover 1 revolution it take

Answer:
A) 5 MPa , 55 MPa
B) maximum stress = 55 MPa, maximum shear stress = 25 MPa
Explanation:
using the given Data
free surface of a solid body
α
= 50 MPa, α
= 10 MPa , t
= -15 MPa
attached below is the detailed solution to the question