Answer:
a) ![E_{b} = 221 V](https://tex.z-dn.net/?f=E_%7Bb%7D%20%3D%20221%20V)
b) P = 13,800 W
c) ![P_{mech} = 13260 W](https://tex.z-dn.net/?f=P_%7Bmech%7D%20%3D%2013260%20W)
di) ![I_{initial} = 1533.33 A](https://tex.z-dn.net/?f=I_%7Binitial%7D%20%3D%201533.33%20A)
dii) ![R_{start} = 1.85 ohms](https://tex.z-dn.net/?f=R_%7Bstart%7D%20%3D%201.85%20ohms)
Explanation:
Voltage, Vt = 230 V
Armature current, ![I_{a} = 60 A](https://tex.z-dn.net/?f=I_%7Ba%7D%20%3D%2060%20A)
Armature Resistance, ![R_{a} = 0.15 ohms](https://tex.z-dn.net/?f=R_%7Ba%7D%20%3D%200.15%20ohms)
a) The back emf is calculated as follows:
![E_{b} = V_{t} - I_{a} R_{a} \\E_{b} = 230 - (60 * 0.15)\\E_{b} = 230 - 9\\E_{b} = 221 V](https://tex.z-dn.net/?f=E_%7Bb%7D%20%3D%20V_%7Bt%7D%20-%20I_%7Ba%7D%20R_%7Ba%7D%20%5C%5CE_%7Bb%7D%20%3D%20230%20-%20%2860%20%2A%200.15%29%5C%5CE_%7Bb%7D%20%3D%20230%20-%209%5C%5CE_%7Bb%7D%20%3D%20221%20V)
b) The power supplied to the armature (W)
![P =V_{t} I_{a}](https://tex.z-dn.net/?f=P%20%3DV_%7Bt%7D%20%20I_%7Ba%7D)
P = 230 * 60
P = 13,800 W
c) Mechanical power developed by the motor
= Power supplied to the armature - Power lost in the armature
Power lost in the armature, ![P_{a} = I_{a} ^{2} R_{a}](https://tex.z-dn.net/?f=P_%7Ba%7D%20%3D%20I_%7Ba%7D%20%5E%7B2%7D%20R_%7Ba%7D)
![P_{a} = 60^{2} *0.15\\P_{a} = 540 W](https://tex.z-dn.net/?f=P_%7Ba%7D%20%3D%2060%5E%7B2%7D%20%2A0.15%5C%5CP_%7Ba%7D%20%3D%20540%20W)
![P_{mech} = 13800 - 540\\P_{mech} = 13260 W](https://tex.z-dn.net/?f=P_%7Bmech%7D%20%3D%2013800%20-%20540%5C%5CP_%7Bmech%7D%20%3D%2013260%20W)
d)( i)The initial starting current if the motor is directly connected across the 230 V line
At starting, there is no back emf, ![E_{b} = 0](https://tex.z-dn.net/?f=E_%7Bb%7D%20%3D%200)
![V_{t} = I_{initial} R_{a}](https://tex.z-dn.net/?f=V_%7Bt%7D%20%3D%20I_%7Binitial%7D%20R_%7Ba%7D)
![230 = I_{initial} * 0.15\\ I_{initial} = 230/0.15\\ I_{initial} = 1533.33 A](https://tex.z-dn.net/?f=230%20%3D%20I_%7Binitial%7D%20%2A%200.15%5C%5C%20I_%7Binitial%7D%20%3D%20230%2F0.15%5C%5C%20I_%7Binitial%7D%20%3D%201533.33%20A)
ii) Value of the starting resistor needed to limit the initial current to 115 A
![V_{t} = I_{initial} (R_{a} + R_{start})](https://tex.z-dn.net/?f=V_%7Bt%7D%20%3D%20I_%7Binitial%7D%20%28R_%7Ba%7D%20%2B%20R_%7Bstart%7D%29)
![230= 115 (0.15 + R_{start})\\230/115 = 0.15 + R_{start}\\2 - 0.15 = R_{start}\\ R_{start} = 1.85 ohms](https://tex.z-dn.net/?f=230%3D%20115%20%280.15%20%2B%20R_%7Bstart%7D%29%5C%5C230%2F115%20%3D%200.15%20%2B%20R_%7Bstart%7D%5C%5C2%20-%200.15%20%3D%20%20R_%7Bstart%7D%5C%5C%20R_%7Bstart%7D%20%3D%201.85%20ohms)
Answer:
You must yield the right-of-way to a police car, fire engine, ambulance, or other emergency vehicle that uses a siren and flashing lights. Pull as close to the right of the road as possible and stop until the emergency vehicle(s) has passed. However, don't stop in an intersection because that would cause a wreck.
Explanation:
please have a good day. and also mark as brainllest bye
[o]-[o]
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Answer:
a) The minimum acceptable value is 387.5 HV using Vickers hardness test.
b) The minimum acceptable value is 39.4 HRC using Rockwell C hardness test.
Explanation:
To get the tensile strength of a material from its hardness, we multiply it by an empirical constant that depends on things like yield strength, work-hardening, Poisson's ratio and geometrical factors. The incidence of cold-work varies this relationship.
According to DIN 50150 (a conversion table for hardness), the constant for Vickers hardness is ≈ 3.2 (an empirical approximate):
According to DIN 50150, the constant for Rockwell C hardness test is ≈31.5 around this values of tensile strength:
Answer:
0.0297M^3/s
W=68.48kW
Explanation:
Hello! To solve this problem, we must first find all the thermodynamic properties at the input (state 1) and the compressor output (state 2), using the thermodynamic tables
Through laboratory tests, thermodynamic tables were developed, these allow to know all the thermodynamic properties of a substance (entropy, enthalpy, pressure, specific volume, internal energy etc ..)
through prior knowledge of two other properties such as pressure and temperature.
state 1
X=quality=1
T=-26C
density 1=α1=5.27kg/m^3
entalpy1=h1=234.7KJ/kg
state 2
T2=70
P2=8bar=800kPa
density 2=α2=31.91kg/m^3
entalpy2=h2=306.9KJ/kg
Now to find the flow at the outlet of the compressor, we remember the continuity equation that states that the mass flow is equal to the input and output.
m1=m2
(Q1)(α1)=(Q2)(α2)
![\frac{(Q1)(\alpha 1) }{\alpha 2} =Q2\\Q2=\frac{(0.18)(5.27) }{31.91} =0.0297M^3/s](https://tex.z-dn.net/?f=%5Cfrac%7B%28Q1%29%28%5Calpha%201%29%20%7D%7B%5Calpha%202%7D%20%3DQ2%5C%5CQ2%3D%5Cfrac%7B%280.18%29%285.27%29%20%7D%7B31.91%7D%20%3D0.0297M%5E3%2Fs)
the volumetric flow rate at the exit is 0.0297M^3/s
To find the power of the compressor we use the first law of thermodynamics that says that the energy that enters must be equal to the energy that comes out, in this order of ideas we have the following equation
W=m(h2-h1)
m=Qα
W=(0.18)(5.27)(306.9-234.7)
W=68.48kW
the compressor power is 68.48kW
Answer:
Step 1
Given
Diameter of circular grill, D = 0.3m
Distance between the coal bricks and the steaks, L = 0.2m
Temperatures of the hot coal bricks, T₁ = 950k
Temperatures of the steaks, T₂ = 5°c
Explanation:
See attached images for steps 2, 3, 4 and 5