A 4-pole, 3-phase induction motor operates from a supply whose frequency is 60 Hz. calculate: 1- the speed at which the magnetic
1 answer:
Answer:
The answer is below
Explanation:
A 4-pole, 3-phase induction motor operates from a supply whose frequency is 60 Hz. calculate: 1- the speed at which the magnetic field of the stator is rotating. 2- the speed of the rotor when the slip is 0.05. 3- the frequency of the rotor currents when the slip is 0.04. 4- the frequency of the rotor currents at standstill.
Given that:
number of poles (p) = 4, frequency (f) = 60 Hz
1) The synchronous speed of the motor is the speed at which the magnetic field of the stator is rotating. It is given as:
2) The slip (s) = 0.05
The speed of the motor (n) is the speed of the rotor, it is given as:
3) s = 0.04
The rotor frequency is the product of the supply frequency and slip it is given as:
4) At standstill, the motor speed is zero hence the slip = 1:
The rotor frequency is the product of the supply frequency and slip it is given as:
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Answer:
A) ε_x = 0.0075
B) ε_y = 0.00375
C) γ_xy = 0.0122 rad
Explanation:
We are given;
δ = 0.03 in
L = 4 in
ν_r = 0.5
θ = 89.3° = 89.3π/180 rad
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Thus, ε_x = δ/L = 0.03/4 = 0.0075
Let's calculate ε_y in the direction of axis y;
ε_y = v•ε_x = 0.5 x 0.0075 = 0.00375
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γ_xy = π/2 - θ = π/2 - 89.3π/180
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Answer:
The convective coefficient is 37.3 W/m²K.
Explanation:
Use Newton’s law of cooling to determine the heat transfer coefficient. Assume there is no heat transfer from the ends of electric resistor. Heat is transferred from the resistor curved surface.
Step1
Given:
Diameter of the resistor is 2 cm.
Length of the resistor is 16 cm.
Current is 5 amp.
Voltage is 6 volts.
Resistor temperature is 100°C.
Room air temperature is 20°C.
Step2
Electric power from the resistor is transferred to heat and this heat is transferred to the environment by means of convection.
Power of resistor is calculated as follows:
P=VI
P= 30 watts.
Step3
Newton’s law of cooling is expressed as follows:
Here, h is the convection heat coefficient and is the exposed surface area of the resistor.
Substitute the values as follows:
h = 37.3 W/m²K.
Thus, the convective coefficient is 37.3 W/m²K.