1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dangina [55]
3 years ago
12

A 3-phase induction motor with 4 poles is being driven at 45 Hz and is running in its normal operating range. When connected to

a certain load, the motor rotates at a speed of 1070 rpm and outputs 800W a. What is the slip and developed torque? b. What is the new slip and motor speed if the developed torque is reduced to 4 Nm?
Engineering
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

a) The slip for the given conditions is 0.2074 or 20.74% and the developed torque is 7.14 Nm.

b) The new slip after reducing the torque to 4 Nm is 0.1162 or 11.62% and the new motor speed is 1193.13 rpm.

Explanation:

In order to find the slip we can use the definition as the relative difference between Synchronous speed and the rotor speed and that the developed torque is the ratio between output power and rotor angular velocity.

Slip.

We can find the synchronous speed u sing the following formula

N_s =\cfrac{120f}p

Where f stands for the frequency and p the number of poles, so we have

N_s = \cfrac{120(45)}{4}\\N_s =1350 \,rpm

Replacing on the slip formula

S = \cfrac{N_s-N_r}{N_s}

we get

S = \cfrac{1350-1070}{1350}\\ S = 0.2074

Thus the slip for the given conditions is 0.2074 or 20.74%.

Developed torque.

We can find the angular velocity in radians per second

\omega_r =1070  \cfrac{rev}{min} \times \cfrac{1 \, min}{60 \, s}\times \cfrac{2\pi rad}{1 \, rev}\\\omega_r =112.05 \, \cfrac{rad}{s}

Thus we can replace on the torque formula

\tau = \cfrac{P}{\omega_r}\\\tau=\cfrac{800 W}{112.05 \, \cfrac{rad}{s}}

We get

\tau = 7.14\,  N m

The developed torque is 7.14 Nm.

Slip for the reduced torque.

The torque is proportional to the slip, so we can write

\cfrac{\tau_1}{\tau_2}= \cfrac{S_1}{S_2}

Thus solving for the new slip S_2 we have:

S_2 = S_1 \cfrac{\tau_2}{\tau_1}

Replacing the values obtained on the previous part we have

S_2 = 0.2074 \cfrac{4 Nm}{7.14 Nm}\\ S_2=0.1162

So the new slip after reducing the torque to 4 Nm is 0.1162 or 11.62%

Motor speed.

We can use the slip definition

S_2 =\cfrac{N_s-N_{r_2}}{N_s}

Solving for the motor speed we have

S_2N_s =N_s-N_{r_2}

N_{r_2}=N_s-S_2N_s \\N_{r_2}=N_s(1-S_2)

Replacing values we have

N_{r_2}=1350 \, rpm(1-0.1162)\\N_{r_2}=1193.13 rpm

The new motor speed is 1193.13 rpm.

You might be interested in
Sun of first 1 nayural numbers​
marin [14]

Answer:

the answer is

n(n + 1)  \div 2

n(n+1)/2

4 0
3 years ago
Read 2 more answers
Since the passing of the Utah GDL laws in 1999:
wlad13 [49]
The answer is b, I hope this helps you
7 0
3 years ago
True or false? if i were to hook up an ac voltage source to a resistor, the voltage drop across the resistor would be in phase w
hodyreva [135]

Answer: True

Explanation:

4 0
2 years ago
A furnace wall is to be built of 20-cm firebrick and building (structural) brick of same thickness. The thermal conductivities o
Norma-Jean [14]

Answer:

q=2313.04W/m^2

T=690.86°C

Explanation:

Given that

Thickness t= 20 cm

Thermal conductivity of firebrick= 1.6 W/m.K

Thermal conductivity of structural brick= 0.7 W/m.K

Inner temperature of firebrick=980°C

Outer temperature of structural brick =30°C

We know that thermal resistance

R=\dfrac{t}{KA}

These are connect in series

R=\left(\dfrac{t}{KA}\right)_{fire}+\left(\dfrac{t}{KA}\right)_{struc}

R=\dfrac{0.2}{1.6A}+\dfrac{0.2}{0.7A}\ K/W

R=\dfrac{23}{56A}\ K/W

Heat transfer

Q=\dfrac{\Delta T}{R}

Q=56A\times \dfrac{980-30}{23}\ W

So heat flux

q=2313.04W/m^2

Lets temperature between interface is T

Now by equating heat in both bricks

\dfrac{980-T}{\dfrac{0.2}{1.6A}}=\dfrac{T-30}{\dfrac{0.2}{0.7A}}

So T=690.86°C

6 0
3 years ago
What is CQ Thread Ball Valves​
hodyreva [135]
That is a thread ball valves

8 0
3 years ago
Read 2 more answers
Other questions:
  • A vehicle is moving at a velocity, v, given by v =12t - 3t2 ms-1. Use
    7·1 answer
  • The cross-section of a rough, rectangular, concrete() channel measures . The channel slope is 0.02ft/ft. Using the Darcy-Weisbac
    8·1 answer
  • The traffic lights are not functioning.
    7·1 answer
  • Which of the following describes what a manufacturing engineer does
    9·2 answers
  • Find the total present worth of a series of cash flows with an annual interest rate of 2% per year. Round your answer to the nea
    5·1 answer
  • Please read and an<br><br> 3. Many Jacks use hydraullc power.<br> A) O True<br> B) O False
    13·1 answer
  • Which of the following is a Dashboard Scoreboard for alignment of the business where information is constantly flowing through t
    5·1 answer
  • below is an attempt at implementing a circle class. the class should feature a constructor that takes a starting radius, a float
    13·1 answer
  • 1. A cylindrical casting is 0.3 m in diameter and 0.5 m in length. Another casting has the same metal is rectangular in cross-se
    11·1 answer
  • When starting up a dual fuel system, the temperature rise method for determining airflow cannot be used with the compressor cycl
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!