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
Margarita [4]
3 years ago
5

Disk A has a mass of 8 kg and an initial angular velocity of 360 rpm clockwise; disk B has a mass of 3.5 kg and is initially at

rest. The disks are brought together by applying a horizontal force of magnitude 20 N to the axle of disk A. Assume that μk = 0.15 between the disks. Neglect bearing friction.
Required:
Determine:
a. the angular acceleration of each disk.
b. the final angular velocity of each disk.

Engineering
2 answers:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

a. the angular acceleration of each disk;

For disk A, the angular acceleration is 9.36 rad/s²

For disk B, the angular acceleration is 28.57 rad/s²

b. the final angular velocity of each disk;

For disk A, the final angular velocity is 250.57 rpm

For disk A, the final angular velocity is 334.00 rpm

Explanation:

While slipping occurs, and upward friction force F is applied to disk A, and downward friction force F to disk B.

Assumption;

Radius of disk A is 80 mm

Radius of disk B is 60 mm.

Pls find the explanation of the question in the attached files as typing it here may be difficult due to the equations and diagrams involved.

garri49 [273]3 years ago
4 0

Answer:

A. αa= 9.375 rad/s^2, αb= 28.57 rad/s^2

B. ωa=251rpm, ωb=333rpm

Explanation:

Mass of disk A, m1= 8kg

Mass of disk B, m2= 3.5kg

The initial angular velocity of disk A= 360rpm

The horizontal force applied = 20N

The coefficient of friction μk = 0.15

While slipping occurs, a frictional force is applied to disk A and disk B

T= 1/2Mar^2a

T=1/2 (8kg) (0.08)^2

T= 0.0256kg-m^2

N=P=20N

F= μN

F= 0.15 × 20

F=3N

We have

Summation Ma= Summation(Ma) eff

Fra= Iaαa

(3N)(0.08m)= (0.0256kg-m^2)α

αa= 9.375 rad/s^2

The angular acceleration at disk A is αa= 9.375 rad/s^2 is acting in the anti-clockwise direction.

For Disk B,

T= 1/2Mar^2a

T= 1/2(3.5) (0.06)^2

=0.0063kg-m^2

We have,

Summation Mb= Summation(Mb) eff

Frb= Ibαb

(3N)(0.06m)= (0.0063kg-m^2) α

αb= 28.57 rad/s^2

B) ( ωa)o= 360rpm(2 pi/60)

= 1 pi rad/s

The disk will stop sliding where

ωara=ωbrb

(ωao-at)ra=αtr

(12pi-9.375t) (0.08)=28.57t(0.06)

(37.704-9.375t)(0.08)= 1.7142t

3.01632-0.75t= 1.7142t

t=1.22s

Now,

ωa=(ωa)o- t

12pi - 9.375(1.22)

37.704-11.4375

=26.267 rad/s

26.267× (60/2pi)

= 250.80

251rpm

The angular velocity at a, ω= 251rpm

Now,

ωb= αbt

=28.57(1.22)

=34.856rad/s

34.856rad/s × (60/2pi)

=332.807

= 333rpm

Therefore the angular velocity at b ω=333rpm

You might be interested in
What are the three most common types of relearn procedures?
WITCHER [35]

Answer:

The three types of relearn procedures are auto relearn, stationary and OBD.

Explanation:

In TPMS system, after the direct service like adjustment of air pressure, tire rotation or replacement of sensors etc, is performed then maximum vehicle  often needs TPMS system relearn that needs to be performed.

For performing these relearn procedure, there are mainly three types:

  1. auto relearn
  2. stationary relearn
  3. OBD

After applying the relearn process, the TPMS system will again be in proper function.

8 0
3 years ago
The minimum requirements for engineering documents are enumerated in
vladimir1956 [14]

Answer:

The answer will be Rule 61G15-23 F.A.C, relating to Seals.

Explanation:

According to the description given by: Florida administrative code&Florida administrative register the Minimum requirements for engineering documents are in the section 'Final 61G15-23'  from 11/3/2015. This document provides specifications of materials required for the safe operation of the system that is the result of engineering calculations, knowledge and experience.

8 0
3 years ago
How did ancient machines pave the way for improvement
Leno4ka [110]

Answer:

----------

Explanation:

Ancient machines have paved the way for improvement by being the foundation for change. these machines made it possible to find flaws so in the next generations, they could fix, develop, and produce better quality machines. eventually this process has reached the present time but after today, the process will continue to produce even better quality machines than the time before. I hope this helps!

4 0
3 years ago
Match the types of AI to the correct automation tasks.
Maru [420]

Answer:

Theory of Mind : A robotic head has a face that recognizes and simulates emotions.

Self aware : A robot tries to protect itself from harm

Purely Reactive : A door automatically opens when a person steps in front of it.

Limited Memory : A personal assistant software tracks a persons travel routes and suggests shorter routes.

Explanation:

Artificial intelligence is simply a technology which enables automation. It enables system perform task without being explicitly controlled. Purely reactive systems do not store Data in memory, it simply observes what going on at the moment which is what it was programmed to do and takes a step. One the machine detects someone approaching up to a certain distance, it opens.

Limited Memory systems store information about the past and this enhances its Decison making, prediction engines, self driving cars use this kind of artificial intelligence.

Theory of Mind : Here, systems are trained to detect, understand and replicate what is understood. Once the robot identifies an emotion, it replicates it.

Self - Aware : An advanced level of AI, where systems will not only be able to replicate what they see, but also make conscious decisions as to which action to take in different circumstances.

5 0
3 years ago
Is an isothermal process necessarily internally reversible? Explain your answer with an example
torisob [31]

Answer:

please give me brainlist and follow

Explanation:

Example of an irreverseble isothermal process is mixing of two fluids on the same temperature - it requires a lot of energy to unmix Jack and coke. ... Example of an reversible process with changing temperature is isentropic expansion.

5 0
2 years ago
Other questions:
  • In a study comparing banks in Germany and Great Britain, a sample of 145 matched pairs of banks was formed. Each pair contained
    12·1 answer
  • What does the following program segment do? Declare Count As Integer Declare Sum As Integer Set Sum = 0 For (Count = 1; Count &l
    15·1 answer
  • What is the steady-state value of the output of a system with transfer function G(s)= 6/(12s+3), subject to a unit-step input?
    5·1 answer
  • A double-pane insulated window consists of two 1 cm thick pieces of glass separated by a 1.8 cm layer of air. The window measure
    7·1 answer
  • 2. One of the many methods used for drying air is to cool the air below the dew point so that condensation or freezing of the mo
    12·1 answer
  • 1. Using a typical frequency value for the initiating event and PFD values provided in class lectures, estimate the mishap or co
    6·1 answer
  • Estimate the uncertainty in a 22 m/sec air velocity measurement using a Pitot tube at 20C. Assume the atmospheric pressure is 1
    7·1 answer
  • What effect will increasing numbers of high-profile green building projects likely have on thinking about building?
    5·1 answer
  • The section should span between 10.9 and 13.4 cm (4.30 and 5.30 inches) as measured from the end supports and should be able to
    5·1 answer
  • What is the difference between class 1 and class 3 lever?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!