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
Svetach [21]
3 years ago
9

A torque of 36.5 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result

of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 10.3 rad/s. After 6.10 s the directed force is removed, and the wheel comes to rest 60.6 s later.
(a) What is the wheel's moment of inertia (in kg m2)? kg m
(b) What is the magnitude of the torque caused by friction (in N m)? N m
(c) From the time the directed force is initially applied, how many revolutions does the wheel go through?
______ revolutions
Physics
1 answer:
vivado [14]3 years ago
3 0

Answer:

21.6\ \text{kg m}^2

3.672\ \text{Nm}

54.66\ \text{revolutions}

Explanation:

\tau = Torque = 36.5 Nm

\omega_i = Initial angular velocity = 0

\omega_f = Final angular velocity = 10.3 rad/s

t = Time = 6.1 s

I = Moment of inertia

From the kinematic equations of linear motion we have

\omega_f=\omega_i+\alpha_1 t\\\Rightarrow \alpha_1=\dfrac{\omega_f-\omega_i}{t}\\\Rightarrow \alpha_1=\dfrac{10.3-0}{6.1}\\\Rightarrow \alpha_1=1.69\ \text{rad/s}^2

Torque is given by

\tau=I\alpha_1\\\Rightarrow I=\dfrac{\tau}{\alpha_1}\\\Rightarrow I=\dfrac{36.5}{1.69}\\\Rightarrow I=21.6\ \text{kg m}^2

The wheel's moment of inertia is 21.6\ \text{kg m}^2

t = 60.6 s

\omega_i = 10.3 rad/s

\omega_f = 0

\alpha_2=\dfrac{0-10.3}{60.6}\\\Rightarrow \alpha_1=-0.17\ \text{rad/s}^2

Frictional torque is given by

\tau_f=I\alpha_2\\\Rightarrow \tau_f=21.6\times -0.17\\\Rightarrow \tau=-3.672\ \text{Nm}

The magnitude of the torque caused by friction is 3.672\ \text{Nm}

Speeding up

\theta_1=0\times t+\dfrac{1}{2}\times 1.69\times 6.1^2\\\Rightarrow \theta_1=31.44\ \text{rad}

Slowing down

\theta_2=10.3\times 60.6+\dfrac{1}{2}\times (-0.17)\times 60.6^2\\\Rightarrow \theta_2=312.03\ \text{rad}

Total number of revolutions

\theta=\theta_1+\theta_2\\\Rightarrow \theta=31.44+312.03=343.47\ \text{rad}

\dfrac{343.47}{2\pi}=54.66\ \text{revolutions}

The total number of revolutions the wheel goes through is 54.66\ \text{revolutions}.

You might be interested in
What appliances use electromagnets
Svetlanka [38]
Electromagnets are used in home appliances quite regularly and are used even in simple home appliances. Common home appliances that use electromagnets are toasters, printers, and microwave ovens. Electromagnets are a certain type of magnet that does not function unless an electrical current flows through it. These appliances create the magnetic field by flowing electricity through certain parts of the appliance. 
4 0
3 years ago
Gary saved dimes and nickels at a ratio of 5:7. Then, he saved 20% more dimes and 3 times the original number of nickels. If he
TiliK225 [7]

Answer:

i think 53 or 56

Explanation:

cause i cross multiplied and got that

8 0
3 years ago
Read 2 more answers
I need someone that has a course hero subscription to help me I need all the pages
SVETLANKA909090 [29]

Answer:

So what's the answer???

Explanation:

8 0
3 years ago
When a chemical reaction occurs,
mel-nik [20]
A) reactants interact to form products with different chemical and physical properties
3 0
3 years ago
Need help please!! I literally am dumb and can’t do this
natta225 [31]

Answer:

The answer should be A and B. I don't fully know so don't quote me on that! Haha.

Explanation:

6 0
3 years ago
Other questions:
  • A canoe has a velocity of 0.40 m/s southeast relative to the earth. The canoe is on a river that is flowing 0.50 m/s east relati
    8·1 answer
  • Under the Neutrality Acts, all of the following conditions were agreed to except which?
    10·1 answer
  • How much work is done by the force lifting a
    5·1 answer
  • If an object gains an additional 5 m/s of speed every second, the object is?
    8·2 answers
  • Which form of energy is due to an object's motion?
    14·2 answers
  • What does a refractive index from medium 1 to medium 2 mean? Isn't one of the medium must be vacuum?
    6·1 answer
  • State keplers law........​
    8·1 answer
  • PLS HELP ME!!!
    5·1 answer
  • I need help solving my homework problem , can somebody help me please . This class is physics two . My question is “ where the p
    10·1 answer
  • The cylinder valve is open and the gas is collected and atmospheric pressure
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!