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
IgorLugansk [536]
3 years ago
5

Two objects, M = 15.3 ks and m = 8.29 kg are connected with an ideal string and suspended by a pulley (which rotates with no fri

ction) in the shape of a uniform disk with radius R = 7.50 cm and mass Mp = 14.1 kg. The string causes the pulley to rotate without slipping. If the masses are started from rest and allowed to move 2.50 m: What is the final speed (m/s) of mass m? What is the final angular speed (rad/s) of the pulley? How long (s) did it take for the masses to move from rest to the final position? Part (a) can be done by two methods: Forces and torques and energy conservation.
Physics
1 answer:
Scilla [17]3 years ago
5 0

Answer:

(a) 7 m/s

(b) 931 rad/s

(c) 0.716 s

Explanation:

Gravity would be exerting on the 2 masses

G_1 = Mg = 15.3*9.81 = 150.093N

G_2 = mg = 8.29*9.81= 81.32N

Since heavier, mass 1 (M) would be the one pulling down, while mass 2 is being pulled up.

So the net force on mass 1 is

F = G_1 - G_2 = 68.77N

This force would generate torque on the solid pulley

T = FR = 68.77 * 0.0075 = 0.5158 Nm

We can also calculate the pulley moments of inertia, with it being solid

I = 0.5MpR^2 = 0.5*14.1*0.0075^2 = 0.000396563kgm^2

From there we can calculate the angular acceleration of the pulley, which generates the entire system motion

\alpha = \frac{T}{I} = \frac{0.5158}{0.000396563} = 1300.58 rad/s^2

Since the system is moved by a distance of d = 2.5m, the pulley would have turn an angle of

\theta = \frac{d}{R} = \frac{2.5}{0.0075} = 333 rad

(c)The time it takes to get to this distance is

\theta = \frac{\alpha t^2}{2}

t^2 = \frac{2\theta}{\alpha} = \frac{2*333}{1300.58} =0.513

t = \sqrt{0.513} = 0.716s

(b)The final angular speed of the disk is

\omega = \alpha t = 1300.58*0.716 = 931 rad/s

(a) And so the perimeter speed of the pulley, which is also speed of mass 1 when it comes to d = 2.5 m is

v = \omega R = 931*0.0075 \approx 7m/s

You might be interested in
Describe four energy changes that happen in the process.
musickatia [10]

Driving a motor........

chemical energy is converted into kinetic energy.

Falling off of cliff

.........gravitational potential energy is converted into kinetic energy.

Hydroelectric energy generation

.......gravitational potential energy is converted into kinetic energy (i.e. driving a generator), which is then converted into electrical energy.

Nuclear power generation

.........mass is converted into energy, which then drives a steam turbine, which is then converted into electrical energy.

7 0
3 years ago
Solenoid constructed with 50 turns of wire and has inductance L. if we made another solenoid identical in length and cross secti
Vlad [161]

Answer:

It would have an inductance closest to 16 L.

Explanation:

Inductance for a one solenoid can be calculated with a formula following:

L=μ*N^2*A/l

Then, in this situation we are increasing the number of turns by 4 without any length change. First solenoid with 50 turn has inductance L which is:

L= μ*50^2*A/l=2500*μ*A/l

When we increase the number of turns by four, it will increase to:

L'=μ*200^2*A/l=40000*μ*A/l=16 L

6 0
3 years ago
When you voice the vowel sound in "hat," you narrow the opening where your throat opens into the cavity of your mouth so that yo
xz_007 [3.2K]

Answer: 0.1 m, 0.0583 m

Explanation:

We are given that:

Frequency for throat= 800 Hz

Frequency for mouth= 1500 Hz

Sound speed= 350 m/s

We have to find the corresponding lengths.

We have

f= \frac{v}{4L}

or L=\frac{v}{4f}

For the throat= L= \frac{350}{4*800\\} = 0.1 m

For the mouth= L= \frac{350}{4*1500} = 0.0583 m

3 0
3 years ago
you push a ball to star it rolling along a "perfectly frictionless" surface. How far will the ball roll
-BARSIC- [3]
Technically, it should roll forever.
6 0
3 years ago
Will give brainliest to right answer!
viva [34]
The correct answer is D.
8 0
3 years ago
Other questions:
  • a 0.24 kg blob of clay is thrown at a wall with an initial velocity of 19m/s. the clay comes to a stop against the wall in 82ms,
    15·1 answer
  • Which of the following describes what needs to occur in order to reduce force while doing the same amount of work?
    6·1 answer
  • A sailor strikes the side of his ship just below the surface of the sea. he hears the echo of the wave reflected from the ocean
    6·1 answer
  • A 75-g bullet is fired from a rifle having a barrel 0.580 m long. Choose the origin to be at the location where the bullet begin
    12·1 answer
  • Why is it impossible to "defy gravity“?
    8·1 answer
  • Elements have the same number of ______ as you move from left to right
    15·2 answers
  • Can someone please arrange the three mediums in order of least to the most density?
    5·1 answer
  • What is the density of iron if 5.0 cm^3 has a mass of 39.5 g
    11·2 answers
  • Please help!!! I have no idea what to do?
    13·1 answer
  • Which two statements are true of electromagnetic waves?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!