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
hodyreva [135]
3 years ago
14

The tensions in the rope are 12 n and 10 n . What is the angular acceleration of the pulley?

Physics
1 answer:
Alinara [238K]3 years ago
3 0

Answer:

\mathbf{\alpha = 16.06 \ rad/s^2}

Explanation:A  \ frictionless \  pulley,  \ whic h\  can \  be  \ modeled  \ as  \ a  \ 0.83 k  g \  solid \ cylinder \  with \  a \  0.30 \  m \  radius,  \  has \  a  \ rope \  going \  over  \  it The \  tensions  \ in   \ the \  rope  \ are \ 12 n \  and \  10 n .   \ What \  is \  the \  angular  \ acceleration  \ of \  the \  pulley?

From \ the \ given \ information:

The \  moment \  of  \ inerti a \  of \  a \  solid \  cylinder I = \dfrac{1}{2}mr^2

I = \dfrac{1}{2}(0.83)(0.3)^2

I = 0.03735 \ kg \ m^2

The \ net \ torque = F_1(r) - F_2(r)  \\ \\  =  12(0.3) - 10(0.3)  \\  \\ = 0.6 \ N.m

Torque (T) = moment \ of \inertia (I) \times angular \ acceleration ( \alpha)

\alpha = \dfrac{T}{I}

\alpha = \dfrac{0.6  \ Nm}{0.03735 \ kg \ m^2}

\mathbf{\alpha = 16.06 \ rad/s^2}

You might be interested in
A car takes 10 s to go from v = 0 m/s to v = 25 m/s at constant acceleration. If you wish to find the distance traveled using th
german

Initial velocity (u) = 0 m/s

Final velocity (v) = 25 m/s

time taken (t) = 10s

acceleration (a) = ?

Now,

Acceleration is rate of change of velocity, so formula is

a = (v - u)/t

a = (25 - 10)/10

a = 15/10

a = 1.5 m/(s^2)

Use this value of a.

5 0
4 years ago
Which statement is most likely correct?
Len [333]

it's either the first or second choice

6 0
3 years ago
Read 2 more answers
Plz help me on science about cells
tatuchka [14]
Cell theory states that all living things are made of cells. And cells can only come from other cells, this disproves spontaneous generation and therefore proves the view that organisms can grow from food or dirt is wrong.
6 0
3 years ago
8. Consider a capacitor that is made of two large conducting plates that are rectangular in shape (1 cm by 6 cm), aligned parall
Annette [7]

Answer: 7.96\ \mu C

Explanation:

Given

The dimension of the plate is 1\ cm\times 6\ cm

The gap between the plate is 0.001\ cm

Voltage applied V=15,000\ V

The capacitance of the capacitor is

C=\dfrac{\epsilon_o A}{d}\\\\C=\dfrac{8.85\times 10^{-12}\times 1\times 6\times 10^{-4}}{10^{-5}}\\\\C=53.1\times 10^{-11}\ F

Charge acquired by the capacitor

\Rightarrow Q=CV\\\Rightarrow Q=53.1\times 10^{-11}\times 15,000\\\Rightarrow Q=796.5\times 10^{-8}\\\Rightarrow Q=7.96\times 10^{-6}\ C

6 0
3 years ago
A ball starts to roll up a slope with a slope with a velocity of 5m/s and comes to a stop after rolling 5.0m up the slope. Assum
Novay_Z [31]
0000000000000000000000000000000
8 0
3 years ago
Other questions:
  • A golf ball was thrown with a speed of 25 m/sec at an angle of 65° above the horizontal. What is the horizontal distance travele
    12·1 answer
  • Which of the following will cause acceleration?
    8·1 answer
  • A plumber heats a plastic pipe, softens it, shapes it, and then lets it cool. After it is hardened, the
    12·1 answer
  • NEED IT ASAP PLEASE 3 examples of how we use physics in our everyday life. Please explain throughly.
    8·1 answer
  • 2. Two toy cars are involved in a race. Car A has mass m while car B has mass 2m. a. The two cars have the same force applied to
    8·1 answer
  • An object of mass 2 kg rests on the floor, as shown in the picture. A force of 45 N, making an angle of 60° to the vertical, is
    6·1 answer
  • A 10.0 L tank contains 0.329 kg of helium at 28.0 ∘C. The molar mass of helium is 4.00 g/mol . Part A How many moles of helium a
    8·1 answer
  • Plzzzzzzzz helppppp plzzzzzz
    5·1 answer
  • The speed of a star, can you measure it? Is it constant?
    7·1 answer
  • Please help me solve this and give an explanation​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!