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
emmasim [6.3K]
4 years ago
13

A uniform solid disk with a mass of 24.3 kg and a radius of 0.364 m is free to rotate about a frictionless axle. Forces of 90.0

N and 125 N are applied to the disk, as the drawing illustrates. (a) What is the net torque produced by the two forces? (Assume counterclockwise is the positive direction.)(b) What is the angular acceleration of the disk? rad/s2

Physics
1 answer:
a_sh-v [17]4 years ago
4 0

Answer:

a. -12.7 Nm

b. -7.9 rad/s^2

Explanation:

I have attached an illustration of a solid disk with the respective forces applied, as stated in this question.

Forces applied to the solid disk include:

F_1 = 90.0N\\F_2 = 125N

Other parameters given include:

Mass of solid disk, M = 24.3kg

and radius of solid disk, r = 0.364m

a.) The formula for determining torque (T), is T = r * F

Hence the net torque produced by the two forces is given as a summation of both forces:

T = T_{125} + T_{90}\\= -r(125)sin90 + r(90)sin90\\= 0.364(-125 + 90)\\= -12.7 Nm

b.)  The angular acceleration of the disk can be found thus:

using the formula for the Moment of Inertia of a solid disk;

I_{disk} = {\frac{1}{2}}Mr^2

where M = Mass of solid disk

and r = radius of solid disk

We then relate the torque and angular acceleration (\alpha) with the formula:

T = I\alpha \\-12.7 = ({\frac{1}{2}}Mr^2)\alpha \\\alpha  = -{\frac{12.7}{1.61}} = -7.9 rad/s^2

You might be interested in
At take off, a plane flies 100 km north before turning to fly 200 km east. How far is its destination from where the plane took
Snowcat [4.5K]
The answer is 300 km

To the destination
4 0
3 years ago
A rock displaces 1.65 L of water. The volume of the rock is:
Oksanka [162]

Answer:

According to Archimedes principle, volume of water displaced = volume of water.

Hence volume of rock is = 1.65L or 1650 cm^3

Explanation:

7 0
3 years ago
Satellites remain in orbit around earth because
svetoff [14.1K]
Earth's gravity and the satellite's velocity keeps it so that it stays in orbit. (there is a more complicated side, too...) 
3 0
3 years ago
What’s the opposite of an electron
Anna007 [38]
As its charge, proton -a positive charged molecule at the center of an atom- is the opposite of the electron -the particle which is orbiting the center of an atom.
7 0
3 years ago
Carol drops a stone in a mine shaft 122.5 metres deep.How
Verizon [17]

Answer:

 T = 5.36 s

Explanation:

given,

depth of the mine shaft = 122.5 m

speed of the sound = 340 m/s

time taken  = ?

time taken by the stone to reach at the bottom

using equation of motion

s = u t + \dfrac{1}{2}gt^2

initial speed , u = 0 m/s

t = \sqrt{\dfrac{2s}{g}}

t = \sqrt{\dfrac{2\times 122.5}{9.8}}

       t = 5 s

time taken by the sound to travel

    d =v x t

 t = \dfrac{d}{v}

 t = \dfrac{122.5}{340}

    t = 0.36 s

total time taken for the sound to reach carol after dropping the stone

T = 5 + 0.36

 T = 5.36 s

7 0
3 years ago
Other questions:
  • What would be the first thing you would do if your clothes caught fire while working in a laboratory? select one of the options
    12·1 answer
  • A cassette recorder uses a plug-in transformer to convert 120 V to 12.0 V, with a maximum current output of 200 mA. What is the
    10·1 answer
  • What was Einstein's theory of relativity?
    6·1 answer
  • A pair of narrow, parallel slits separated by 0.254 mm are illuminated by green light of wavelength 559 nm. An interference patt
    6·1 answer
  • A 1000kg truck traveling at 108km/h skids 10m before it stops. What is the magnitude of the frictional force acting on the car?
    8·1 answer
  • A circuit has a voltage drop of 12 V across a 30 2 resistor that carries a
    6·2 answers
  • You are driving on the highway at a speed of 40 m/s (which is over the speed limit) when you notice a cop in front of you. To av
    6·1 answer
  • Why is “soft” iron used for the core of an electromagnet?
    12·1 answer
  • An airplane flying at a speed of 130 mi/h (58.1 m/s) and at an altitude of 4.9 km drops a food package. Without a parachute, at
    12·1 answer
  • What is the difference between reflection and refraction? What changes and what does not change.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!