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
kolezko [41]
3 years ago
15

) The angular acceleration of the disk is defined by ???? = 3t 2 + 12 rad/s, where t is in seconds. If the disk is originally ro

tating at ????0 = 12 rad/s. a) Determine the angular motion when t = 2 s. b) Determine the magnitude of the velocity of point A on the disk when t = 2 s. c) Determine the normal and tangential components of acceleration of point A on the disk when t = 2 s.
Physics
1 answer:
pshichka [43]3 years ago
6 0

Answer:

a) \theta = 52\,rad, b) v_{A} = 44\cdot r \,\frac{m}{s}, c) a_{A,n} = 1936\cdot r\,\frac{m}{s^{2}}, a_{A,t} = 24\cdot r\,\frac{m}{s^{2}}

Explanation:

a) The angular motion is obtained by integrating the angular acceleration function twice:

\alpha = 3\cdot t^{2} + 12

\omega = t^{3} + 12\cdot t + 12

\theta = \frac{1}{4}\cdot t^{4} + 6\cdot t^{2} + 12\cdot t

The angular motion when t = 2 s. is:

\theta = \frac{1}{4}\cdot (2\,s)^{4} + 6\cdot (2\,s)^{2} + 12\cdot (2\,s)

\theta = 52\,rad

b) Let be r the distance between A and the rotation axis, measured in meters. The magnitude of the angular velocity when t = 2 s. is:

\omega = (2\,s)^{3} + 12\cdot (2\,s) + 12

\omega = 44\,\frac{rad}{s}

Finally, the magnitude of the velocity is:

v_{A} = 44\cdot r \,\frac{m}{s}

c) The angular acceleration of the disk when t = 2 s. is:

\alpha = 3\cdot (2\,s)^{2} + 12

\alpha = 24\,\frac{rad}{s^{2}}

Lastly, the normal and tangential components at point A are, respectively:

a_{A,n} = \omega^{2}\cdot r

a_{A,n} = \left(44\right)^{2}\cdot r

a_{A,n} = 1936\cdot r\,\frac{m}{s^{2}}

a_{A,t} = \alpha \cdot r

a_{A,t} = 24\cdot r\,\frac{m}{s^{2}}

You might be interested in
When a student stands on a rotating table
gregori [183]

Answer:

you

Explanation:

7 0
2 years ago
Read 2 more answers
cell membranes contain channels that allow K + ions to leak out consider channel that has diameter of nm and length of nm if cha
DochEvi [55]

Answer:

Resistivity (rho) = Resistance (G) * Area (\pi r^2) / Length (nm)

Explanation:

if rho is the resistivity, then according to the proper equation re-arrangement the resistance is G. Then, Area can be calculated by radius and dividing their product by the length of channel.

4 0
3 years ago
4. A spring is stretched 0.5 m from equilibrium. The force constant (k) of the
makkiz [27]

Answer:

31.25

Explanation:

The formula for the potential energy of a spring is \frac{1}{2}kx^2, where x is the distance in meters the spring is stretched. Plugging in the numbers that you are given, you get \frac{1}{2}\cdot 250\cdot 0.25=31.25. Hope this helps!

8 0
3 years ago
Read 2 more answers
Why are food and water the limiting factors that usually have the greatest effect on population size?
maw [93]
Because if you have a large population, there is a need for more food and water, but if you don't have enough food and water to support a large population, that limits it from happening
5 0
3 years ago
What are input energy and output energy?​
makkiz [27]

Answer:

Explanation:

Input​ refers to the amount of energy put into a device, and ​ output​ refers to the amount of energy that comes out. A device may change the type of energy but not the amount. For example, a light bulb's input energy is the form of electrical energy, and its output energy is in the form of light and heat. Efficiency.

3 0
3 years ago
Other questions:
  • Radiation transfers energy by moving matter. Please select the best answer from the choices provided T F
    13·1 answer
  • A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provid
    8·1 answer
  • To apply the principle of superposition to overlapping waves, you should _____ of the individual waves.
    15·1 answer
  • A person would have a different weight on each planet. Arrange the planets in increasing order based on a person’s weight on the
    10·2 answers
  • Two points in a plane have polar coordinates (3.00 m, 20.0°) and (3.50 m, 140.0°). (a) Determine the Cartesian coordinates of th
    11·2 answers
  • ¿Por qué es útil comprender tu condición física?
    15·1 answer
  • A conditioning program should begin at a low to moderate level. True or False
    13·1 answer
  • The diagram represents Earth in its orbit around the Sun and the Moon (M) in different positions in its orbit around Earth. Lett
    11·1 answer
  • 4. A 180 kg sumo wrestler on roller skates, rolling at 5 m/s to the left, collides elastically with
    6·1 answer
  • Sydney Runs at 5m/s grabs a rope at the ground, how high does he swing?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!