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
Romashka [77]
2 years ago
5

A uniform disk with radius 0.650 m

Physics
1 answer:
VashaNatasha [74]2 years ago
3 0

Answer:

a = 13.758\,\frac{m}{s^{2}}

Explanation:

First, the instant associated to the angular displacement is:

(1.10\,\frac{rad}{s} )\cdot t + (6.30\,\frac{rad}{s^{3}} )\cdot t^{2} - 0.628\,rad = 0

Roots of the second-order polynomial are:

t_{1} \approx 0.240\,s, t_{2} \approx -0.415\,s

Only the first root is physically reasonable.

The angular velocity is obtained by deriving the angular displacement function:

\omega (0.240\,s) = 1.10\,\frac{rad}{s}+ (12.6\,\frac{rad}{s^{2}})\cdot (0.240\,s)

\omega (0.240\,s) = 4.124\,\frac{rad}{s}

The angular acceleration is obtained by deriving the previous function:

\alpha (0.240\,s) = 12.6\,\frac{rad}{s^{2}}

The resultant linear acceleration on the rim of the disk is:

a_{t} = (0.650\,m)\cdot (12.6\,\frac{rad}{s^{2}} )

a_{t} = 8.190\,\frac{m}{s^{2}}

a_{n} = (0.650\,m)\cdot (4.124\,\frac{rad}{s} )^{2}

a_{n} = 11.055\,\frac{m}{s^{2}}

a = \sqrt{a_{t}^{2}+a_{n}^{2}}

a = 13.758\,\frac{m}{s^{2}}

You might be interested in
Liz rushes down onto a subway platform to find her train already departing. she stops and watches the cars go by. each car is 8.
Snezhnost [94]

 

The average velocity can be calculated using the formula:

v = d / t

For the 1st car, the velocity is calculated as:

v1 = 8.60 m / 1.80 s = 4.78 m / s

While that of the 2nd car is:

v2 = 8.60 m / 1.66 s = 5.18 m / s

 

Now we can solve for the acceleration using the formula:

v2^2 = v1^2 + 2 a d

Rewriting in terms of a:

a = (v2^2 – v1^2) / 2 d

a = (5.18^2 – 4.78^2) / (2 * 8.6)

a = 0.23 m/s

 

Therefore the train has a constant acceleration of about 0.23 meters per second.

5 0
3 years ago
A farm tractor tows a 3300-kg trailer up a 14" incline with a steady speed of 2.8 m/s. what force does the tractor exert on the
gladu [14]

The force exerted by gravity is:

F = m g

F = 3300 kg * 9.8 m/s^2

F = 32,430 N

 

The force exerted due to the inclined plane is:

F tractor = 32,430 N * sin 14

<span>F tractor = 7,823.75 N      (answer)</span>

7 0
2 years ago
When the top right-hand capacitor is filled with a material of dielectric constant κ, the charge on this capacitor is increases
Olin [163]

Answer: k = 2.07692

Explanation: Please find the attached files for the solution

6 0
3 years ago
Read 2 more answers
5
Tanya [424]

Answer:

Reset

Explanation:

Digital methods are the methods that are uses methodological outlook to study societal change and cultural condition of online data. Reset is use to disguise data In digital methods. It is use to set again and conceal data by giving the data a different form. It restores the device to the original manufacture's settings.

8 0
3 years ago
A person wearing a shoulder harness can survive a car crash if the acceleration is smaller than -300 m/s . assuming constant acc
mars1129 [50]

To solve this problem, we use the equation:

<span>d = (v^2  - v0^2) / 2a</span>

 

where,

d = distance of collapse

v0 = initial velocity = 101 km / h = 28.06 m / s

v = final velocity = 0

a = acceleration = - 300 m / s^2

 

d = (-28.06 m / s)^2 / (2 * - 300 m / s^2)

<span>d = 1.31 m</span>

3 0
3 years ago
Other questions:
  • What is a tornado? Details
    6·2 answers
  • Traditional Indonesian music uses an ensemble called a gamelan that is based on tuned percussion instruments somewhat like gongs
    15·1 answer
  • The total energy in a system is 675 J. The kinetic energy changes from 296 to 432 J. Which statement best describes the potentia
    6·2 answers
  • If 1.4% of the mass of a human body is calcium, how many kilograms of calcium are there in a 195-pound man?
    15·2 answers
  • What is the relationship between atmospheric pressure and the density of gas particles in an area of decreasing pressure? (2 poi
    9·2 answers
  • A scientific theory provides an explanation of observed
    5·1 answer
  • It took 500 N of force to push a car 4 meters. How much work was done?
    6·1 answer
  • A spring with a spring constant of 2.5 N/m is stretched by 2
    7·1 answer
  • Find the speed of a wave (in meters/second) whose wavelength is 4 meters and
    8·1 answer
  • The deepest section of ocean in the world is the Marianas Trench, located in the Pacific Ocean. Here the ocean floor is as low a
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!