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
xxMikexx [17]
3 years ago
15

Consider the following four objects: a hoop, a flat disk, a solid sphere, and a hollow sphere. Each of the objects has mass M an

d radius R. The axis of rotation passes through the center of each object, and is perpendicular to the plane of the hoop and the plane of the flat disk. Which of these objects requires the largest torque to give it the same angular acceleration?
Physics
1 answer:
Mumz [18]3 years ago
4 0

Answer:

The hoop

Explanation:

We need to define the moment of inertia of the different objects, that is,

DISK:

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

HOOP:

I_{hoop} = mR^2

SOLID SPHERE:

I_{ss} = \frac{2}{5}mR^2

HOLLOW SPHERE

I_{hs} = \frac{2}{3}mR^2

If we have the same acceleration for a Torque applied, then

mR^2>\frac{2}{3}mR^2>\frac{1}{2} mR^2>\frac{2}{5}mR^2

I_{hoop}>I_{hs} >I_{disk}>I_{ss}

The greatest momement of inertia is for the hoop, therefore will require the largest torque to give the same acceleration

You might be interested in
A bicycle wheel rotates at a constant 25 rev/min. What is true about its angular acceleration?
Nostrana [21]

Answer:

The angular acceleration is zero

Explanation:

When an object is in rotational motion, it has a certain angular velocity, which is the rate of displacement of its angular position.

This angular velocity can change or remain constant - this is given by the angular acceleration, which is:

\alpha =\frac{\Delta \omega}{\Delta t}

where

\Delta \omega is the change in angular velocity

\Delta t is the time elapsed

Therefore, the angular acceleration is the rate of change of angular velocity.

In this problem, the bicycle rotates at a constant angular velocity of

\omega=25 rev/min

This means that the change in angular velocity is zero:

\Delta \omega=0

And so, that the angular acceleration is zero:

\alpha=0

8 0
3 years ago
A supply bag is dropped from a rescue plane. After the bag falls for 3.2 seconds , what is the velocity of the bag?
loris [4]

Answer: -31.36 m/s

Explanation:

This is a problem of motion in one direction (specifically vertical motion), and the equation that best fulfills this approach is:

V_{f}=V_{o}+a.t  (1)

Where:

V_{f} is the final velocity of the supply bag

V_{o}=0 is the initial velocity of the supply bag (we know it is zero because we are told it was "dropped", this means it goes to ground in free fall)

a=g=-9.8m/s^{2} is the acceleration due gravity (the negtive sign indicates the gravity is downwards, in the direction of the center of the Earth)

t=3.2s is the time

Knowing this, let's solve (1):

V_{f}=0+(-9.8m/s^{2})(3.2s)  (2)

Finally:

V_{f}=-31.36m/s  Note the negative sign is because the direction of the bag is downwards as well.

8 0
3 years ago
Where are bar magnets the strongest?
Alecsey [184]

Answer:

The magnetic field is strongest at the center and weakest between the two poles just outside the bar magnet. The magnetic field lines are densest at the center and least dense between the two poles just outside the bar magnet.

Explanation:

3 0
2 years ago
Read 2 more answers
Why is it not advisable to touch a canvas tent from inside when it is raining?​
Sauron [17]

Answer: When you touch wet canvas, surface tension will draw water to your finger. However, the drop left behind where you touched, like any irregular point on an overhead surface, will draw condensation from inside the tent if it is humid.

3 0
3 years ago
Light propagating in the glass n1= 1.65 wall of an aquarium tank strikes the interior edge of the wall with incidence angle 19.0
jonny [76]
We can solve this using Snell's Law which is represented by the equation:
sin θ₁ / sin θ₂ = n₂ / n₁

From the problem, we can substitute values and solve for the angle of refraction.
sin 19 / sin θ₂ = 1.65 / 1
θ₂ = 11.38°

The angle of refraction would be 11.38°.
3 0
2 years ago
Other questions:
  • what is the orbital speed for a satellite 3.5 x 10^8m from the center of mars? Mars mass is 6.4 x 10^23 kg
    10·1 answer
  • ASAP TWENTY POINTS What type of image is formed by a mirror if m = -0.4?
    12·1 answer
  • What is the correct defenition of velocity
    12·2 answers
  • NEED HELP ASAP!!!
    9·1 answer
  • What problems do you think might arise if the chromosomes did not align during metaphase?
    12·1 answer
  • If we assume that the metallic plates are perfect conductors, the electric field in their interiors must vanish. given that the
    11·1 answer
  • Why should you never use the coarse adjustment on high power
    9·1 answer
  • Which way will the object accelerate if the forces given are the following
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=%7B%5Chuge%5Cfcolorbox%7Bblue%7D%7Bblack%7D%7B%5Cpink%7B%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5
    7·1 answer
  • Different asteroids reflect different percentages of the light falling on them. This is due to the fact that they have different
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!