HELP:moment of inertia/angular momentum

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In summary, a ball with a radius of 0.4 meters and a density of 1.7 kG/cubic meter is rolling at a speed of 11.1 meters/sec on a rough horizontal plane. Its angular momentum can be calculated by first finding its mass (0.4557kg) and then using the formula I=(2/5)MR^2 to get 0.02917. From there, the angular velocity (w) can be found by dividing the linear velocity by the radius (11.1/0.4 = 27.75). The final answer for the angular momentum is 0.809 Joule.secs. However, this answer may be incorrect as the axis of rotation needs
  • #1
buffgilville
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A solid ball of radius 0.4 meters, made from a material of density 1.7 kG/cubic meter, rolls along a rough horizontal plane with a speed of 11.1 meters/sec. What is its angular momentum (in Joule.secs)?

density = mass/volume and volume of a sphere = (4/3)(pi)(r)^3
so the mass is 0.4557kg

I=(2/5)MR^2 ---> (2/5)*0.4557*(0.4)^2 = 0.02917

w=v/r ---> 11.1/0.4 = 27.75
L=Iw ---> 0.02917*27.75 = 0.809

Student response 0.809
Correct answer 2.83
 
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  • #2
You have to change the axis of rotation to the contact point of the ball with the plane. It's 2/5mr^2 + mr^2. This will give you the correct answer.
 
  • #3
"A solid ball of radius 0.4 meters, made from a material of density 1.7 kG/cubic meter, rolls along a rough horizontal plane with a speed of 11.1 meters/sec. What is its angular momentum (in Joule.secs)?"

Cartoonkid has given you the approah they're probably after.
However, as it stands, this question is completely meaningless.
Angular momentum is computed RESPECTIVE to a point. If you haven't been given that, then the exercise is flawed.
 

What is moment of inertia/angular momentum?

Moment of inertia is a measure of an object's resistance to changes in its rotation, while angular momentum is a measure of the amount of rotational motion an object has. They are related to each other and are important concepts in physics.

How is moment of inertia/angular momentum calculated?

The moment of inertia of an object depends on its mass, shape, and distribution of mass. It is calculated by multiplying the mass of each individual component of the object by the square of its distance from the axis of rotation. Angular momentum is calculated by multiplying the moment of inertia by the angular velocity (the rate at which the object is rotating).

What is the significance of moment of inertia/angular momentum?

Moment of inertia and angular momentum are important in understanding the behavior of rotating objects, such as planets, stars, and even subatomic particles. They help us understand how these objects move and how they interact with each other.

How does moment of inertia/angular momentum affect an object's motion?

Moment of inertia and angular momentum affect an object's rotational motion. An object with a larger moment of inertia will be more difficult to rotate, while an object with a larger angular momentum will be more difficult to stop from rotating.

Can moment of inertia/angular momentum be changed?

Yes, the moment of inertia and angular momentum of an object can be changed by altering its mass, shape, or distribution of mass. External forces, such as torque, can also change an object's moment of inertia and angular momentum.

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