Putting rotating cylinder on the ground

The correct answer is 3.14 seconds.In summary, we have a cylinder with unknown mass and radius 0.1m rotating at an angular velocity of 10/s around its geometric axis on a horizontal surface. We need to determine the time it takes for the cylinder to roll without slipping, given a coefficient of friction of 0.1. Using the equations F=ma and M=J⋅∝, we can solve for the moment of inertia (J) and the acceleration of the center of mass (a*). The result is 3.14 seconds.
  • #1
srecko97
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Homework Statement


We put a cyllinder with unknown mass and radius 0.1m which rotates with angular velocity 10 /s around its geometric axis on the horizontal ground. After what time does the cyllinder roll without slipping? Coefficient of friction is 0.1.

Homework Equations


F=ma
M=J ⋅ ∝

The Attempt at a Solution


J- moment of inertia, k-coefficient of friction ... a* - acceleration of center of mass[/B]
image.jpg


image.jpg

The result should be 2.09 s. Please correct me!
 
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  • #2
Are you sure you've stated the problem correctly? Your answer looks right to me.
 
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  • #3
I have just realized that everything is OK except the value for angular frequency. The given frequency is not the angular (which I thought) but the usual frequency (number of turns per second)
 
  • #4
srecko97 said:
I have just realized that everything is OK except the value for angular frequency. The given frequency is not the angular (which I thought) but the usual frequency (number of turns per second)

Of course!
 
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FAQ: Putting rotating cylinder on the ground

1. What is the purpose of putting a rotating cylinder on the ground?

The purpose of putting a rotating cylinder on the ground is to study the effects of rotational motion on various surfaces, such as different types of terrain or materials. This can help researchers better understand the mechanics of rotating objects and how they interact with their surroundings.

2. How does the rotation of the cylinder affect the ground?

The rotation of the cylinder can cause friction, which can lead to changes in the surface of the ground. This can be seen in the formation of grooves or patterns in the ground, as well as changes in the soil structure. Additionally, the weight and force of the rotating cylinder can also cause compaction of the ground.

3. What factors can influence the behavior of a rotating cylinder on the ground?

There are several factors that can influence the behavior of a rotating cylinder on the ground. These include the speed of rotation, the weight and shape of the cylinder, the type of surface it is placed on, and any external forces acting on the cylinder, such as wind or inclines.

4. What can we learn from studying the behavior of a rotating cylinder on the ground?

Studying the behavior of a rotating cylinder on the ground can provide valuable insights into the dynamics of rotational motion and how it interacts with different surfaces. This knowledge can be applied to various fields, such as engineering, geology, and physics, to better understand and design systems that involve rotating objects.

5. Are there any potential hazards associated with putting a rotating cylinder on the ground?

Yes, there can be potential hazards associated with putting a rotating cylinder on the ground. These include the risk of injury from coming into contact with the rotating cylinder or being in the path of debris or particles that may be ejected from the cylinder. It is important to take proper safety precautions when conducting experiments with rotating objects.

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