Converting Rotation to Translation?

In summary, the speaker, who is an amateur in physics, is asking whether it is possible to convert angular momentum into linear momentum. They use the example of a wobbling bicycle wheel on a skateboard to illustrate their question. Ultimately, the answer depends on whether there is friction or air resistance present.
  • #1
DAN421
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**I am an extreme amateur when it comes to physics, so please forgive me if I use the wrong terminology or my description is incomplete**

My washing machine always seems to get out of balance and "walk" across the room during the spin cycle, which led me to think up the following scenario:

Suppose I am standing on a skateboard holding a bicycle wheel at its axis, but the bicycle wheel is extremely unbalanced. I spin up the bicycle wheel, which wobbles violently in my hands. If I push out of phase against the wobble, will I accelerate on the skateboard?

Fundamentally, I suppose I am asking if it is possible to convert angular momentum into linear momentum. Why or why not is this possible?
 
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  • #2
DAN421 said:
**I am an extreme amateur when it comes to physics, so please forgive me if I use the wrong terminology or my description is incomplete**

My washing machine always seems to get out of balance and "walk" across the room during the spin cycle, which led me to think up the following scenario:

Suppose I am standing on a skateboard holding a bicycle wheel at its axis, but the bicycle wheel is extremely unbalanced. I spin up the bicycle wheel, which wobbles violently in my hands. If I push out of phase against the wobble, will I accelerate on the skateboard?

Fundamentally, I suppose I am asking if it is possible to convert angular momentum into linear momentum. Why or why not is this possible?
Welcome to the PF.

It's not possible if there is no friction with the environment (your skateboard example). If you have friction or air resistance, it's straightforward.
 

FAQ: Converting Rotation to Translation?

What is the difference between rotation and translation?

Rotation refers to the movement of an object around an axis, while translation refers to the movement of an object from one point to another in a straight line.

How do you convert rotation to translation?

To convert rotation to translation, you need to know the angle of rotation and the distance from the axis of rotation to the point of interest. You can then use trigonometric functions to calculate the horizontal and vertical components of the translation.

Can you explain the concept of angular velocity in relation to converting rotation to translation?

Angular velocity is the rate of change of the angle of rotation over time. In the context of converting rotation to translation, angular velocity is used to determine the speed and direction of the translation, as it is directly related to the rate of change of the angle of rotation.

What are some real-world applications of converting rotation to translation?

Converting rotation to translation is commonly used in robotics, as it allows for precise control of the movement of robotic arms and joints. It is also used in mechanical engineering for designing and analyzing mechanisms such as gears and pulleys.

Are there any limitations or challenges when converting rotation to translation?

One limitation is that the conversion assumes a perfect circular motion, so any deviation from this can lead to errors in the translation calculation. Additionally, the conversion may become more complex when dealing with complex motion patterns, such as non-uniform rotational speeds or multiple axes of rotation.

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