How do I visualise the equations from observation of a spinning wheel

In summary, the figure shows that the wheel's axis of rotation is along the y-axis and it moves horizontally along the x-axis. When describing its horizontal motion in terms of rotational motion, it is important to note that they are different things. The equations of motion for a spinning wheel can be written as one equation for the center of mass and another for the rotation around the center of mass. This approach was suggested by nasu and the individual plans to try it and post for verification.
  • #1
shivaniits
39
0
ImageUploadedByPhysics Forums1397596257.642907.jpg

From this figure we could see the axis of rotation of wheel is y-axis and it's translational motion is along x-axis
How would I describe it's horizontal motion in terms of rotational motion
The wheel is spinning and also moving horizontally along x-axis
w being the angular frequency
 
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  • #2
How would I describe it's horizontal motion in terms of rotational motion
You wouldn't - they are different things.
 
  • #3
I meant to say How do we describe the equations of motion of such spinning wheel
Thanks
 
  • #4
The usual way is to write one equation for the motion of the center of mass and another equation for the rotation around the center of mass.
 
  • #5
What nasu said.
 
  • #6
Alright I will try those and post them for verification
Thanks :)
 

1. How can I visualize the equations related to a spinning wheel?

One way to visualize the equations related to a spinning wheel is to use a diagram or animation that shows the different forces and variables involved in its motion. This can help to better understand the relationships between the equations and the physical properties of the spinning wheel.

2. What are the main equations involved in visualizing a spinning wheel?

The main equations involved in visualizing a spinning wheel are Newton's laws of motion, torque equations, and the equations of rotational motion such as angular velocity and acceleration.

3. How can I use trigonometry to visualize a spinning wheel?

Trigonometry can be used to visualize a spinning wheel by understanding the relationship between the radius of the wheel, its linear and angular velocity, and the angle at which it is spinning. This can be helpful in understanding the forces acting on the wheel and its motion.

4. Is it necessary to understand the equations to visualize a spinning wheel?

While a basic understanding of the equations involved in visualizing a spinning wheel can be helpful, it is not necessary to fully grasp the mathematical concepts to visualize its motion. Using diagrams or animations can also aid in understanding the motion without relying solely on equations.

5. How can visualizing equations of a spinning wheel be useful in real-world applications?

Visualizing the equations of a spinning wheel can be useful in various real-world applications such as designing and analyzing the motion of wheels in vehicles, understanding the motion of gears in machines, and predicting the behavior of spinning objects in sports or other activities.

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