Velocity of points on a moving wheel relative to the ground

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SUMMARY

The discussion focuses on calculating the velocities of various points on a wheel with a radius of 50 cm rolling at a speed of 10 m/s eastward. The velocities of the top, bottom, front, and back points relative to the wheel's center are all 10 m/s. However, the velocities of these points relative to the ground differ: the top point moves at 20 m/s east, the bottom point remains stationary at 0 m/s, and the front and back points have velocities of 10 m/s east and 10 m/s west, respectively. The relationship between angular velocity and linear velocity is crucial for understanding these dynamics.

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Homework Statement



A wheel with a radius 50 cm is rolling along the ground at 10m/s[E]. That is, the centre point of the wheel is moving at 10 m/s [E].

- What are the velocities of the top, bottom, front, and back points of the wheel, relative to its center?

- What are the velocities of those four points relative to the ground?

Homework Equations


I'm not sure if I know any for this.


The Attempt at a Solution



For the first one, I got 10m/s for all the dimensions. I'm confused about the second part. Help :\
 
Last edited:
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Can you use the circumference of the wheel and it's horizontal speed to find an angular velocity? What is the relation between the angular velocity of the wheel and the velocity at some radius on the wheel?
 

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