Velocity of points on a moving wheel relative to the ground

AI Thread Summary
A wheel with a radius of 50 cm is rolling at a speed of 10 m/s to the east, and the discussion focuses on determining the velocities of specific points on the wheel relative to both its center and the ground. The velocities relative to the center are initially thought to be uniform at 10 m/s, but there is confusion regarding how to calculate the velocities of the top, bottom, front, and back points relative to the ground. The relationship between the wheel's angular velocity and the linear velocity at different points is questioned, suggesting a need for clarity on how these concepts interrelate. The discussion highlights the importance of understanding both linear and angular motion in analyzing the wheel's movement. Overall, the thread seeks assistance in resolving the calculations for the velocities of the wheel's points.
samreen.a
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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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