32: One possible setup is to take the framework connected with the rig, thus having the wheel in one position and the ground runs away under it, then use variables like this:

How do the data fit?
Given: The fact that the wheel stays in place and the ground runs away means that any point on the circumference of the wheel has velocity 10 m/sec. A standard formula then translates this into the rate of change of the angle: a′(t) = 10.
To find: x′(t).

Now find some relationship between x and a and then differentiate it with respect to time.

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Answer