it will revolve 4 times 3 times you can imagine it sticking to circle b as it goes around 1 extra time because if you image circle b dissapears then the circle is still turning in space over the whole period it goes around
"The point of contact on both the stationary coin and the rotating coin must move the same distance, half the circumference of the coin. For example, the point of contact has moved from its right side to its left side. Correspondingly, the point of contact on the rotating coin must move from its left side to its right side. This means the rotating coin has made one full rotation about its own center while its center has made one half revolution about the stationary coin."
>>7766478 It's pretty obvious what these mean. Think about a car driving over a hill. If you mark the top of the wheel of the car then the number of times this mark is at the top of the wheel from the perspective of an observer outside of the car is the number of revolutions the wheel makes. Rolling is simply the action of the wheel's circumference moving as it contacts the hill.
Does it roll without slipping or does it slip? What is the coefficient of friction between the two? Is there a force applied or are these discs in space and only acted upon by the gravitational force between them?
A circumference of a circle is defined by the formula d of pi, or 2 of radius of pi. The quarter demonstration is deceptive in the sense that given the quarter is rotated around completely, the bottom point is extended outward as a spiral, the length of that curve is that of the circumference. A rotation is not a revolution.
So in general, one rotation of circle A is the circumference of A, another rotation of circle A is 2/3's of of the circumference of Circle B, another rotation is the full circumference of circle B. When the bottom of point of circle A touches Circle B. The length of that given curve is twice that of the circumference of A, so the entire length of that those arcs around B would be 6.
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