Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Arcs of the same length in two different circles subtend and at their centres. Find the ratio of the radii.
With in radians, an arc is and a sector has the area . A rolling wheel moves in each turn. For revolutions each minute, rad/s, and a point on the rim moves at .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The same arc. , so .
Step 2. The angles. .
Answer: . The smaller angle belongs to the bigger circle.
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