π€π€πΈ POP QUIZ: Put Your Answer In The Comments. If You Know This Question, Please Do Not Answer or Comment. I Will Post The Answer Later Tonight. π€π€πΈ
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Easy.
Both circumferences have the factors 2 x pi in them, so that is not necessary to consider in a proportional ratio. (Cross out common denominators).
Given that a circumference = 2 x pi x r, the only proportions we need to worry about are the radii.
The ratio of the radii is 3:1. Therefore the circumferences will be 3:1. The first circle needs to go round the bigger circle 3 times.
Note there is a trap, in the answer that is 9. This is for people who confuse 2 x pi x r for pi x r-squared (to give Area), which would result in 3 x 3 = 9.
Edit: Ooops I did not see your request to not comment if you knew the answer.
Many people think 3 is the right answer. They may be right. But, they may also be wrong.
Sadness is correct - making the assumption that circle B is static and cannot move freely about its axis then the answer will be 3. If circle B does move counterclockwise, AND I make the assumption that there is sufficient rolling friction between the two circles to eliminate any βslip differentialβ then the answer will be 3/2. What if circle B spins freely but circle A is static then β0β to infinity satisfies as circle Aβs center starting position will always be satisfied. βIfβ A simply turns/slips against B once again 0 to infinity satisfies the desired outcome. If I assume varied slip differentials then I can pretty much come up with any answer I would like. Given this knowledge I will answer there is NOT ENOuGH information to solve with 100% certainty without making an ass out of both you and me.!
Thanks for the reply fren! I posted the answer video and it offers some interesting insights. Be sure to check it out.