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Physics 1 Problem Solutions 41

Physics 1 Problem Solutions 41 - Chapt 4 Two and...

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Chapt. 4 Two- and Three-Dimensional Kinematics 37 004 qmult 00412 1 4 2 easy deducto-memory: radians in a circle 2 Extra keywords: mathematical physics 17. “Let’s play Jeopardy ! For $100, the answer is: 2 π .” What is , Alex? a) the number of degrees in a circle b) the number of radians in a circle c) twice the number of radians in a circle d) twice the number of degrees in a circle e) cherry and blueberry 004 qmult 00420 1 5 1 easy thinking: 24 factors in 360 18. The division of the circle into 360 was an arbitrary choice—and we don’t know why. We just know the ancient Mesopotamian mathematicians and astronomers did it this way—you know Mesopotamia—ancient Iraq: “the cradle of civilization”. Their choice was just adopted by the ancient Greeks and got passed on to us. In the French Revolutionary epoch, the decimal system was adopted for most measures, but the revolutionaries didn’t get around (you might say) to the circle. We can guess that one reasons is that the ancient Mesopotamians had a preference for whole number arithmetic particularly in division and 360 has a lot of whole number factors. How many whole number (i.e., integer) factors does 360 have counting 1 and 360 itself?
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