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This 4 page Class Notes was uploaded by mak15k on Monday October 26, 2015. The Class Notes belongs to MAC1114 at Florida State University taught by Dr. LeNoir in Fall 2015. Since its upload, it has received 42 views. For similar materials see Analytic Trigonometry MAC1114 in Math at Florida State University.
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Date Created: 10/26/15
MAC1114 Molly Kitchen THURSDAY 08272015 LECTURE NOTES 51 go to the Einstein website to practice what was covered Help session start next week Quiz 1 on Sept 2nd practice on Einstein website SECTION 51 An angle should be thought of as motion start vs stop position determines measurement InItIal Side counterclockWIse motionstoppng pOSItlon IS term de positive angle InItIal Side clockmse motlon gt negative angle RIGHT ANGLE 90 STRAIGHT ANGLE 180 4 0ltthetalt90 is an acute angle Initial side is always positive xaxis terminal is still where you stop rotating coordinate plane 0 angle no movement 90 180 270 360 one complete revolution CCW 90 180 270 360 negative meaning CW movement Quadrantal angles the terminal angle positions that lie on the axes 1 1360 of revolution so 1 revolution is 360 2n n180 radian 1 1 radian 180n 1 Convert 150 to radians 150 x n180 5n6 radians reductions per numerator denominator 2 Convert the angle 34 radians to degrees if no degree smbol not radians 34 X 18011 l35T MAC1114 Molly Kitchen Theorem For a circle of radius 39r39 a central angle of theta radians subtends an arc whose length is 39s39 S Also the area of the sector is given by A MEMORIZE THESE FORMULAS PROBEM SET 1 1 Draw a picture 5 re 16 4 e 4 e 2 A l2r2theta A 12 32 RADIANS 30 x n180 n6 A 12 32 Tl6 A 3114 sq ft 3 60 if string length is 30 inches 5 re s 30T3 s lOn 4 36inch long windshield wipersl3 a revolution 5 r6 theta 13 revolution 5 36 Zn3 theta 13 Zn3 5 95 arc 95 angle 95 x n180 19n 36 s re OR 95n180 95 r95r180 1809511 x 95 r 95n180 x 1809511 Linear speed amp angular speed MAC1114 Molly Kitchen Linear distance time Angular angle time since sre st retst r x et PROBLEM SET 2 l v dt ft per second 2 w et 2040 3 v rw 18w w in angular speed 33 13 revolutions per minute 1003 rpm 1003 x 211 200n3 RADIANS per minute so v 18 x 200n3 4vrw2x3l Molly Kitchen MAC1114 Class Notes 09012015 L2
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