Unit #5: Introduction to Trigonometry

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Presentation transcript:

Unit #5: Introduction to Trigonometry Accel Precalc Unit #5: Introduction to Trigonometry Lesson #3: Linear and Angular Speed EQ: How do you calculate linear and angular speed?

Angular Speed --- angle covered for a given amount of time Units Used to Describe Angular Speed: revolutions per minute rpm degrees per second deg/sec radians per hour rad/hr

Linear Speed --- distance travelled for a given amount of time Units Used to Describe Linear Speed: meters per second m/sec miles per hour mph Relationships: 1 revolution = 1 rotation around circle

Angular Measurement: 1 revolution = 2π radians Linear Measurement: Formulas: C = 2πr = πd

20 4.58 316,800

88 272.73 245

Ex. Find the linear speed for each circular object.

Ex. Find the angular speed for each.

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ASSIGNMENT: (15 minute worktime) Worksheet #1 “Angular and Linear Speed” Textbook: p. 293 – 294 #93 – 98 Worksheet #2: “Angular and Linear Speed” Or Study for Midterm Exam Everyone is studying something for Accel Prec.