Angular and Linear Speed

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3.3 Angular & Linear Velocity

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Presentation transcript:

Angular and Linear Speed Math 3: Trigonometry Unit Ms. Cox

Formulas to memorize 𝜔= 𝜃 𝑡 𝑣= 𝑠 𝑡 ANGULAR SPEED: How fast an angle changes LINEAR SPEED: Distance over time (on a curve) 𝑣= 𝑠 𝑡 𝜔= 𝜃 𝑡

Example: A record is spinning at the rate of 25 rpm. If a ladybug is sitting 10 cm from the center of the record: What is the angular velocity of the ladybug? What is the speed of the ladybug (in cm/sec)? After 20 seconds, how far has the ladybut traveled? After 20 seconds, what angle has the ladybug turned through?

example Tires on a car revolve at 500 rpm. If the diameters of the tires are 30 inches, find the linear speed of the car in mph. (63,360 inches = 1 mile)

Homework: Review your notes and try problems #2, #3 on the worksheet