ANGULAR AND LINEAR SPEED

Math 3: Trigonometry Unit

Ms. Cox

FORMULAS TO MEMORIZE ANGULAR SPEED: How fast an angle

changes

LINEAR SPEED: Distance over time (on a curve)

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?

EXAMPLETires 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