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

2. 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

3. 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?

4. 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)

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