Math 3: Trigonometry Unit Ms. Cox. A record is spinning at the rate of 25 rpm. If a ladybug is...
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ANGULAR AND LINEAR SPEED Math 3: Trigonometry Unit Ms. Cox
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Transcript of Math 3: Trigonometry Unit Ms. Cox. A record is spinning at the rate of 25 rpm. If a ladybug is...
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