Circular Motion Linear speed Units are always length per time mph (bike or car speeds) Angular speed rpm (revolutions per minute) Engine speed ALWAYS.

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Presentation transcript:

Circular Motion Linear speed Units are always length per time mph (bike or car speeds) Angular speed rpm (revolutions per minute) Engine speed ALWAYS check your units!

Linear speed v is linear speedunits: length per time s is distance traveled in t t is time it took to go s distance Angular speed the central angle (in radians) the angular speed is revolutions per minute

Examples 1. A 15-inch diameter tire on a car makes 9.3 revolutions per second. a) Find the angular speed of the tire in radians per second. b) Find the linear speed of the car. 2. A satellite in a circular orbit 1250 kilo-meters above Earth makes one complete revolution every 110 minutes. What is its linear speed? Assume that Earth is a sphere of radius 6400 kilometers

Solutions 1. Change 9.3 revolutions per second to radians per second = 18.6π radians per second a) Angular speed = (18.6π)/ 1 = 18.6π radians per second b) Linear speed = rω = (7.5)(18.6π) = inches per second 2. Linear speed

Modeling Data in the Calculator If there is a list of data points we can use the calculator to help find the line of best fit Steps: Put the data into L1 and L2 Turn STAT plot on Use zoom stat Use sinreg to find sine function of best fit

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Monthly Temperatures for Chicago

p. 699 # 21, 22 And yes… I will be checking it