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# 5.1.3 angles and their measure

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• ### 5.1.3 angles and their measure

1. 1. 5.1 Angles and Their Measure<br />Formulas – Arc Length, Area of a Sector, Linear Speed, Angular Speed<br />
2. 2. Arc Length (s) <br />s = arc length<br />r = radius<br />Θ = (theta) central angle (in radians)<br />
3. 3. Area of a Sector (A) <br />A = area of the sector<br />r = radius<br />Θ = (theta) central angle (in radians)<br />
4. 4. Find the missing information <br />
5. 5. Find the missing information <br />
6. 6. Find the missing information <br />
7. 7. Find the missing information <br />
8. 8. Find the missing information <br />
9. 9. Find the missing information <br />
10. 10. Linear Speed (in circular motion)<br />In distance unit per time unit<br />
11. 11. Angular Speed<br />In radians per time unit<br />
12. 12. Consequence of these…<br />
13. 13. Ferris Wheel<br />A neighborhood carnival has a Ferris wheel whose radius is 30 feet. You measure the time it takes for one revolution to be 70 seconds. <br />What is the linear speed (in feet per second) of this Ferris wheel? <br />What is the angular speed in radians per second?<br />
14. 14. Spin Balancing Tires<br />A spin balancer rotates the wheel of a car at 480 revolutions per minute. If the diameter of the wheel is 26 inches, what road speed is being tested? Express your answer in miles per hour. <br />
15. 15. Spin Balancing Tires<br />For a diameter of 26 inches, at how many revolutions per minute should the balancer be set to test a road speed of 80 miles per hour?<br />
16. 16. Assignment<br />p. 367 # 71 – 89 odd, 99 -103, 118, 119<br />