1.5 Applications Angular and Linear Velocity Part 1

1.5 Applications Angular and Linear Velocity Part 1 -...

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Agenda: Agenda: 0. Homework Roll 1. Whiteboard Warmup 2. Lesson - 1.5 Applications: Angular and Linear Velocity ____________________________________ Homework Roll Roll HW# 1,2 3 3,4 4 5 5 6 6 ____________________________________ Whiteboard Warmup Convert to radians. Convert to degrees. ____________________________________ Lesson - 1.5 Applications: Angular and Linear Velocity Goal: Solve problems involving arc length, angular velocity, and linear velocity. DOD Arc Length: arc length radius of circle central angle (in radians) Angular Displacement: angle of movement Angular Velocity: angular displacement per unit of time. angular velocity Units are usually rpm (revolutions per minute) or rad/sec (radians per second). Tomorrow! You will have a screencast of this. 1.5 Applications: Angular and Linear Velocity Part 1 Monday, August 29, 2011 7:41 AM Ch_1 Page 1
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Unformatted text preview: Linear Velocity: linear distance traveled per unit of time. ± ²³ ± Linear Velocity ²´ µ ¶·¸¹º»¶ ¼ ± angular velocity ³ ± radius _________________________________ Examples Find the length of the arc intercepted by a central angle of 2.5 radians in a circle of radius 5 cm. Find the length of the arc intercepted by a central angle of 3 radians in a circle of radius 13 cm. If ½¾ À make Á  revolutions about its axis, find the angular displacement à of point A. Express your answer in radians. If ½Ä À has an angular displacement of à ± Å Â Æ rad, find the number of revolutions ½Ä À makes around its axis. Find the angular velocity ² in both radians per minute and radians per second for a wheel turning at the given number of revolutions. 40 rpm (what does rpm mean?) 65 rpm (what does rpm mean?) Ch_1 Page 2 Ch_1 Page 3...
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