Rotational Kinematics. Angular Position, Velocity, and Acceleration.
Angular Kinematics Objectives
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Transcript of Angular Kinematics Objectives
![Page 1: Angular Kinematics Objectives](https://reader035.fdocuments.net/reader035/viewer/2022072015/5681308e550346895d966b13/html5/thumbnails/1.jpg)
Angular Kinematics Objectives• Distinguish angular motion from rectilinear and curvilinear motion• Explain how segment and joint angles are measured Discuss the
relationship among angular displacement, angular velocity, and angular acceleration
• Correctly associate angular kinematic quantities with their units of measure
• Explain the relationship between angular and linear displacement, angular and linear velocity, and angular and linear acceleration
• Solve quantitative problems involving angular kinematic quantities and the relationship between angular and linear motion quantities
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Angular Kinematics Outline• Reading assignment: Chapter 11• Measuring angles
– Relative vs absolute angles– Measuring angles
• Goniometer• Inclinometer• Electrogoniometer• Analytic calculation from 3 points in space
– Angular displacement– Units of measurement
• Relationship between linear and angular motion• Linear and angular acceleration• Self-study problems: Introductory problems, pp 376-377: 4,5,7,10• Homework problems (due Monday, Nov 7): • Additional problems, p 377-378: 1,10
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Measuring joint anglesJoint centers form Vertices for jt angles Joint angles Segment angles
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Measuring angles of bodily segments
Leighton flexometer(absolute, or stegment angles)
Goniometer(relative, or joint angles)
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Units of angular measurement
Degrees
Radians
Revolutions
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Relationship between linear and angular motion (kinematics)
a = r
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Relationship between linear and angular motion
• Would you rather have a long or short baseball bat or tennis racquet?
(sample problem 2, p 372)
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Calculating linearVelocity whenAngular velocity & rotation radiusAre known
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Tangential and radial acceleration
Tangential acceleration represents change in magnitude of velocity
Radial acceleration represents change in direction
Sample prob#3, p 375
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Calculating tangential acceleration,Radial acceleration, and resultantacceleration