Angular Kinematics0

Angular Kinematics0 - Angular Velocity • Definition the...

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Chapter 6 Angular Kinematics
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Important definition Angle, θ - formed by the intersection of two lines, two planes, or a line and a plane. REMEMBER: The three key components in kinematics are position, velocity, and acceleration; that applies to angular, as well as linear, kinematics.
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Angular Position Definition : the orientation of a line or a plane with respect to another line or plane. There are two ways to measure angular position: 1. angle, θ (measured in degrees or radians) 2. arc length, l (measured in units of length, e.g. m)
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Angular displacement Definition : the angle formed between the final position and the initial position of a rotating line. Mathematically:
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Example Sample Problem 6.1, p. 153 A golfer’s hands move through an arc length of 10-cm during a putt. What arc length does the head of the putter move through if the hands are 50-cm from the axis of rotation and the putter head is 150-cm from the axis of rotation?
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Unformatted text preview: Angular Velocity • Definition : the rate of change of angular displacement. • Mathematically: Relationship between angular and linear velocity Example • Sample Problem 6.2, p. 155 • The sweet spot on a baseball bat is 120-cm from the axis of rotation during the swing of the bat. If this spot on the bat moves 40-m/s, how fast is the angular velocity of the bat? Angular acceleration • Definition : the rate of change of angular velocity. • Mathematically: Types of Angular acceleration 1. Tangential acceleration 2. Centripetal acceleration Tangential acceleration • Definition : the component of linear acceleration tangent to the circular path of a point on a rotating object. • Mathematically: Centripetal Acceleration • Definition : the linear acceleration directed towards the axis of rotation. • Mathematically:...
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