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Chapter 8 Rotational Kinematics
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Rotation – (rotate) Revolution – (revolve) To move around an external axis. To spin on an internal axis.
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The Record Player or Turntable
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A penny rotates on the turntable at 45 RPM How fast is the penny moving? Angular Velocity Tangential Velocity (Rotational Speed)(Linear Speed) 45 revolutions/minute or 45 x (2 ) = 282.7 rad/min Depends on the distance (r) away from the center
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Angular Velocity = Rotational Velocity = ω Tangential Velocity = Linear Velocity = v V depends on distance from axis rotation.
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What is pi? Pi is the ratio of a circle’s circumference to diameter.
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Arc length r = radius s = arc length
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What is a radian? A radian is a unit used for measuring angles. Angles can be measured in degrees or radians r = radius s = arc length
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Angular Displacement (Δθ) - Can be measured in 1) degrees 2) radians 3) revolutions (1 rev = 360°)
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Angular Velocity (ω) - Measured in rad/sec or rev/min (etc)
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Angular Acceleration (α) - Measured in rad/sec 2 or rev/min 2 (etc)
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ASSIGN: Ch. 8 #2,12,16,32 p. 231 due Friday
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