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Rotational Kinematics: The Record Player and Tangential Velocity

This chapter explores rotational kinematics and its application in understanding the movement of a penny on a turntable. It explains concepts such as tangential velocity, angular velocity, and angular displacement in both degrees and radians. The chapter also covers the measurement of angular acceleration and provides assigned problems for further practice.

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Rotational Kinematics: The Record Player and Tangential Velocity

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  1. Chapter 8Rotational Kinematics

  2. To spin on an internal axis. Rotation – (rotate) Revolution – (revolve) To move around an external axis.

  3. The Record Player or Turntable

  4. How fast is the penny moving? A penny rotates on the turntable at 45 RPM Tangential Velocity Angular Velocity (Rotational Speed) (Linear Speed) 45 revolutions/minute Depends on the distance (r) away from the center or 45 x (2) = 282.7 rad/min

  5. Tangential Velocity = Linear Velocity = v Angular Velocity = Rotational Velocity = ω V depends on distance from axis rotation.

  6. What is pi? Pi is the ratio of a circle’s circumference to diameter.

  7. s = arc length Arc length r = radius

  8. A radian is a unit used for measuring angles. What is a radian? s = arc length r = radius Angles can be measured in degrees or radians

  9. Angular Displacement (Δθ) - Can be measured in 1) degrees 2) radians 3) revolutions (1 rev = 360°)

  10. Angular Velocity (ω) - Measured in rad/sec or rev/min (etc)

  11. Angular Acceleration (α) - Measured in rad/sec2 or rev/min2 (etc)

  12. ASSIGN: Ch. 8 #2,12,16,32p. 231due Friday

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