Predict/Calculate Playing a CD The record m an old-fashioned record player always rotates at the same angular speed. With CDs, the situation is different, For a CD to play properly the point on the CD where the laser beam shines must have a linear speed v t = 1.25 m/s, as indicated in Figure 10-39 (a) As the CD plays from the center outward, does its angular speed increase decrease or stay the same? Explain. (b) Find the angular speed of a CD when the laser beam is 2.50 cm from its center. (c) Repeat part (b) for the laser beam 6.00 cm from the center. b If the CD plays for 66.5 mm, and the laser beam moves from 2.50 cm to 6.00 cm during this time what is the CD's average angular acceleration ? Figure 10-39 Problem 77
Predict/Calculate Playing a CD The record m an old-fashioned record player always rotates at the same angular speed. With CDs, the situation is different, For a CD to play properly the point on the CD where the laser beam shines must have a linear speed v t = 1.25 m/s, as indicated in Figure 10-39 (a) As the CD plays from the center outward, does its angular speed increase decrease or stay the same? Explain. (b) Find the angular speed of a CD when the laser beam is 2.50 cm from its center. (c) Repeat part (b) for the laser beam 6.00 cm from the center. b If the CD plays for 66.5 mm, and the laser beam moves from 2.50 cm to 6.00 cm during this time what is the CD's average angular acceleration ? Figure 10-39 Problem 77
Predict/Calculate Playing a CD The record m an old-fashioned record player always rotates at the same angular speed. With CDs, the situation is different, For a CD to play properly the point on the CD where the laser beam shines must have a linear speed vt = 1.25 m/s, as indicated in Figure 10-39 (a) As the CD plays from the center outward, does its angular speed increase decrease or stay the same? Explain. (b) Find the angular speed of a CD when the laser beam is 2.50 cm from its center. (c) Repeat part (b) for the laser beam 6.00 cm from the center. b If the CD plays for 66.5 mm, and the laser beam moves from 2.50 cm to 6.00 cm during this time what is the CD's average angular acceleration?
Figure 10-39
Problem 77
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
3. Four identical small masses are connected in a
flat perfect square. Rank the relative rotational
inertias (IA, IB, IC) about the three axes of
rotation shown. Axes A and B are in the plane of
the square, and axis C is perpendicular to the
plane, through mass m1.
ΙΑ
IB
m2
m1
m3
Ic
m4
(a) IA
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