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 .
An electron and a proton are each accelerated through a potential difference of 21.0 million volts. Find the momentum (in MeV/c)
and the kinetic energy (in MeV) of each, and compare with the results of using the classical formulas.
Momentum (MeV/c)
relativistic
classical
electron
proton
Kinetic Energy (MeV)
Four capacitors are connected as shown in the figure below. (Let C = 20.0 µF.)
(a) Find the equivalent capacitance between points a and b.
µF
(b) Calculate the charge on each capacitor, taking ΔVab = 14.0 V.
20.0 µF capacitor
µC
6.00 µF capacitor
µC
3.00 µF capacitor
µC
capacitor C
µC
11. At what point in SHM is the velocity maximum? Displacement maximum?
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