On a 12.0-cm-diameter audio compact disc (CD), digitalbits of information are encoded sequentially along anoutward spiraling path. The spiral starts at radius R1=2.5cmand winds its way out to radius R2=5.8cmTo read the digital information, a CD player rotates theCD so that the player’s readout laser scans along thespiral’s sequence of bits at a constant linear speed of 1.25 m/sThus the player must accurately adjust the rotational frequency f of the CD as the laser moves outward.Determine the values for f (in units of rpm) when thelaser is located at R1 and when it is at R2
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
On a 12.0-cm-diameter audio compact disc (CD), digital
bits of information are encoded sequentially along an
outward spiraling path. The spiral starts at radius R1=2.5cm
and winds its way out to radius R2=5.8cm
To read the digital information, a CD player rotates the
CD so that the player’s readout laser scans along the
spiral’s sequence of bits at a constant linear speed of 1.25 m/s
Thus the player must accurately adjust the rotational frequency f of the CD as the laser moves outward.
Determine the values for f (in units of rpm) when the
laser is located at R1 and when it is at R2
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