Final answer:
To convert the LP record's speed from rpm to rev/s, divide by 60, resulting in a frequency of 0.5556 rev/s. The period, which is the time for one complete rotation, is the reciprocal of the frequency, giving a period of 1.8 seconds.
Step-by-step explanation:
To convert the rotation speed of an LP record from revolutions per minute (rpm) to revolutions per second (rev/s), we divide the given rpm value by 60 since there are 60 seconds in a minute. So, for an LP record that rotates at 33⅓ rpm:
Frequency (f) = ⅓ rpm / 60 seconds/minute = 0.5556 rev/s
Next, to find the period (T), which is the time for one complete rotation, we take the reciprocal of the frequency:
Period (T) = 1 / frequency (f) = 1 / 0.5556 rev/s = 1.8 seconds
Therefore, the LP record has a frequency of 0.5556 revolutions per second and a period of 1.8 seconds.