(595)Vinyl record spinning at 45rpm. What is the frequency of rotation (in Hz)? What is the orbital time of the vinyl record (in seconds)?
60 rpm = 60 revolutions / minute
= 60 revolutions / 60 seconds
= 1 revolution / second
= 1 hertz (Hz)
So what is 45 rpm in Hz?
Orbital time is the shortest time for any point on the record to come back to the previous position, which is the same as the time it takes to make one revolution.
A 45 rpm record would take 60 seconds to make 45 revolutions. How long would it take to make 1 revolution?
Hertz is 1/second and RPM would be 1/minute
hertz * 60 = RPM
RPM / 60 = hertz
therefore 45/60 = 0.75 Hz
To find the frequency of rotation in Hz, we need to convert the rotational speed from rpm (revolutions per minute) to Hz (cycles per second).
1 revolution = 1 cycle
1 minute = 60 seconds
Step 1: Convert rpm to cycles per second (Hz)
To convert from rpm to Hz, divide by 60 (since there are 60 seconds in a minute):
45 rpm รท 60 = 0.75 Hz
Therefore, the frequency of rotation is 0.75 Hz.
Step 2: Find the orbital time in seconds
The orbital time, also known as the period, is the time taken to complete one revolution. It is the reciprocal of the frequency.
Orbital time (T) = 1 / frequency (f)
= 1 / 0.75 Hz
= 1.33 seconds
Therefore, the orbital time of the vinyl record is 1.33 seconds.