What is the frequency of a pendulum that completes 40 cycles in 8 minutes?
40 cycles / (8*60 seconds)
= .083 Hz
0.8 man!
5.00 Hz
2.00 Hz
0.08 Hz
0.02 Hz
To find the frequency of a pendulum, we can use the formula:
Frequency (f) = (Number of cycles) / (Time taken)
In this case, the given number of cycles is 40, and the time taken is 8 minutes.
Substituting these values into the formula:
Frequency (f) = 40 cycles / 8 minutes
To simplify the calculation, we convert the time from minutes to seconds since frequency is typically measured in Hertz (Hz) which represents cycles per second:
Frequency (f) = 40 cycles / (8 minutes × 60 seconds/1 minute)
Frequency (f) = 40 cycles / 480 seconds
Calculating further:
Frequency (f) = 0.0833 cycles/second
Rounding off to an appropriate number of decimal places:
Frequency (f) ≈ 0.08 Hz
Therefore, the frequency of the pendulum that completes 40 cycles in 8 minutes is approximately 0.08 Hz.