A nurse counts 76 heartbeats in one minute. What are the period and frequency of the heart's oscillations?
1.83
To find the period and frequency of the heart's oscillations, we need to understand their definitions.
The period (T) is the time it takes for one complete cycle or oscillation. It is usually measured in seconds.
The frequency (f) is the number of cycles or oscillations that occur per second. It is usually measured in Hertz (Hz).
In this case, the nurse counts 76 heartbeats in one minute, which means there are 76 cycles or oscillations in one minute.
To calculate the period, we need to convert the time from minutes to seconds. Since there are 60 seconds in one minute, the time in seconds would be:
Time = 1 minute × 60 seconds/minute = 60 seconds
Now, we can calculate the period (T) using the formula:
T = Time (in seconds) / Number of oscillations
T = 60 seconds / 76 oscillations
T ≈ 0.789 seconds (rounded to three decimal places)
To calculate the frequency, we use the formula:
f = 1 / T
f = 1 / 0.789 seconds
f ≈ 1.27 Hz (rounded to two decimal places)
Therefore, the period of the heart's oscillations is approximately 0.789 seconds, and the frequency is approximately 1.27 Hz.