A nurse counts 72 heartbeats in 1 min. Show that the frequency and period of the heartbeats are 1.2 Hz and 0.83 s, respectively.
I responded as: frequency=72hb/min*1min/60sec
Is this correct? Thank you
you are correct.
thank you
No, your calculation is not correct. To find the frequency and period of the heartbeats, you need to convert the given count in beats per minute to beats per second.
To find the frequency, you can divide the count of heartbeats (72) by the time in seconds (60 seconds in 1 minute):
Frequency = 72 beats / 60 seconds = 1.2 Hz
To find the period, you can take the reciprocal of the frequency:
Period = 1 / Frequency = 1 / 1.2 Hz ≈ 0.83 seconds
So, the frequency of the heartbeats is 1.2 Hz and the period is approximately 0.83 seconds.
Yes, your approach is correct. To find the frequency, you need to convert the given count of heartbeats per minute into heartbeats per second. Here's how you can do it step by step:
1. Given that the nurse counts 72 heartbeats in 1 minute, you can express this as 72 hb/min.
2. To convert this into heartbeats per second, you need to divide by 60 since there are 60 seconds in a minute. So, you multiply the given count by the conversion factor of 1 min/60 sec:
frequency = (72 hb/min) * (1 min/60 sec)
3. Now, calculating the frequency:
frequency = (72/60) hb/sec
Simplifying, you get:
frequency = 1.2 hb/sec
So, your calculated frequency is 1.2 Hz. You can see that Hz represents a unit of frequency, which stands for "heartbeats per second."
Regarding the period, the period represents the time it takes for one complete cycle or heartbeat to occur. Since frequency is the reciprocal of the period, you can find the period by taking the inverse of the frequency:
period = 1/frequency = 1/1.2 Hz
Calculating this, you get:
period ≈ 0.83 seconds
Thus, your calculation is correct, and the frequency is approximately 1.2 Hz, while the period is approximately 0.83 seconds.