Find the frequency in Hertz (Hz) for the following situations:
a) a basketball team scores 40 points in 300s
b) a tuning fork vibrates 2000 times in 2s
c) a boat bobs up and down 20 times in 5 minutes
a) f =40/300=0.133 s^-1.
b) f = 2000/2 = 1000 s^-1.
c) f = 20/5•60 = 20/300 =0.067 s^-1
I thought frequency is 1/T . T as in Period. ..
Frequency – f - is the number of occurrences of a repeating event per unit time.
The period – T -is the duration of one cycle in a repeating event, so the period is the reciprocal of the frequency.
T = 1/f.
[ T ] = seconds = s
[ f ] = s^-1 = Hz
To find the frequency in Hertz (Hz), we need to determine how many cycles or events occur in a given time period.
a) In Situation a, a basketball team scores 40 points in 300s. The frequency can be calculated by dividing the number of events (40 points) by the time period (300s):
Frequency (Hz) = Number of events / Time period
Frequency (Hz) = 40 points / 300s
So the frequency in Hz for this situation is:
Frequency (Hz) = 0.133 Hz
b) In Situation b, a tuning fork vibrates 2000 times in 2s. To find the frequency, we divide the number of events (2000 vibrations) by the time period (2s):
Frequency (Hz) = Number of events / Time period
Frequency (Hz) = 2000 vibrations / 2s
So the frequency in Hz for this situation is:
Frequency (Hz) = 1000 Hz
c) In Situation c, a boat bobs up and down 20 times in 5 minutes. We need to convert the time period to seconds for consistent units:
Time period (s) = 5 minutes * 60 seconds/minute = 300s
Now we can calculate the frequency by dividing the number of events (20 bobs) by the time period (300s):
Frequency (Hz) = Number of events / Time period
Frequency (Hz) = 20 bobs / 300s
So the frequency in Hz for this situation is:
Frequency (Hz) = 0.067 Hz