The corresponding frequency of this sinewave, in kHz, expressed to 3 significant figures is: 155 kHz.
<u>Given the following data:</u>
- Period = 645 μs
Note: μs represents microseconds.
<u>Conversion:</u>
1 μs = ×
seconds
645 μs = ×
seconds
To find corresponding frequency of this sinewave, in kHz;
Mathematically, the frequency of a waveform is calculated by using the formula;
Substituting the value into the formula, we have;
Frequency = 1550.39 Hz
Next, we would convert the value of frequency in hertz (Hz) to Kilohertz (kHz);
<u>Conversion:</u>
1 hertz = 0.001 kilohertz
1550.39 hertz = X kilohertz
Cross-multiplying, we have;
X = ×
X = 155039 kHz
To 3 significant figures;
<em>Frequency = 155 kHz</em>
Therefore, the corresponding frequency of this sinewave, in kHz is 155.
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