Convert 60 Hz to milliseconds.
Understand the Problem
The question is asking to convert a frequency of 60 hertz (Hz) into milliseconds. This involves calculating the period of the wave, which is the inverse of the frequency. Since 1 hertz is equivalent to 1 cycle per second, we need to convert seconds to milliseconds.
Answer
The period is approximately $16.67$ milliseconds.
Answer for screen readers
The period of a frequency of 60 Hz is approximately $16.67$ milliseconds.
Steps to Solve
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Calculate the period in seconds The period ( T ) is the inverse of the frequency ( f ). This can be calculated using the formula: $$ T = \frac{1}{f} $$ For a frequency of 60 Hz, we have: $$ T = \frac{1}{60} $$
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Convert seconds to milliseconds Since 1 second is equal to 1000 milliseconds, we convert the period from seconds to milliseconds by multiplying by 1000: $$ T_{ms} = T \times 1000 = \left(\frac{1}{60}\right) \times 1000 $$
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Perform the multiplication Calculate the value: $$ T_{ms} = \frac{1000}{60} $$
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Simplify the fraction We can simplify the fraction: $$ T_{ms} = \frac{1000}{60} = \frac{100}{6} \approx 16.67 $$
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Final result The final answer is approximately 16.67 milliseconds.
The period of a frequency of 60 Hz is approximately $16.67$ milliseconds.
More Information
The period represents the time it takes to complete one cycle of the waveform. Understanding the relationship between frequency and period is crucial in various fields, including electronics and sound engineering. Higher frequencies correspond to shorter periods.
Tips
- Confusing frequency with period: Remember, frequency indicates how many cycles occur in a second, while period indicates the duration of one cycle.
- Failing to convert seconds to milliseconds properly by forgetting to multiply by 1000.
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