If v(t) = 300sin157t, how long does it take this waveform to complete 3 cycles?Group of answer choices20 ms120 ms40 ms10 ms
Question
If v(t) = 300sin157t, how long does it take this waveform to complete 3 cycles?
Group of answer choices
- 20 ms
- 120 ms
- 40 ms
- 10 ms
Solution
The formula for the period of a sine wave is T = 2π/ω, where ω is the angular frequency. In this case, ω = 157 rad/s.
Step 1: Calculate the period of the waveform T = 2π/157 ≈ 0.04 seconds
This is the time it takes for the waveform to complete one cycle.
Step 2: Calculate the time for 3 cycles 3T = 3 * 0.04 = 0.12 seconds
Therefore, it takes 0.12 seconds or 120 ms for the waveform to complete 3 cycles. So, the correct answer is 120 ms.
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