If v(t) = 300sin157t, how long does it take this waveform to complete 3 cycles?

The formula for the period of a sine wave is T = 2π/ω, where ω is the angular frequency. In this case, ω = 157.

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 Since one cycle takes approximately 0.04 seconds, three cycles would take 3 times as long.

Time for 3 cycles = 3 * T = 3 * 0.04 = 0.12 seconds

So, it takes approximately 0.12 seconds for this waveform to complete 3 cycles.