Final answer:
In the United States and Canada, AC power is generated at 60 Hz. For military aircraft using 400-Hz AC power, the time for one complete cycle is 0.0025 seconds. Frequency is crucial in designing electrical systems and understanding AC voltage behavior.
Step-by-step explanation:
In the United States and Canada, AC power is generated at 60 Hz (hertz or frequency). Hertz (Hz) is the SI unit for frequency, which is equivalent to cycles per second. In contrast, military aircraft use 400-Hz AC power, as it allows for the design of lighter-weight equipment. To find the time for one complete cycle of this power, we can use the formula for the period of a wave, which is T = 1/f, where T is the period and f is the frequency. Therefore, for a 400 Hz frequency, the time for one complete cycle (T) is 1/400 seconds, or 0.0025 seconds.
As a relation to common household AC power, the voltage fluctuates sinusoidally with time, and can be described by the equation V = Vo sin 2πft, where V is the voltage at time t, Vo is the peak voltage, and f is the frequency in hertz. The concept of frequency is also important in understanding the inductive reactance and capacitive behavior in AC circuits, as they are both frequency-dependent.