What is the duration of a 10 Hz wave when displayed at 15 mm/second?

To determine the duration of a 10 Hz wave displayed at a speed of 15 mm/second, we first need to understand the relationship between frequency, period, and wave display.

A 10 Hz wave means that the wave completes 10 cycles each second. The period (T) of the wave, which is the duration of one complete cycle, can be calculated using the formula:

[ T = \frac{1}{\text{frequency}} ]

Plugging in the frequency:

[ T = \frac{1}{10 \text{ Hz}} = 0.1 \text{ seconds} ]

Converting seconds to milliseconds, this gives us:

[ 0.1 \text{ seconds} = 100 \text{ milliseconds} ]

Now, when we consider the display speed of 15 mm/second, we can further confirm our findings regarding how this speed affects display. At this speed, the display’s representation will show a specific number of millimeters for each cycle of the wave. However, the critical point here is that the duration of each complete wave cycle remains defined by the period, which we have already calculated.

Thus, the duration of 100 milliseconds for a complete cycle at 10 Hz