A sinusoidal signal completes 12 cycles in 24 ms. Determine its frequency.
Question
A sinusoidal signal completes 12 cycles in 24 ms. Determine its frequency.
Solution
Sure, here are the steps to determine the frequency of the sinusoidal signal:
Step 1: Understand the problem The problem gives us the number of cycles (12 cycles) that the signal completes in a certain time period (24 ms). We are asked to find the frequency of the signal.
Step 2: Recall the definition of frequency Frequency is defined as the number of cycles per unit of time. It is usually measured in Hertz (Hz), which is equivalent to cycles per second.
Step 3: Convert the time from milliseconds to seconds We know that 1 second is equal to 1000 milliseconds. So, we convert 24 ms to seconds by dividing by 1000. This gives us 0.024 seconds.
Step 4: Calculate the frequency Now, we can calculate the frequency by dividing the number of cycles by the time in seconds. So, the frequency is 12 cycles / 0.024 seconds = 500 Hz.
So, the frequency of the sinusoidal signal is 500 Hz.
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