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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Conversion
The conversion between Hertz (Hz) and radians per second (rad/s) is based on the relationship between frequency and angular frequency.
Step 3:: Recall the Conversion Formula
- $$2\pi$$ is the conversion factor
The conversion formula is straightforward: Where:
Step 4:: Explanation of the Conversion
\omega = 2\pi \times 5 = 10\pi \mathrm{~rad/s}
- 1 Hz represents one complete cycle per second Example:
Final Answer
Conversion Formula: \omega = 2\pi f
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