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Check the correctness of the formula usi...

Check the correctness of the formula using dimensions: `x=a sin (omegat +phi), x - ` displacement, `alpha` - amplitude, `omega` angular velocity `phi` is an angle and it has no dimensions.

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To check the correctness of the formula \( x = a \sin(\omega t + \phi) \) using dimensions, we will analyze the dimensions of each term involved in the equation. ### Step 1: Identify the dimensions of each variable - **Displacement \( x \)**: The dimension of displacement is length, denoted as \( [L] \). - **Amplitude \( a \)**: The amplitude is also a measure of length, so its dimension is \( [L] \). - **Angular velocity \( \omega \)**: Angular velocity is defined as the rate of change of angle with respect to time. It can be expressed as: \[ \omega = \frac{2\pi}{T} ...
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