Classical Is the Formula for Simple Pendulum Period Incorrect?

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The discussion centers on the formula for the period of a simple pendulum, T_0 = 2π√(g/L), which is claimed to be dimensionally incorrect. Participants express concern that the fraction is inverted, leading to the conclusion that the formula may be erroneous. The validity of the formula is supported by references to Wikipedia and Hyperphysics, which both provide alternative perspectives on the correct expression for the period of a simple pendulum. The conversation highlights the importance of accurate dimensional analysis in physics equations and the reliance on reputable sources for clarification.
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In the section on approximation methods, the formula for the period of a simple pendulum of length ##L## is given by:
$$T_0 = 2\pi \sqrt{\frac{g}{L}}$$
I am no expert on simple harmonic motion, but it is clear that the equation is dimensionally incorrect.
The problem is, the power series used is in accordance with the (possibly) faulty expression I wrote above. Thoughts?
 

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Yes I would say that is a mistake - the fraction is the wrong way up. I had a feeling it was, but I checked and Wikipedia agrees. Their equation is given with a citation, but if you prefer, I have found Hyperphysics a reliable source of help with physics problems, and it shares my view.
 

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