What is the comparison of the formula for the period of a pendulum to the equation of a line, y=mx + c?

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What is the comparison of the formula for the period of a pendulum to the equation of a line, y=mx + c?

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Answer 1 · 2018-01-26T09:17:48

Relationship between time period( $T$ ) and length ( $L$ ) of the string of a pendulum is given as, $T=2pisqrt(L/g)$ (where g is acceleration due to gravity on earth)

So,we can write, $T= 2pi/sqrtg sqrtL$

Now,compare this with $y=mx$

So, Graph of $T$ vs. $sqrt L$ will be a straight line passing through origin,where slope= $tan theta$ = $2pi/sqrtg$

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What is the comparison of the formula for the period of a pendulum to the equation of a line, y=mx + c?

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