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

1 Answer
Jan 26, 2018

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#