What is the comparison of the formula for the period of a pendulum to the equation of a line?

What is the comparison of the formula for the period of a pendulum to the equation of a line?
The formula for the period of a pendulum:
#2pisqrt(l/g)#
The formula for the equation of a line:
#y=mx+c#

1 Answer
Mar 14, 2017

Answer:

The period of the pendulum varies less fast than a straight line, except when #l/g <1#

Explanation:

The period of a pendulum varies like the square root of its length. The square root is always below the straight line, except for #l/g < 1# in which case #sqrt(l/g) > l/g#.