Question

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`

Answer 1

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`.