Question

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

Answer 1

Relationship between time period(

T

) and length (

L

) of the string of a pendulum is given as,

T

=

2

π

√

L

g

(where g is acceleration due to gravity on earth)

So,we can write,

T

=

2

π

√

g

√

L

Now,compare this with

y

=

m

x

So, Graph of

T

vs.

√

L

will be a straight line passing through origin,where slope=

tan

θ

=

2

π

√

g