Question

the length of a pendulum varies directly with the square of the period of the pendulum. If a pendulum 2 m long has a period of 4 seconds (s) what is the length of the petroleum with a peroid of 10 s

Answer 1

@pooja195 @zepdrix

Answer 2

@sshayer

Answer 3

Let t be the time period
and l be the length of pendulum.Then
l=kt^2
2=k*4^2
\[k=\frac{ 2 }{ 4^2 }=\frac{ 2 }{ 16 }=\frac{ 1 }{ 8 }\]
\[l=\frac{ 1 }{ 8 }t^2\]
put t=10 and find l

Answer 4

12.5? @sshayer

Answer 5

correct.
l=12.5 m