Question

Calculate the length of second pendulum from the surface of the earth

Answer 1

Answer:

0.994 m

The seconds pendulum (also called the Royal pendulum), 0.994 m (39.1 in) long, in which each swing takes one second, became widely used in quality clocks.

Answer 2

$\huge\underline{\red{\mathbb{ANSWER :-}}}$

We know that the time period of a second pendulum is 2s .

At earth ,

               T=2π  l  e /g  e

​     2=2π  l  e /g  e

​or             g e  =π  2  l  e

​   _____________-____eq1

At moon ,

               T=2π  l  m /gm

​or             2=2π  l m  /(g  e /6)

​  , given   g  

m =g  e/6

or             2=2π  6l   /π  2  l  e

,   putting the value of g  

m

​  

from  eq1

or             l  m =le /6

Now , given  le =1m

Hence ,     l m

​  

=1/6m