What should be the length of a simple pendulum whose time period is one second? What is its frequency? ((1) = 0.25 m (ii) f = 1 cps)



Given:

The time period of the simple pendulum = T = 1 s

Value of acceleration due to gravity = g = 9.8 m s⁻²


To Find:


Length of second pendulum = L = ?

Frequency = f = ?

Solution:


The formula for the Time Period of a simple pendulum is 

T = 2π Lg

To separate the L from this formula we will take square on both sides and by simplifying we get

L = T2g(2π)2

by putting values

L = (1s)29.8ms²(23.1416)2
 
L = 1s²9.8ms²(6.283185)2

L = 9.8m39.478

L = 0.248 m ------------Ans.(1)



As frequency f and time period T are related inversely ie.

f = 1T 

= 11s 

= 1 Hz 

or 

= 1 cps------------Ans.(2)


************************************

Shortcut Links For 


1. Website for School and College Level Physics   
2. Website for School and College Level Mathematics  
3. Website for Single National Curriculum Pakistan - All Subjects Notes 

© 2022-Onwards by Academic Skills and Knowledge (ASK    

Note:  Write me in the comment box below for any query and also Share this information with your class-fellows and friends.