Question
Tue April 17, 2012 By:
Check the correctness of the following formula using dimensional analysis.
 
t = 2 pie under root l / under root g
where t = time period
l = length of pendulam
&

Check the correctness of the formula:- t = 2 pie under root l/g where t = time period l = length of pendulum g = acceleration due to gravity

Expert Reply
Wed April 18, 2012
t = 2 pie (sqr (l/g))
 
dimensions of t = T
dimensions of l = L0M T0
dimenstion of g = L0MT-2
 
So sqrt(1/g) = sqrt ( L0M T0 / L0MT-2)  = sqrt(T2) = T
 
and 2pie does not have any dimensions
 
So T = T
Home Work Help