Question #3aa50

1 Answer
Antoine · Tutor B. · Michael
Jul 29, 2015

#l=981" cm"#

Explanation:

The period of oscillation of a simple pendulum is obtained from the formula : #T=2*pi*sqrt(l/g)#

And since #T=1/f#

We can write #1/f=2*pi*sqrt(l/g)#

#=>(1/f)^2=(2*pi*sqrt(l/g))^2#

#=>(1/f^2)=4*pi^2*l/g#

#=>l=(g/f^2)/(4*pi^2)=((981" cm s"^-2)/(1" s"^-1)^2)/(4*pi^2)=color(blue)(24.851" cm")#

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