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Answer 1 · 2017-02-27T10:55:41

The length is #=1m#

The period of a simple pendulum is

#T=2pisqrt(L/g)#

Period #=Ts#

Length #=L (m)#

Therefore,

#L/g=T/(4pi^2)#

In the first case, we have

#L=(Tg)/(4pi^2)=(4^2*9.8)/(4pi^2)=4m#

In the second case,

#T=60/30=2s#

So,

#L=(4*9.8)/(4pi^2)=1m#