Question

This is a question that follows a lab in which we aredetermining the length of a pendulum. The question is:

Using algebra and the rules in the Lab References, propagatethe error in the quantity (T/2p)2, where the uncertainty in T isu{T}. That is, derive the expression in the same mannar as shownfor u{l}, justifying each step.

To derive u{l} they did the following steps:

l=g(T/2p)2

u{l}=u{g(T/2p)2}

u{l}=u{(g/(2p)2)T2}

u{l}=(g/(2p)2)u{T}

They then combined this equation with u{T2}=(2T)u{T} to comeup with the following:

u{l}=(g/2p2)(2Tu{T})

u{l}=(g/2p2)(2T)(T/T)(u{T})

u{l}=(g[T/2p]2)(2u{T}/T)

u{l}=2l(u{T}/T)

I'm not sure how to relate this to determine how to propagatethe error for (T/2p2), which is what the question is asking of me.Any help would be greatly appreciated! Thanks!