taking derivatives, you have
dT = π/√(gL) dL
Now, to find the % change of T, you take
dT/T
You would expect it to be about 1/2 the change in L, since you have roughly
T^2 = kL
2T dT = k dL
the time period T for a simple pendulum of length l is given by T=2π⋅√(l/g) where g is a constant.
find the percentage change in T when l changes by 6%
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