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Question
Make k the subject of formula T = `2pisqrt(("k"^2 + "h"^2)/"hg"`
Solution
T = `2pisqrt(("k"^2 + "h"^2)/"hg"`
⇒ `"T"/(2pi) = sqrt(("k"^2 + "h"^2)/"hg"`
Squaring both sides
⇒ `("T"/(2pi))^2 = ("k"^2 + "h"^2)/"hg"`
⇒ `"hg"("T"/(2pi))^2 - "h"^2` = k2
⇒ k = `sqrt(("T"^2"hg")/(4pi^2) - "h"^2`.
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