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Make L the Subject of Formula T = 2 π √ L G - Mathematics

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Question

Make L the subject of formula T = `2pisqrt("L"/"G")`

Sum

Solution

T = `2pisqrt("L"/"G")`

⇒ `"T"/(2pi) = sqrt("L"/"G"`

squaring both sides

⇒ `("T"/(2pi))^2 = "L"/"G"`

⇒ `"G"("T"/(2pi))^2` = L

⇒ L = `("GT"^2)/(4pi^2)`.

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Changing the Subject of a Formula
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Chapter 6: Changing the subject of a formula - Exercise 6.2

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Frank Mathematics [English] Class 9 ICSE
Chapter 6 Changing the subject of a formula
Exercise 6.2 | Q 2
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