What is the answer to solvefor k,T=2pisqrt(m/k) ?

The answer to solvefor k,T=2pisqrt(m/k) is k=(m*4pi^2)/(T^2)

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solvefor k,T=2pisqrt(m/k)

solve for

k, T = 2 π \frac{m}{k}

k = \frac{m \cdot 4 π ^{2}}{T ^{2}}

Solution steps

T = 2 π \frac{m}{k}

Switch sides

2 π \frac{m}{k} = T

Divide both sides by

2 π

\frac{m}{k} = \frac{T}{2 π}

Square both sides:

\frac{m}{k} = \frac{T ^{2}}{4 π ^{2}}

\frac{m}{k} = \frac{T ^{2}}{4 π ^{2}}

Solve

\frac{m}{k} = \frac{T ^{2}}{4 π ^{2}} : k = \frac{m \cdot 4 π ^{2}}{T ^{2}}

k = \frac{m \cdot 4 π ^{2}}{T ^{2}}

2 x + 2 = 6

x - 4 + 6 = x

x^{2} - 4 x = 3 x^{2} - 4 x + 20 - 10

2 x - 36 - 2 x = 6

x + 7 - x = 1

What is the answer to solvefor k,T=2pisqrt(m/k) ?
The answer to solvefor k,T=2pisqrt(m/k) is k=(m*4pi^2)/(T^2)