Question

If $T=\frac{1}{r}\sqrt{\frac{T}{\pi d}}$ , make $d$ the subject of the formula.

Answer 1

We have,

$T=\frac{1}{r}\sqrt{\frac{T}{\pi d}}$

On taking square both sides, we get

$T^2={\left(\frac{1}{r}\sqrt{\frac{T}{\pi d}}\right)}^2$

$T^2=\frac{1}{r^2}\times \frac{T}{\pi d}$

$d=\frac{1}{r^2}\times \frac{T}{\pi T^2}$

$d=\frac{1}{r^2\pi T}$

Hence, this is the answer.