Question

Describe the steps you would take to solve the given literal equation for m as shown

Answer 1

For this case we have the following equation:

`t = 2 \pi\sqrt{(m)/(k)}`

We must clear m:

We passed
`2 \pi`dividing the other side of equality:

`(t)/(2\pi) = \sqrt {(m)/(k)}`

We raise both members to the square:

`(t^2)/(4\pi^2)=(m)/(k)`

Finally, we multiply the value of k:

`(kt^2)/(4\pi^2)=m`

Answer:

The value of m is given by:

`(kt^2)/(4\pi^2)=m`

Answer 2

The steps involved are for making m the subject of the formula.

They are as follows:

t = 2x √(m/k)

divide by 2x on both sides

t/2x = √(m/k)

Square both sides of the equation

(t/2x)² = m/k

t²/4x² = m/k

Multiply by k both sides of the equation

m = kt² / 4x²