To solve the equation [tex]\( W = \frac{F d}{2} \)[/tex] for [tex]\( d \)[/tex], follow these steps:
1. Identify the given equation:
[tex]\[
W = \frac{F d}{2}
\][/tex]
2. Isolate the term involving [tex]\( d \)[/tex]:
To solve for [tex]\( d \)[/tex], you need to get [tex]\( d \)[/tex] by itself on one side of the equation. Start by eliminating the fraction. Multiply both sides of the equation by 2 to get rid of the denominator:
[tex]\[
2W = Fd
\][/tex]
3. Solve for [tex]\( d \)[/tex]:
Now that you have [tex]\( Fd \)[/tex] on one side of the equation, divide both sides by [tex]\( F \)[/tex] to isolate [tex]\( d \)[/tex]:
[tex]\[
d = \frac{2W}{F}
\][/tex]
4. Final equation:
The solution to the equation [tex]\( W = \frac{F d}{2} \)[/tex] for [tex]\( d \)[/tex] is:
[tex]\[
d = \frac{2W}{F}
\][/tex]
Hence, the value of [tex]\( d \)[/tex] in terms of [tex]\( W \)[/tex] and [tex]\( F \)[/tex] is [tex]\( d = \frac{2W}{F} \)[/tex].
