Mechanics of matericals algebra question

[CRich]

mechanics of matericals ... algebra question

I'm currently in Mechanics of Materials and I have reduced my problem to something similar to: 510/7.6=8.25/((pi/4)*d^2)

how do I solve for d? I have been given the answer (from the back of the book) but i don't remember how to solve for d...by the way the above numbers are random and not from my text...but it is similar...thx crich

 

[minger]

Are you familiar with the concept of inverse operations?
$$\frac{510}{7.6} = \frac{8.25}{(\pi/4)d^2}$$
You can multiply the pi/4 to the otherside, divide by 8.25, inverse both sides, then take the square root.

 

[Mene]

To solve for d in this equation, you will need to use the algebraic concept of isolating the variable. This means you need to rearrange the equation so that d is on one side of the equal sign and all other terms are on the other side. To do this, you will need to use inverse operations to cancel out terms. In this case, you can start by multiplying both sides by 7.6 to get rid of the denominator on the left side of the equation. Then, you can divide both sides by 8.25 to isolate d. This will give you the value of d in terms of the other numbers in the equation. Remember to check your work by plugging the value of d back into the original equation and making sure it equals the given answer.