Welcome to the PF.Noah159 said:
This equation is also problematic. Starting with your equation Q=mc(T2-T1), it looks like you first divided both sides by mc. That is good. What expression did you get? And once you got that expression, what did you do to it to get T2=Q:mc-T1 ?Noah159 said:
So ...Noah159 said:
Yes you can. Here is how and why. Let w = Q:mc. Then your equation becomes T2-T1 = w. Now move things around to get T1 alone on one side. Finally, replace w with what it is the same as, namely Q:mc. This is how algebra works!Noah159 said:
To rearrange a formula, you need to use algebraic manipulation. This involves isolating the variable you want to solve for on one side of the equation by moving all other terms to the other side. You can do this by using inverse operations, such as adding or subtracting, multiplying or dividing both sides by the same number.
The first step is to identify the variable you want to solve for. This will be the variable that is not currently isolated on one side of the equation. Once you have identified this variable, you can start manipulating the equation to isolate it.
No, simply switching the positions of variables will not give you the correct solution. You need to use algebraic manipulation to properly rearrange the formula.
Yes, there are a few rules to keep in mind when rearranging formulas. You should always start by isolating the variable you want to solve for on one side of the equation, and keep the equation balanced by performing the same operation on both sides. Also, be careful when dealing with fractions or negative numbers, as these can sometimes complicate the process.
Yes, the same method of algebraic manipulation can be used to rearrange any type of formula, as long as the equation is balanced and follows the rules of algebra. However, some formulas may be more complex and require more steps to solve for the desired variable.