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    Ensure's Avatar
    Ensure Posts: 8, Reputation: 1
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    #1

    Jul 29, 2007, 02:06 AM
    Transposing formulas
    1. If watts = joules/seconds find joules

    2. if kWh=kwxhours, find kw

    3. If R = p*/a find *

    4. if e = 1/2 mV2 find v

    5. If p= mgh/t , find g

    Ive tried to do these and basically need to see if my answers match someone that can do them. I never transposed at high school, so therefore don't really know how, appreciated
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Jul 29, 2007, 03:47 AM
    Just remember that whatever you do to one side, you must also do to the other side.

    So I'll do the hardest one here as an example

    if e = 1/2 mV2 find v



    Multiply both sides by 2



    Divide both sides by m



    Take square root of both sides



    By using this method, it's very easy to transpose any formula with very few errors.
    Ensure's Avatar
    Ensure Posts: 8, Reputation: 1
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    #3

    Jul 29, 2007, 11:30 PM
    Transposing part 2
    1. If watts = joules/seconds find joules - not sure if correct

    I come up with joule= watts/seconds ?

    2. if kwh=kw x hours, find kw - Not sure if correct

    I come up with kw = 1 x h

    3. if R = p*/a , find * - I know this wrong, need to know why

    I come up with r/a = p*

    4. if p = mgh/t, find g - I know this wrong I don't know how to break it down properly

    I come up with like mgh= pt
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #4

    Jul 29, 2007, 11:33 PM
    for 1 you are wrong, you need to multiply both sides by seconds

    for 2 you are wrong, where did 1 come from? You need to divide both sides by hours.

    for 3 you need to divide both sides by p and multiply both sides by a

    for 4 you need to multiply both sides by t, and divide both sides by mh.

    Study the example I gave again, it contains all the transformations that you need to do here.
    Number 3 is a little weird, you don't normally "find *". * is never used as a variable, it normally indicates some transformation.
    Ensure's Avatar
    Ensure Posts: 8, Reputation: 1
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    #5

    Jul 29, 2007, 11:37 PM
    Quote Originally Posted by Ensure
    1. If watts = joules/seconds find joules - not sure if correct

    i come up with joule= watts/seconds ?

    2. if kwh=kw x hours, find kw - Not sure if correct

    i come up with kw = 1 x h

    3. if R = p*/a , find * - i know this wrong, need to know why

    i come up with r/a = p*

    4. if p = mgh/t, find g - i know this wrong i dont know how to break it down properly

    i come up with like mgh= pt
    But I don't know how to multply it by what, joules/seconds / watts/seconds, this is confusing . Same with th hours one
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #6

    Jul 30, 2007, 12:09 AM
    watts = joules/seconds

    multiply both sides by seconds

    Watts*seconds = joules*seconds/seconds

    now seconds/seconds = 1 so

    watts*seconds = joules.

    Can you do the same with the rest?
    lukivr's Avatar
    lukivr Posts: 1, Reputation: 1
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    #7

    Sep 21, 2011, 01:13 PM
    I know that I'm a few years late on this answer, but all the info on the net says the same thing so I'm going to attack this a bit differently for those that came here by a search:

    Tips on transposing:
    Basic terminology
    To transpose an equation is to end up with a specific single unknown on one side of an equation with the remaining known elements on the other side of the equation. An equation is a statement between two equal sides. For example:
    A = B + C
    It is important to recognize the 2 sides of an equation are on either side of the equals sign. This example has the letter A on the left side and B + C on the right side. Since both sides are equal, you can switch the two sides without changing the equation, like this:
    B + C = A
    I'm sure most people recognize that A=B+C is the same as B+C=A. Why is this important? It's usually easier to move the specific unknown to the left side when solving.

    Solving an equation that has only addition or subtraction
    For example:
    A = B + C Solve for B.
    First, rewrite the equation so the unknown is on or part of the left side.
    B + C = A
    Now, we want B alone on the left side. Right now the left side is B + C. How would you get rid of C? (hint: do the opposite of what is currently being done). In this case C is added to B so then we must subtract it. To keep both sides equal we must do the same thing to both sides.
    B + C – C = A – C (above equation with C subtracting from both sides)
    This will reduce to:
    B = A – C This is now solved for B.


    Solving an equation that has only multiplication
    For example:
    D = EF
    It is assumed that two letters beside each other are multiplied. The example could be also written like:
    D = E x F
    To solve this example for F we would first rewrite the equation so the unknown (F) is on or part of the left side, like this:
    EF = D
    Now, we want F alone on the left side. Right now the left side is EF. How would you get rid of E? (hint: do the opposite of what is currently being done). In this case E is multiplied to F so then we must divide by E. To keep both sides equal we must do the same thing to both sides.
    EF/E = D/E (above equation dividing both sides by E)
    Since E/E is equal to 1, this equation will reduce to:
    F = D/E This is now solved for F.

    Solving an equation that has only division
    For example:
    C = D/E
    To solve this example for D we would first rewrite the equation so the unknown (D) is on or part of the left side, like this:
    D/E = C
    Now, we want D alone on the left side. Right now the left side is D/E . How would you get rid of E? (hint: do the opposite of what is currently being done). In this case D is divided by E so then we must multiply by E. To keep both sides equal we must do the same thing to both sides.
    E x D/E = C x E (above equation multiplying both sides by E)
    This will reduce to:
    D = CE This is now solved for D.

    Solving an equation that with division and multiplication
    Example:
    B = CD/E Solve for D.
    To solve this example for D we would first rewrite the equation so the unknown (D) is on or part of the left side, like this:
    CD/E = B
    Now, we want D alone on the left side. Right now the left side is CD/E . How would you get rid of E and C? Do this in two steps. Let's pick E first. Right now E is dividing the left side so let's multiply the left side by E (which means you have to do it do both sides to stay equal).
    E x CD/E = B x E (above equation multiplying both sides by E)
    This will reduce to:
    CD = BE
    Now we must get rid of C on the left by dividing by C. Do this for both sides to stay equal.
    CD/C = BE/C
    This will reduce to:
    D = BE/C This is now solved for D.



    Solving an equation that has the unknown in the denominator
    Example:
    B = CD/E Solve for E.
    Now, we want E alone on the left side, but we have a problem. If we just get rid of C and D we will solve for 1/E not E. E must be above the dividing line to be useful. How can we get E as a regular number? (The real terminology is E is the denominator and we want it as a numerator)
    Anytime you are solving for an unknown that is a denominator (the bottom part of a fraction) you must multiply both sides by itself. Like so:
    E x B = CD/E x E (above equation multiplying both sides by E)
    This will reduce to:
    EB =CD
    Now we must get rid of B on the left by dividing by B. Do this for both sides to stay equal.
    EB/B = CD/B
    This will reduce to:
    E= CD/B This is now solved for E.



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