[Video] Q32: P = 686qthe formula above gives the theoretical power p, in kilowatts (kw), available from water falling from a certain height in terms of its flow rate, q, in cubic meters per second. what is the flow rate, in cubic meters per second, of water falling from the same height with a theoretical power of 1,029,000 kw?

Explanation for Question 32 From the Math (Calc) Section on the 2019 October Sat

Now for number 32, they've told us that we're going to use this equation, 2 right? Where P is the power it says right here. 3 And then Q is the flow rate. And then in the question, 4 they're asking us to find the flow rate. So they're asking us to solve 5 for Q when P is just over a million, 6 right? So first let's plug in our numbers. 1,029,000, 7 um, is equal to 698 times Q and we're going to solve for Q 8 here. And in order to do that, we need to divide both sides by 9 698, this 698 will cancel. 10 And when you do that division, you get 1,474. 11 Right? And so on the answer for you, they've rounded that to 1,500. 12 Um, so looking at our question closely, 13 it tells us that we have a flow rate Q and cubic meters per 14 second. Um, and so there's really nothing in this problem that tells you 15 that you need to round it. 16 And so I think that's kind of a printing error here, 17 because there really is no part of this problem that would tell you that 18 you need to round to the nearest hundred. Right. 19 Um, and so I wouldn't worry too much about the rounding, 20 but more so about the process here, 21 the most important thing is that, you know, that you had to divide by 22 the 6 98 and plug it in. So if you've got this answer, 23 um, don't be concerned that you didn't get the 1,500, 24 because I think this question really needs another sentence to tell you that they 25 wanted you to round here. Um, but either way, 26 the answer key says 1,500, 27 but if you got this answer, then you did the math correctly.

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