Square Root Practice: Multiplying by 1000NM/kJ

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SUMMARY

The discussion centers on the necessity of multiplying by 1000 NM/kJ during square root calculations, which is fundamentally a units conversion. Participants clarify that multiplying by "1" in the form of 1000 N m/1 kJ maintains the integrity of the conversion, equating 1000 Newton-meters to 1 kilojoule. Additionally, there is criticism regarding inconsistent unit notation, specifically the use of both "M" and "m" for meters, as well as "j" and "J" for joules, indicating a lack of precision in the documentation.

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sandmanvgc
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Summary:: Why are you multiplying by 1000NM/kJ within square root?

Practice problem for FE

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sandmanvgc said:
Why are you multiplying by 1000NM/kJ within square root?
It's just a units conversion. Multiply by "1" whenever you want to convert from one set of units to another (and have the two sets of units in the numerator and denominator with appropriate multipliers to keep the fraction = 1):

$$1 = \frac{1000 N m}{1kJ}$$

Or in words, "1000 Newton-meters is equal to 1 kiloJoule" :wink:
 
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BTW, they appear to be using both "M" and "m" for meters. Or am I misinterpreting something?

1609185386665.png
 
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Yes, just as they use j and J for joules. Pure carelessness.
 
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mjc123 said:
Yes, just as they use j and J for joules. Pure carelessness.
That threw me off
 
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berkeman said:
BTW, they appear to be using both "M" and "m" for meters. Or am I misinterpreting something?

View attachment 275275

They are all over the place with units. They also have [25 + 273K] as if only the second term has units. Totally bizarre.
 

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