Conversion from rpm to 1/s ?

Conversion from rpm to 1/s ? - Сообщения

#1 Опубликовано: 11.04.2018 10:16:36
Topaz

Topaz

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Hi,

i calculated the Reynoldsnumber where i need the revolutions per minute. What struck me was the conversion from rpm to 1/s -> 60rpm = 1 rps = 1 s^-1. According to smath 60rpm = 6,28 s^-1.

Is there a bug or are i'm doing the math wrong?



thanks a lot!
#2 Опубликовано: 11.04.2018 10:38:51
Davide Carpi

Davide Carpi

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please read here (SS-2395) (you can vote and comment it), here or here (and other...)

base unit of a revolution is coded as 2pi radians (not 1), hence the multiplication factor.

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Arie 11.04.2018 10:42:00
#3 Опубликовано: 11.04.2018 10:41:00
Arie

Arie

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This is because the standard unit in SMath for rotation is radian = 2*pi which is ~6.28. If you look at the definition of rpm it is pi/30 1/s or 2*pi/60.

Untitled.png

In order to get the right result you need to divide by 2*pi. What i would suggest is creating your own unit for RPMs as done in the attached.

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Edit: Davide beat me to it.
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#4 Опубликовано: 11.04.2018 11:42:37
Jean Giraud

Jean Giraud

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Wrote

This is because the standard unit in SMath for rotation is radian = 2*π


... and this is because trig functions are numerically approximated in radian.
Those functions are native in Microsoft, used by math software as is.

#5 Опубликовано: 12.04.2018 04:24:30
Topaz

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thanks a lot for your quick reply, good to know
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