
MHB Master
#1
January 4th, 2018,
15:23
$\tiny{\\ eb 4.d}$
$\textsf{If $v_x=9.80$ units and $v_y=6.40$ units,}\\$
$\textit{determine the magnitude and direction of $V$.}$
\begin{align*}\displaystyle
magnitude&=\sqrt{(9.8)^2+(6.4)^2}
=\color{red}{11.7047}\\
direction&=\arctan{\left[\frac{6.4}{9.8}\right]}
=\color{red}{33.15^o}
\end{align*}
ok the direction is actually in the Q4 but $\arctan{\left[\frac{6.4}{9.8}\right]}$
is in Q1! Do we just add $180^o$ for that or is it $33.15^o$
Also is there symbols for magnitude and direction other than an arrow on the graph
Also where is the latex for degree instead of ^o

January 4th, 2018 15:23
# ADS
Circuit advertisement

Pessimist Singularitarian
#2
January 4th, 2018,
15:43
Originally Posted by
karush
$\tiny{\\ eb 4.d}$
$\textsf{If $v_x=9.80$ units and $v_y=6.40$ units,}\\$
$\textit{determine the magnitude and direction of $V$.}$
\begin{align*}\displaystyle
magnitude&=\sqrt{(9.8)^2+(6.4)^2}
=\color{red}{11.7047}\\
direction&=\arctan{\left[\frac{6.4}{9.8}\right]}
=\color{red}{33.15^o}
\end{align*}
ok the direction is actually in the Q4 but $\arctan{\left[\frac{6.4}{9.8}\right]}$
is in Q1! Do we just add $180^o$ for that or is it $33.15^o$
The direction would be in quadrant III, and so recognizing that both components are negative, you would in fact add $\pi$ to the angle:
$ \displaystyle \theta=\pi+\arctan\left(\frac{v_y}{v_x}\right)$
Originally Posted by
karush
Also is there symbols for magnitude and direction other than an arrow on the graph
Also where is the latex for degree instead of ^o
I use ^{\circ} for the degree symbol.

MHB Master
#3
January 4th, 2018,
16:38
Thread Author
Originally Posted by
MarkFL
The direction would be in quadrant III, and so recognizing that both components are negative, you would in fact add $\pi$ to the angle:
$ \displaystyle \theta=\pi+\arctan\left(\frac{v_y}{v_x}\right)$
$\textsf{ok so it}$ $ \displaystyle 33.15^\circ + 180^\circ = 213.15^\circ $
that would place it Q3
Originally Posted by
MarkFL
I use ^{\circ} for the degree symbol.
actually why don't we have \degree on the Symbol/Command Set:

Pessimist Singularitarian
#4
January 4th, 2018,
16:46
It was an oversight I suppose, but adding it now would require a lot of effort.

MHB Master
#5
January 4th, 2018,
17:00
Thread Author
I completely understand