Thursday, June 16, 2016

Casio Classpad Functions: Coordinate, Bearing, Slope, Triangle Area, Electric Oscillation, RLC Impedance

Casio Classpad Functions:  Coordinate, Bearing, Slope, Triangle Area,  Electric Oscillation, RLC Impedance 


Nothing like doing some programming while on vacation. :)

Civil Engineering/Geometry:  tcoordin, bearing, cslope, aritri

For the following, enter coordinates in complex number format:  (east coordinate) + (north coordinate)*I  (x + y*i).  For example, enter the coordinate (3, 6) as 3+6i.

Coordinate Calculation - tcoordin



Inputs:  pt, len, ang
pt = point 0, enter as a complex number
len = length of travel
ang = bearing angle (treated as degrees)

Output:
Point 1 (as a complex number)

Function:
approx(pt+compToRect(∠(len,ang°)))

Example:
tcoordin(4 + 5*i, 24.2, -10) returns 27.83234762+0.7977141005*i

Bearing Angle (from East) – bearing

Inputs: pt1, pt2
pt1 = point 1, enter as a complex number (start)
pt2 = point 2, enter as a complex number (end)

Output:
A list of two elements:  length, bearing from point 1 (depending on setting)

Function:
approx({abs(pt2-pt1),arg(pt2-pt1)})

Example:
bearing(-2.2+3i, 4+2i) returns {6.280127387, -9.162347046} (degree mode)

Slope Between two Points (extra) – cslope

Inputs: pt1, pt2
pt1 = point 1, enter as a complex number (start)
pt2 = point 2, enter as a complex number (end)

Output:  Slope from point 1 to point 2.

Function:
approx(im(pt2-pt1)/re(pt2-pt1))

Example:
cslope( 7+7i, 2+16i ) returns -1.8

Area of a Triangle knowing the Vertex Points – aritri



Inputs: pt1, pt2, pt3
pt1 = point 1, enter as a complex number
pt2 = point 2, enter as a complex number
pt3 = point 3, enter as a complex number

Output:  area of the triangle

Function:
approx(abs(.5*(re(p1-p2)*im(p3-p1)+re(p1-p3)*im(p1-p2))))

Example:
aritri(0, 4+7i, 2+5i) returns 3
0 = 0 + 0i


Electrical Functions:  rlcserim, rlcparim, freqosc

Functions for RLC posted are now corrected - EWS 6/26/2016

Impedance of an RLC Series Circuit:  rlcserim



Inputs:
r = resistance (in Ohms)
c = capacitance (in Farads)
l = inductance (in Henrys)
f = frequency (in Hertz)

Output:
z = impedance (in Ohms)

Function:
approx(√(r^2+(2*π*f*l-1/(2*π*f*c))^2))

Example:
rlcserim(10, 500E-6, 2E-3, 2000) returns 26.90130131 ohms

Impedance of an RLC Parallel Circuit:  rlcparim
  
Inputs:
r = resistance (in Ohms)
c = capacitance (in Farads)
l = inductance (in Henrys)
f = frequency (in Hertz)

Output:
z = impedance (in Ohms)

Function:
approx(1/√((1/r)^2+(2*π*f*c-1/(2*π*f*l))^2))

Example:

rlcparim(40, 550E-6, 2E-3, 1000) returns 0.2961851056

Frequency of Electric Oscillation – freqosc

Inputs:
l = coil self-inductance (in Henrys)
c = capacitance (in Farads)

Output:
f = frequency (in Hertz)

Function:
approx(1/(2*π*√(l*c)))

Example:
freqosc(550E-6, 2E-3) returns 151.7482841

Sources:

Casio.  “fx-FD10 Pro User’s Guide” and “fx-50F Plus User’s Guide”.  2014 and 2006, respectively

This blog is property of Edward Shore, 2016.



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