Application 2 - Velocity And Acceleration In Polar Coordinates - HP 50g User Manual

a
2.5
7.2
21.92
41.92
10.27
17
Adding an INFO button to your directory
An information button can be useful for your directory to help you remember the
operation of the functions in the directory. In this directory, all we need to
remember is to press @TRISO to get a triangle solution started. You may want to
type in the following program:
in a variable called INFO. As a result, the first variable in your directory will be
the @INFO button.

Application 2 - Velocity and acceleration in polar coordinates

Two-dimensional particle motion in polar coordinates often involves determining
the radial and transverse components of the velocity and acceleration of the
particle given r, r' = dr/dt, r" = d
The following equations are used:
Create a subdirectory called POLC (POLar Coordinates), which we will use to
calculate velocities and accelerations in polar coordinates. Within that
subdirectory, enter the following variables:
Program or value
<< PEQ STEQ MINIT NAME LIST MITM MSOLVR >>
"vel. & acc. polar coord."
{ r rD rDD D DD vr v v ar a a }
{ 'vr = rD' 'v = r* D' 'v = (vr^2 + v ^2)'
'ar = rDD r* D^2' 'a = r* DD + 2*rD* D'
'a = (ar^2 + a ^2)' }
b c
6.9837 7.2
8.5 14.26 22.616
17.5 13.2
23 29.6
3.26 10.5
25 32
<<"Press [TRISO] to start." MSGBOX >>,
&
v r
r
v r
20.229 75
27
90 52.98
75 32
77 18
31.79 50.78
2 2
r/dt , , ' = d
& &
a r r
r
& & &
a r
A
84.771 8.6933
130.38 23.309
37.03 115.5
73 328.81
85 16.66
97.44 210.71
/dt, and, " = d
&
2
& &
2 r
Store into variable:
SOLVEP
NAME
LIST
PEQ
and store it
2 2
/dt .
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