HP 49g+ User Manual page 249

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Program or value
<< PEQ STEQ MINIT NAME LIST MITM MSOLVR >>
"vel. & acc. polar coord."
{ r rD rDD θD θDD vr vθ v ar aθ a }
{ 'vr = rD' 'vθ = r*θD' 'v = √(vr^2 + vθ^2)'
'ar = rDD − r*θD^2' 'aθ = r*θDD + 2*rD*θD'
'a = √(ar^2 + aθ^2)' }
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An explanation of the variables follows:
SOLVEP = a program that triggers the multiple equation solver for the
particular set of equations stored in variable PEQ;
NAME = a variable storing the name of the multiple equation solver, namely,
"vel. & acc. polar coord.";
LIST =
a list of the variable used in the calculations, placed in the order
we want them to show up in the multiple equation solver
environment;
PEQ =
list of equations to be solved, corresponding to the radial and
transverse components of velocity (vr, vθ) and acceleration (ar,
a) in polar coordinates, as well as equations to calculate the θ
magnitude of the velocity (v) and the acceleration (a) when the
polar components are known.
r, rD, rDD = r (radial coordinate), r-dot (first derivative of r), r-double dot
(second derivative of r).
θD, θDD = θ-dot (first derivative of θ), θ-double dot (second derivative of θ).
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Suppose you are given the following information: r = 2.5, rD = 0.5, rDD = -
1.5, θD = 2.3, θDD = -6.5, and you are asked to find vr, vθ, ar, aθ, v, and a.
Store into variable:
SOLVEP
NAME
LIST
PEQ
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