(12C Platinum) Parabola - arc length - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: HP Software Libraries (/forum-10.html) +--- Forum: General Software Library (/forum-13.html) +--- Thread: (12C Platinum) Parabola - arc length (/thread-13201.html) |
(12C Platinum) Parabola - arc length - Gamo - 06-29-2019 10:22 AM The Arc Length of a Parabola calculator compute the arc length (S) of a parabola based on the distance height (H) and the width (L) of the parabola at that point perpendicular to the axis. ---------------------------------------------------------------- The formula for determining the length of an arc of a Parabola. [attachment=7403] ---------------------------------------------------------------- Instruction: FIX 4 1. H [R/S] display Height 2. L [R/S] display Answer of the Arc Length of a Parabola ---------------------------------------------------------------- Example: H is 20 feet and L is 90 feet, what is the length of S? 20 [R/S] display 20.000 90 [R/S] display 100.7376 Answer: 100.7376 feet To check answer for difference problem or check if this program give correct answer. URL: https://www.vcalc.com/wiki/vCalc/Parabola+-+arc+length --------------------------------------------------------------- Program: ALG mode Code:
Gamo RE: (12C Platinum) Parabola - arc length - Domino - 06-30-2019 08:33 AM Hello, Here is a rpl solution for the HP11C : Code:
Instructions : H [enter] L [A] Regards Dominique RE: (12C Platinum) Parabola - arc length - Gamo - 06-30-2019 11:35 AM Parabola -arc Length program in RPN mode using this formula: [attachment=7413] --------------------------------- Instruction: H [ENTER] L [R/S] display Answer of Parabola arc length H is the Height L is the distance from both end -------------------------------- Example: FIX 4 H is 20 feet and L is 90 feet, what is the length of S? 20 [ENTER] 90 [R/S] display 100.7376 Answer: 100.7376 feet -------------------------------- Program: RPN mode (For HP-12C replace [X^2] to [ENTER] [x] Code:
Gamo RE: (12C Platinum) Parabola - arc length - Gamo - 07-01-2019 09:12 AM Thanks Dominique Here is another version without using any STO registers and only use the stacks. This can be adapted to HP-11C as well. Procedure is the same: H [ENTER] L [R/S] display Parabola Arc Length Program for HP-12C Platinum on RPN mode Code:
Gamo RE: (12C Platinum) Parabola - arc length - StephenG1CMZ - 07-02-2019 09:18 AM (06-29-2019 10:22 AM)Gamo Wrote: The Arc Length of a Parabola calculator compute the arc length (S) The formula given in your image can be optimised, unless LN is a natural log. It includes two instances of LN: LN4 and LN(). Where N = H/L Thus LN 4 can be optimised to LH/L = H, and similarly for LN() if that is an implied multiply and not a natural logarithm. RE: (12C Platinum) Parabola - arc length - Domino - 07-03-2019 07:35 AM Hello, This the trap ! In the formula, LN is the neperian logarithm, and not LxN ! However, you can optimize the computation : the steps sequence "ln 4 ln +" can be replace with "4 * ln". Dominique RE: (12C Platinum) Parabola - arc length - Gamo - 07-03-2019 08:14 AM Hello, thanks to StephenG1CMZ and Dominique Yes Post#1 Formula look very tricky and thanks for the head up on that formula. On Post#3 that formula is a good one to use. Thanks Gamo RE: (12C Platinum) Parabola - arc length - PedroLeiva - 07-03-2019 10:07 PM One more parameter can be calculated with the same data, the Surface: A= 2/3 * H * L For H= 20 and L= 90, A= 1200.00 You only need to store H in R3 and actívate LBL B with the following sequence: LBL B 2 ENTER 3 / RCL 0 RCL 3 x x RTN Pedro RE: (12C Platinum) Parabola - arc length - Albert Chan - 07-11-2019 04:19 PM For HP-11C, code can be shortened using identity: asinh(x) = ln(x + √(x^2+1)) parabola arc length = (asinh(x)/x + √(x^2+1)) * L/2, where x=4H/L Doing everything on the stacks, we have: Code: 01 LBL A ; Instructions : H [enter] L [A] |