cancel
Showing results for
Did you mean:
cancel
Showing results for
Did you mean:

Sort by:

## PTC Mathcad Community Challenge Index and Guidelines

PTC Mathcad Community Challenge is a bimonthly event where we pose a math problem for you to collaborate and solve using Mathcad Prime.
View full tip  ## Mathcad Community Challenge September 2022 - Resistors in Parallel

This month’s challenge is related to electrical engineering. We have a simple circuit with an electrical potential of 220 Volts. Initially we have a single 10 Ohm resistor. Then we add a second resistor in parallel, with 10% higher resistance. Then we add a third resistor in parallel, with 10% higher resistance than the previous resistor. And so on. Calculate the current in the circuit for the single resistor case. Calculate the resistance of each additional resistor and current through each resistor for 2, 3, 4, 5, and 10 resistors in parallel. Can you write a function or program that calculates the resistance of each resistor and current through each resistor for n resistors in parallel? These calculations are fairly straightforward, so it will be interesting to see what tools – vectors, matrices, loops, plots, charts, etc. – that you use to solve the problem. As always, how you document your calculations is important as your worksheet will be visible to the community. Here is an example of three resistors in parallel, as drawn in Creo Schematics:   Find the Mathcad Community Challenge Guidelines here!
View full tip  ## Mathcad Community Challenge July 2022 - Area of a Spherical Triangle

This month's challenge is another geometry-based challenge - but it's non-Euclidean geometry. Given the following three points on a circle of radius 10 units, calculate the area of the spherical triangle: (5.339, 6.948, 4.819) (-4.018, -3.703, 8.375) (6.455, -6.679, -3.705) (Note that the point coordinates are rounded to three decimal places.)   Optional: Can you write a program or function that calculates the area for any three points on the surface? Is there a symbolic evaluation for three generic points (a,b,c), (d,e,f), and (g,h,k)?   Here is a 3D model in Creo 9 of the sphere and points:   Find the Mathcad Community Challenge Guidelines here!   Edit: the coordinates of the second point were incorrect. Wildly incorrect. I have no idea how I wrote down the wrong numbers.
View full tip  ## Mathcad Community Challenge May 2022 - An Isoperimetric Geometry Problem

The first two challenges were biased towards mechanical engineering. May’s challenge pertains to geometry. Create a worksheet in which you calculate (1) the diameter of a circle and (2) the length of a side of a square that yields the minimum combined area for a combined perimeter of 1 meter. This is an optimization problem. What tools within Mathcad can provide you with a result? Optional: How can you depict the results? Can you use a 2D plot or Chart Component to visualize the answer? Find the Mathcad Community Challenge Guidelines here!
View full tip  ## Mathcad Community Challenge March 2022 - Planetary Gear Calculator

Let’s face it, planetary gears are cool. They are used in all kinds of mechanisms, including transmissions, motors, and turbines. Your challenge, should you choose to accept it, is to use Mathcad to build a worksheet that calculates the gear ratios and output speeds of a planetary gear under different configurations. The math behind the gear ratios is straightforward. But users should be able to select: The sun or planet carrier as the input; The planet carrier or ring as the output; and, The ring, sun, or planet carrier as the stationary component. How can the user select the desired component? How can you add intelligence to the worksheet to prevent an incorrect combination of input, output, and stationary? What inputs do you want for your calculator? You will have to make some choices. Your choices could include: Number of planets Number of teeth Component diameters Module / pitch Tools that you might consider include Combo boxes, programs, and functions involving strings. Here are some technical references to get you started: KHK Gears Instructables How Stuff Works Once again, this is a great project for students to work on in teams. Make the worksheet as simple or as complicated as you want. Others can build on your work, and you can build on others. Let’s see what the community can create! Good luck!   Find the Mathcad Community Challenge Guidelines here!
View full tip  ## Mathcad Community Challenge January 2022    