9 Replies Latest reply: Feb 27, 2012 9:47 PM by VladimirN.

# PlanetPTC Virtual - Mathcad Challenge

Thursday, April 14, 2011 @ 1PM EST is the PlanetPTC Virtual - Mathcad event. Registration is open >>

During this virtual event:

• Get a sneak peek of Mathcad Prime 2.0
• Learn the Mathcad product strategy and Prime 2.0 product development goals
• See the power of Mathcad Prime 1.0 in a Tips & Tricks demo
• Hear a customer-use case. PlanetPTC Community's own Roger Mansfield, Principal Engineer of Astronomical Data Service, shares how he uses Mathcad in his work as an aerospace engineer.
• Enter for a chance to Win a \$100 AMEX Giftcard by solving the Mathcad Challenge - 5 winners will be selected!

At the conclusion of each of the three conference sessions, the presenter will provide a clue to the audience. Collect all three clues, answer the problem statement below using Mathcad Prime 1.0, and email your worksheet to mathcadchallenge@ptc.com.

The winners will be chosen based on the accuracy of solution; Mathcad Prime 1.0 must be used to calculate the solution. Out of all correct answers, 5 winners will be selected at random. The deadline for submission is Monday, April 18 at 11:59PM EDT.

##### The Challenge Problem Statement

A train leaves New York at 9:45am EDT, heading for San Francisco...

The train system consists of a straight-line tunnel connecting the two cities. The train uses a MAGLEV (magnetic levitation) system consisting of permanent magnets in the tracks and superconductive electromagnets in the train. To accelerate it uses a combination of electromagnetic force and gravitational pull of the Earth. The deceleration comes also from the gravitational pull of the Earth, as well as aerodynamic drag of the train.
Problem: Compute the arrival time in San Francisco assuming constant propulsion force.

Simplifying assumptions:

• We are ignoring the cost, or the feasibility, of building such a system
• We are assuming that the gravitational pull of the Earth is constant throughout the tunnel
• We are assuming the air in the tunnel is at standard atmospheric conditions (see simplified formula on next page)
• We assume that the resistance of the tracks is zero, so that all of the energy loss comes from the aerodynamic drag
• Use the constants provided on the next page to solve the problem

References: (1) Wikipedia (2) Google Maps

The 3 Input parameters will be revealed as “clues.” One clue will be revealed after each conference session.

1. Mass of the train (mtrain) =X metric tons
2. Effective drag coefficient of the train (Cd) =X
3. Effective frontal area of the train (Atrain) is =Xm2

Email your worksheet to mathcadchallenge@ptc.com Official Sweepstakes Rules

It will be quite difficult to win if you don't attend. Register for this free event >>

• ###### Re: PlanetPTC Virtual - Mathcad Challenge

I just remembered that you'll probably need to download Mathcad Prime 1.0 so you can submit your entries.

Good luck!

-Dan

• ###### Here's a file to get you started with the Mathcad Challenge

Hi all,

Once you have donwloaded Mathcad Prime the easiest way to get started with the challenge is to download and open the attached Mathcad Prime worksheet.

Good luck and enjoy the Mathcad Virtual Event!

Chris Hartmann

• ###### Re: Here's a file to get you started with the Mathcad Challenge

Hello--

Who has calculated an arrival time for the train heading toward San Francisco? Email your worksheet to mathcadchallenge@ptc.com

To get started, download this Mathcad Prime 1.0 worksheet -- it includes the 3 clues. And...you have until 11:59 pm EDT on Monday to submit your answer.

Good luck!

Allison

• ###### Re: Reminder - Submit your Mathcad Challenge worksheet by 11:59 pm EDT today

Hello --

Please submit your Mathcad Challenge worksheets by this evening! Email mathcadchallenge@ptc.com. The contest overview is attached.

Enter for a chance to win a \$100 Gift card -- and bragging rights! 5 winners will be selected. For a Mathcad Prime 1.0 worksheet to get you started, check last Friday's post.

A train leaves New York at 9:45am EDT, heading for San Francisco...

Good luck!

Allison

• ###### Re: PlanetPTC Virtual - Mathcad Challenge - One pretask

Train ticket from Moscow to St. Petersburg is 3500 rubles, and a ticket from St. Petersburg to Moscow is 3000 rubles. Why?

• ###### Re: PlanetPTC Virtual - Mathcad Challenge

See one video-solution here http://communities.ptc.com/videos/1982

• ###### Re: PlanetPTC Virtual - Mathcad Challenge

Dan,

Is there any plans for a new challenge?