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## 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 >>

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#### Legend

• Correct Answers - 3 points
• Helpful Answers - 1 points