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- Xcelerator and Top Thrill Dragster Question

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Corey

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If you have love for Top Thrill Dragster, copy this and put it in your signature.

MF-26

TTD-11

I HEART OHIO

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I am one.

I am Turbo.

Top Thrill in the front row... anything else is lame

X...Whoa

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Assuming you start with no initial velocity, the calculation to solve for the time to fall the 420 ft is

d(meters) = (0 m/s)*(2.6 s)+ 0.5*(9.8 m/s^2)*(2.6 s)^2

420ft / (3.28 ft/m) = (0 m/s)*(**X** s) + .5*(9.8 m/s^2)*(** X** s)^2

128.016m = 0 + 4.9 m/s^2 * ** X** s^2

26.13 s2 = ** X** s^2

5.11 = ** X** seconds

Then, taking the theoretical fall time of 5.11 seconds, you can solve the speed at the terminus as follows

vf = vi + a*t

vf = 0 + (9.8 m/s2)*(5.11 s)

vf = 50.1 m/s

Multiply by 0.0006214 to convert meters to miles

vf = .03111 miles/s

Then multiply by 3600 (60sec*60Mins)

vf = 111.96 miles/hr

The calculation is close, but again remember, this is assuming that you carry no velocity going over the top.

The readers digest version for xcellerator -

205ft / (3.28 ft/m) = (0 m/s)*(**X** s) + .5*(9.8 m/s^2)*(** X** s)^2

3.57 seconds to fall 205 ft.

vf = 0 + (9.8 m/s2)*(3.57 s)

vf = 34.98 meters/sec = 78.2mph

For more info go to

http://www.glenbrook.k12.il.us/gbssci/phys/Class/1DKin/U1L5a.html

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--George H

Currency Tracking Experiment...Where's George.com

*** This post was edited by redman822 10/7/2003 10:42:41 PM ***

*** This post was edited by redman822 10/8/2003 12:08:15 AM ***

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Conservation of energy:

mgh = 1/2m*v^2

I guess if you want a layman's explanation that may be clearer than Arlok's, think about it this way: (and yes, I know this is an over simplification but it gets the point across)

Decceleration from gravity is 21.93 MPH/s. Thus, for every second that a train is traveling straight up, it slows down by 21.93MPH.

So, for the first second the dragster train travels 120MPH, for the second it travels 100MPH, for the third it travels, 80MPH, 60, 40, (which is about where I think it crests the top).

However, the Xcel train goes 80, 60, 40 (which is about where it crests).

Notice that the dragster train gets a LOT more time traveling at a faster speed than the xcel train, thus it can cover a lot more ground.

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Be polite and ignore the idiots. - rollergator

"It's not a Toomer" - Arnold Schwartzenkoph

"Those who know don't talk and those who talk don't know." -Jeff

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------------------**SWOOSH "proud to be a music major" HOLLON**

MidwestInfoGuide.COM

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Your (non)reasons are bunk, jrhodes.

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- John*Homepark: CP Home-away-from-homepark: PKIMy Campusfish Blog*

*** This post was edited by Michael Darling 10/8/2003 12:15:24 AM ***

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As Mitch always said, "2-in-1 is a BS term, because 1 is not big enough to hold 2. That's why 2 was created.."

-Tomas

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http://www.eecs.umich.edu/~bnoble/

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2003 Parks: Cedar Point, SFWOA, Kennywood, PKI, MIA, SFGAM, SFKK and HW.

Still deciding where to go in 2004.

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