Comparative Study of Trek 7200 vs. Trek 4300 in Reference to Temporal Efficiency of Spatial Displacement

Denise W. Ing,* Viet X. Tran,** and Raymond Y. Chow,***

*Department of Cyclology, University of Toronto, Toronto, Ontario, Canada; **Department of Computational Bikology, Wilfred Laurier University, Waterloo, Ontario, Canada; and ***Department of Molecular Bikology, University of Toronto, Toronto, Ontario, Canada.


Using the Trek 4300 as a representative of mountain bikes, and the Trek 7200 as a representative of hybrid bikes, our research provides quantitative data on the efficiency of spatial displacement in terms of temporal passage. Our novel procedures involve incremental chronometers, cellular phone communication, and inter-dimensional portal generation in order to eliminate extraneous variables in measurement. Our inconclusive results strongly suggest that the two bikes are at least equal in capability and that we need more research money.


Introduction

With the increased frequency of bicycle (bike) use within urban city centres, the studies of Bikology and Cyclology are beginning to emerge as academically recognized research fields. The challenges of Comparative Bikology draw on the resources of many fields, since no one field can properly assess which bike is better than another. After the failure of the Schwinn Moab Genome Project (SMGP) and the Marin-Klein Quantum Characterization Initiative (MKQCI), it was clear that classical scientific methods were ineffective in comparing bikes. This paper represents a multi-disciplinary investigative approach to the Comparative Bikology. Specifically, this paper compares the performance of a mountain bike (Trek 4300) with that of a hybrid bike (Trek 7200). The investigators each had their own hypothesii concerning the outcome of this experiment. Since this is such a ground breaking paper, all three (3) of our brilliant hypothesii are listed below:

Hypothesis 1***: Trek 7200 < Trek 4300
Male biking snobs snub their noses at the Trek 7200 because it is a hybrid. One may argue that the Trek 7200 is just as fast or even faster than a mountain bike because of its lighter weight, slicker treads, and larger yet thinner wheels. However, I secretly fear that the Trek 7200 is too girlie to be fast. Hence, I hypothesize that the Trek 4300 is faster than the Trek 7200.

Hypothesis 2*: Trek 7200 > Trek 4300
The speeds of the bikes can be calculated using basic classical mechanics equations. This should give an accurate hypothesis which could then be tested by experiment. Unfortunately, this experiment was done during a spontaneous moment of insanity thus giving little time for calculations. Thus, a hypothesis can only be given by observing of the bikes' components. Through observation of the bikes' components, it is speculated that the Trek 7200 is as fast if not faster than the Trek 4300 due the 7200's lighter weight and slicker treads, which makes it more ideal for asphalt road conditions.

Hypothesis 3**: Trek 7200 ? Trek 4300
I do not like to speculate. The experiment will give us the answers. That is why we do them.

Material and Methods

Operation of the Trek 4300. The Trek 4300 is classified under the family of bicycles known as "mountain bikes." These bikes are manufactured for both uphill and downhill travel on mountainous terrain. This particular model has been modified with dual NightHawk lights as a safety precaution, as this experiment was conducted at night. The Trek 4300 can achieve locomotion under manual power. The rider sits on the bike seat, applies an oscillating rotational force on the two pedals (with left and right pedal forces being 180 degrees out of phase), and maintains dynamic equilibrium using the handlebar interface.

Operation of the Trek 7200. The Trek 7200 is classified under the family of bicycles known as "city bikes" or "hybrids." Many people falsely believe that the hybrids are the result of rampant cross-breeding between mountain bikes and racers. Hybrids are manufactured to provide a chimerical mix of the fast and lightweight features of a racer and the stability and durability of a mountain bike. This particular model was not modified with lights as caution was thrown to the wind. In addition, this model is equipped with seat post suspension which is thought to assist in the invocation of a "dream-like state." The locomotive systems of the Trek 4300 are directly compatible with those of the Trek 7200. It is worth noting that familiarity with the locomotive systems of bicycles is thought to be perpetually intuitive once initially acquired.

Elimination of Variation Between Riders. Unless one is an uneducated twit, one must realize that in sophisticated comparative experiments such as this, unknown variables must be eliminated. The only variable in this experiment should be the two bikes while everything else is constant. In order to achieve this, there must be no variation in the performance of the bicycle riders. The most obvious way to achieve this is to create an exact duplicate of the rider. Since human cloning has been declared illegal, an exact duplicate must be acquired from a parallel dimension. After thorough research into revelant literature, a standard method of inter-dimensional portal generation was found. To open a dimensional portal, two of the scientists would have to ride their bikes in opposite directions in a circular motion as the third scientist stands in the middle, making random arm motions as shown in Illustration 1.0. This procedure was attempted in a remote location, where accidental inter-dimensional being exchange could be readily controlled. As a standard courtesy to all who value our way of life in this universe, it is important to close all portals upon conclusion of the experiment. Please report any careless portal openers to your local inter-dimensional portal enforcement team.

Measurement of Temporal Passage. This stage of the experiment required precision timing and quick reflexes. This is why this experiment was conducted in the pitch black darkness of night, while the investigators were experiencing a temporary fit of madness. Cycle scientist #1 (referred to as the starter) at starting point A, makes a cell phone call to cycle scientist #2 (referred to as the timekeeper) at ending point B. Cyclist scientist #3 (referred to as the cyclist) accelerates the Trek 4300 to the maximum attainable speed, across point A. The starter signals the timekeeper to initiate the incremental chronometer (referred to as the stopwatch). Upon receiving the signal, the timekeeper does indeed initiate the stopwatch. The cell phone call is terminated at this point. The cyclist continues to maintain maximum speed through application of rotational force on both pedals located on the bicycle, while maintaining dynamic equilibrium using the handlebar interface. The timekeeper stops the stopwatch as the cyclist crosses point B and records the results. This was then repeated with the Trek 7200. Continue the experiment with different cyclists riding the bikes until the desired amount of trials have been performed.

Results

Table 1.0: Temporal Measurements of Fixed Spatial Displacement

Trial

Cycle Scientist

Bike

Time (s)

Uncertainties (s)

1

Tran

Trek 7200

14.83

+/- 0.005

2

Tran

Trek 4300

15.93

+/- 0.005

3

Tran

Trek 4300

15.04

+/- 0.005

4

Tran

Trek 7200

17.98

+/- 0.005

1

Chow

Trek 4300

18.05

+/- 0.005

2

Chow

Trek 7200

20.4

+/- 0.005

1

Ing

Trek 4300

21.7

+/- 0.005

2

Ing

Trek 7200

22.5

+/- 0.005


Graph 1.0: Bike vs. Time Relationship

Illustration 1.0: Inter-Dimensional Portal Creation

Calculations:
angular velocity = v/r
where v = speed (m/s) and r = radius (m) of the circle

Schrodinger's Equation:


Sample Calculation:
v = 10 km/h = 2.78 m/s
r = 5 m
angular velocity = v/r = 2.78/5 = 0.56 radians/second

2 + 2 = 5

Discussion

Bike Variables and Chaotic Methodology***:
The methodology overall was quite chaotic but improved with each trial as we realized our mistakes and learned to work the stop watch. We probably did not allow for enough rest time in between trials and the fact that the second trials were always slower than the initial trials proves this.

There were also many factors that could have affected the results. The Trek 4300 contained a water bottle and a light battery, while the Trek 7200 did not carry any extra equipment. This would have made the weight difference between the two bikes as much as 5 pounds.

As well, the Trek 4300 is a 18 inch frame while the Trek 7200 is a 15 inch frame. The smaller frame was problematic for at least one of our cycle scientists, who is almost 6 feet tall.

Cyclist Variables and Problematic Portal Generation**:
These observations were conducted in real-life conditions, in sub-optimal lighting conditions, and in the presence of variable wind resistance. While the values recorded reflected actual race times, it also introduced uncontrolled factors, the largest of which was cyclist fatigue. To eliminate fatigue, we required an exact duplicate of the cyclist, so that both could ride different bikes down the track simultaneously.

Our scientific team attempted to generate exact duplicates of cyclists by opening a portal to a parallel dimension, as displayed in Illustration 1.0. Due to the limited funding of this project, we were unsuccessful. For more information on standard inter-dimensional portal protocols, refer to [Gary Fisher, Lucy Fer, et al. ‘Bi-rotational torque as a shearing vector of dimensional planes.’ J. App Mech & Demon Mag. 2002 66(6): 268-318.]

Enviromental Variables and Portal Cancellation*:
It should be noted that the experiment was done in non ideal conditions. Factors which may have affect results included sporadic wind conditions, poor path lumination, poor road conditions, and rider fatigue. As shown in Table 1.0 and Graph 1.0, the second trials were slower for each rider, independent of bike model. If this fatigue could be eliminated the results would be more conclusive. The cycle science team determined two possible methods to eliminate fatigue. The first method was to wait until the rider was no longer fatigue before attempting the next trial. The second method was to open a dimensional portal and bring another version of the cycle science team to ride both bikes simultaneously. The latter method was choosen.

In order for the portal to open, the bikes would have to reach the speed of light as explained in my book Dimensional Mechanics: Multiple Me, Chapter 8: Relativity Speaking. Unfortunately the bikes could only reach a maximum speed of 10 km/h or an angular velocity of 0.56 radians/second. Another reason why the portal may not have openned is because another version of the cycle science team from another dimension may have been attempting the same experiement but riding in the opposite direction causing the portals to cancel each other out. This is further explained in my book Dimensional Mechanics: Multiple Me, Chapter 21: Probabilities of Simultaneous Cancellation. Another factor which may have affected the results occurred during trial 4 when the gears of the Trek 7200 suddenly shifted down.

Conclusions

More Funding Needed for Comparative Bikology***:
The results seem to indicate that the Trek 7200 is capable of going as fast or even faster than the Trek 4300. However, the results were not statistically stable enough to make any real conclusions. Research funds permitting, we will attempt more studies of hybrids vs. mountain bikes and refine our methodology in the future.

More Funding Needed for Dimensional Portal Research**:
While our original experimental design called for doppelgangers from a parallel dimension to ride the two bikes simultaneously, the alternative data acquired was still encouraging. More research is needed in this area, to determine conclusively if the speeds of the two bikes are equal. Future research involving many doppelgangers for several parallel universes would help confirm these results once the mechanism for portal opening has been perfected.

The Bikes Appear to be Equal*:
The conclusions are inconclusive as all the results were different. If the assumption about fatigue is correct then it would appear that the bikes are about equally as fast. Therefore contrary to their numerical nomenclature, the 7200 hybrid and the 4300 mountain bike would be equivalent in speed when used in the conditions described in this report. If this is true, commercial bike manufacturers who number their bike models will have to seriously reconsider this practice.

Reality Check:
It is impossible to reach light speed on an oridinary mountain bike and hybrid bike in order to open dimensional portals. The mental state of the scientists would obviously have be questionable to even make such an attempt. It is clear that you would need at least two racers.

References

Star Trek: The Next Generation. Episode 263 - Parallels, 11/29/1993 Stardate 47391.2

Star Trek: Deep Space 9. Episode 492 - Shattered Mirror, 4/22/1996 Stardate Unknown

Star Trek: Voyager. Episode 137 - Deadlock, 3/18/1996 Stardate 49548.7