Monday, October 31, 2011

Mouse Trap Car

Tyler Moore
Partner: Kim Low
Mouse Trap Car Lab

Teamwork:
Kim did an amazing job with this mouse trap car.  We worked on it at her house on Sunday October 23rd for nearly 5 hours.  We were not able to get our many cars to move however, they looked very fancy.  We came into class the next day and asked Mr. Elwer for some tips.  Then Kim went home and we discussed how we could build the winning car!  I unfortunately had a Cross Country meet so I was not there to construct our final car but, I did add the style and beautification of the car.  She remained positive the whole time and I definitely could not have done the project without her.  We were able to form a friendship and partnership that we would like to continue the rest of the year for our projects.

Intro:
The purpose of this lab was to design a car that is able to move, powered by a single mouse trap.  We will use what have learned about forces and vectors to "power" our car by using the "snapping part" of the mouse trap as the "arm” and attach it to the axle of our car, which will cause the axle to spin resulting in a change in the car's motion.  The rules were as follows: no outside help, no looking up the best design on the internet, and no modifications to the spring on the mouse trap.  The minimum displacement for the car to travel and receive full credit was 5 meters.

Hypothesis:
Our first hypothesis was "a long, light-weight body for the car, large wheels in the back, and one small front wheel that had little friction would be the most successful."  We figured the larger the wheels were the more distance we could cover for every axle turn.  We hoped that the small front wheel would help the car's motion due to its low friction after the axle's began to spin.  After three different designs failed we went "back to the drawing board."  We came up with the idea of a "hanging mouse trap" on the car.  Which means the mouse trap hung from the axle between the two records. This caused the car to experience little to no friction due to less weight and less friction. However, the key to this design was the wheel alignment as well as, the weight and force the mouse trap will give off.

Materials:
* Two LP records (Alan Freeman’s History of Pop)
· 2 squares of cardboard ( approx.. 4inx6in) with a 1in square cut out of the middle of one end
· 1 square of sturdy light weight foam presentation board (approx. 4inx4in)
· A length of threaded 3/16in metal rod
· A metal saw
· An X-ACTO knife
· 6 10ml nuts
· 4 10 ml washers
· 4 small bolts and nuts
· 8 small washers
· Pliers
· Assorted wrenches
· Duct Tape (preferably purple)
· Wax coated (physics) string
    
      Experimental Design:
    All variables that we manipulated were for the car's design. We had control of the following: wheel size, axle size, and components of the car's body.  In our first design we used a long, metal body with three wheels, one in the small wheel in the front and two large records in the back.  Our front wheel was a wall paper roller which was attached by the handle to the bottom of the car.  Our back wheels were LP Records and were attached to the axle by way of a threaded 3/16 axle. They were held in place by various nuts and washers, and there were two sets of nuts on either side of the body of the car to ensure that it did not slide back and forth on the axle too much.   Our arm was a stick of bamboo tied to the mouse trap by a wax covered string.  However, this design was way too heavy and the mouse trap was not able to move the car.  Our next design, we shortened the car's body a lot hoping to make it lighter and get some motion.  However, this design also failed.  We were frsutrated by then and destroyed our car and took all of the components of it and attached it to a long body made of sturdy light-weight foam.  Our car still would not move, so we deicded that it had to be our front wheel.  Also that our mouse trap may have been to weak to pull the "arm" attached to our axle at all and we might need to add a “transmission”, or a small section of the axle that is enlarged so as to make it easier for the mouse trap to begin pulling it.  Instead, we talked about it and decided to approach the car a whole new way with a "floating mouse trap".  We drew up a plan in which the mousetrap hung freely from the axle in between the two records.  We literally prayed to God that the small focused weight in the middle of the car would help it to maintain its momentum after it began to “free-roll” with no more power from the mousetrap.

Data:

    

Run 1
Run 2
Displacement (exhausted)
4.1 m
4.8 m
 Time (exhausted)
5.4 s
4.8 s
Displacement (Total)
19.25 m
17 m
Time (Total)
37.2 s
21.97 s
Mass in kg
0.39 kg
0.39 kg
Max Velocity
0.76 m/s
1 m/s
Average Acceleration
0.14 m/s^2
0.21 m/s^2
Average Deceleration
-0.02 m/s^2
-0.04 m/s^2
Force / Coefficient of Friction
F= .055 N / coeff.= .21
F= .082 N / coeff.= .31
Spring’s Applied Force
.055 N
.082 N
Work (Joules)
1.06 J
1.39 J
Power (watts)
.028 watts
.063 watts




      Conclusion: 
        All in all, Kim and I figured out that a long arm was not necessary for maximum displacement and that friction is key in this project. We also discovered that a key to getting the most force and movement for the car is in the type of string used. Our hypothesis was correct, with our projection that wheel to axle ratio would be a determining factor in overall displacement.  However, an interesting fact was that a light car with centralized weight used correctly could increase the momentum of the car after the mouse trap completed its snap.  In the end, our car was the best and had the most displacement out of the entire class mainly because of the wheel turn-over rate and because it rolled in the straightest line. This was due to our precision in assembling the body of our car and placing it on the axle, as well as our extensive planning and testing of many many MANY different car designs.

Saturday, October 15, 2011

Trajectory Lab

Trajectory Lab
Tyler Moore
Ryan Gibbel, Dean Defuria
Physics, Block 2
Mr. Elwer
Trajectory Lab
Background:  
In performing this lab we will calculate the speed at which a ball is thrown using an "angle measuring gun" tool to measure angles and a tape measure to measure the ball's displacement. The ball is thrown from about 2 meters above ground level and hence the fact that gravity will cause it to fall the ground.  We will use the following: trigonometry, projectile motion, time of flight and free fall acceleration to determine the the angles and displacements in order to find the velocities and overall speed at which the ball was thrown.
Materials:

2 Angle Measuring Guns (and people to use them)
3 Cones Tennis ball (1 person to place them)
2 Tennis Balls (1 person to accurately throw it twice)
1 Tape measure
Experiment and Design:
The experiment was setup on the rubber run-way of the Track Jumping pit.  Placing the thrower at one end and then at an accurate distance away the recorder. The other 2 group members, stand a certain distance away from the middle of the throwing lane to calculate the angle at the projectile's highest point or peak. The thrower will throw the tennis ball, with some sort of arc and accuracy multiple times. The recorder will place a cone at the exact place the ball lands and record that displacement.
Procedure:
  1. Thrower stand at one end of the jumping run-way with tennis balls.  Recorder at other end with 2 cones.  Place the 2 angle measuers, with Angle Measuring Guns, approxiamtely 10 meters away, from midpoint of the trajectory.
  2. Thrower throws the ball with arc and accuracy.
  3. The recorder marks its exact landing spot and calculates the displacement.  At the same time that the ball is in motion the angle measaurers will be measure the angle when the ball is at its highest point. 
  4. Repeat this procedure so that it will be done 2 times to get an average in all categories.

Data Table:
Trials
1
2
Distance
23m
23.4m
Angle
33.0 degrees
33.0 degrees

To find height from ground: since the angle is the same both times, we know the average angle is 33.0 degrees. 2.00m+10.0mtan33.0deg=8.50m, but DeltaY is negative, so DeltaY=-8.50m
Now height is known, time can be solved for. This is key because time is what links horizontal and vertical motion together.  DeltaY=Viy+(aDeltat)/2
-8.50=DeltaY, so -8.50m=0+((-9.81m)t2)/2,   -17.0m/-9.81m=t2   t=1.32s
Solve for VelocityY, Vy=Vit + at = 0 + (-9.81)(1.32) = -13.0m/s
Velocity is Displacement over time, so Vy=DeltaY/t, 
Vy= -8.50/1.32=-6.44m/s
Now there are both components of Initial Velocity, so the Pythagorean formula can be used.
Vi=Sqroot(6.442+13.02)=14.5m/s *note* after this is square rooted, it is plus or minus. But the ball was thrown in a forward motion and because of this and other information, we know it is positive initial velocity.
Now all that is left to be solved is the angle of the throw.
Angle=tan-1(8.5-2)/11.6=29.3degrees

Conclusion:
A key factor in this lab is that the ball was not thrown from ground level, but rather at 2 meters above the ground.  Therefore, it was neccessary that the angle measurements be taken from 2 meters above the ground in order to make it more accurate.  Previous to this lab, we only knew how far the ball traveled and the angle of its trajectory.  However, we we calculated the hieght of the ball at its peak, the amount of time the ball was in the air, the velocity in bot the Y and X directions, initial velocity, and the angle in which the thrower threw the ball.  Another finding this lab provided was the distinction between the physical world and the real world and although certain things aren't factored into the physical world when compared to the real world they are still very accurate.  For example, wind resistance was not factored into our experiement and yet, our results were close to those if the experiment has been done in the real world.