Topographic Map Project
Rube Goldberg Project
Link to Rube Goldberg Project: RUBE GOLDBERG
Calculations
Calculation 1: Potential Energy of marble atop of Rube.
Formula: PE= mgh
Mass of marble: 0.00467kg
Acceleration due to gravity: 9.8m/s2
Height: 0.86m
Potential Energy= 0.039 Joules
Calculation 2: Kinetic Energy of marble atop of Rube.
Formula: KE= 1/2mv2
Mass of marble: 0.00467kg x ½
Velocity of Marble= 0
KE= 0 Joules
therefore anything with a velocity of zero has a Kinetic Energy of zero
Calculation 3: Marble’s average velocity coming down the first ramp starting atop of Rube
Formula: V= d/t
Distance: 54cm /
time: 6.74seconds
Velocity = 8.01cm/s
Calculation 4: Marble’s momentum when it knocks the weight of the edge of the Rube.
Formula: P= mv
Mass of marble: 0.00467kg
Velocity: .2697 m/s
Momentum= .00126 Kg x m/s
Calculation 5: Amount of energy transferred from the the marble to lead weights
Formula: M1V1= M2V2
Momentum of Marble: .00126 Kg x m/s / .052 kg
Energy transferred into lead weights (in velocity) = .024m/s
Calculation 6: Find the velocity of the marbles going into the cup that pulls the lever that triggers the golf ball. (Find the velocity from video)
Formula: V= d/t
Distance: 19cm /
Time : 0.48 seconds
Camera frame is .04 seconds. The distance traveled took 12 frames. Therefore the marble traveled 19cm in .48 seconds.
Velocity = 39.6 cm/s
Calculation 7: The Hang Time between the marble leaves the first ramp and enters the one and only metal tube.
Formula: Thang= √(d/.5g)
Distance: .04m / acceleration due to gravity: 9.8m/s / 2
Hang Time= 0.0082 seconds
Calculation 8: Mechanical advantage of a first class lever atop of rube.
Formula: MA= /Fr / Fe
Lever end 1: 15cm
Lever end 2: 8cm
Mechanical advantage = 1.875
Formula: PE= mgh
Mass of marble: 0.00467kg
Acceleration due to gravity: 9.8m/s2
Height: 0.86m
Potential Energy= 0.039 Joules
Calculation 2: Kinetic Energy of marble atop of Rube.
Formula: KE= 1/2mv2
Mass of marble: 0.00467kg x ½
Velocity of Marble= 0
KE= 0 Joules
therefore anything with a velocity of zero has a Kinetic Energy of zero
Calculation 3: Marble’s average velocity coming down the first ramp starting atop of Rube
Formula: V= d/t
Distance: 54cm /
time: 6.74seconds
Velocity = 8.01cm/s
Calculation 4: Marble’s momentum when it knocks the weight of the edge of the Rube.
Formula: P= mv
Mass of marble: 0.00467kg
Velocity: .2697 m/s
Momentum= .00126 Kg x m/s
Calculation 5: Amount of energy transferred from the the marble to lead weights
Formula: M1V1= M2V2
Momentum of Marble: .00126 Kg x m/s / .052 kg
Energy transferred into lead weights (in velocity) = .024m/s
Calculation 6: Find the velocity of the marbles going into the cup that pulls the lever that triggers the golf ball. (Find the velocity from video)
Formula: V= d/t
Distance: 19cm /
Time : 0.48 seconds
Camera frame is .04 seconds. The distance traveled took 12 frames. Therefore the marble traveled 19cm in .48 seconds.
Velocity = 39.6 cm/s
Calculation 7: The Hang Time between the marble leaves the first ramp and enters the one and only metal tube.
Formula: Thang= √(d/.5g)
Distance: .04m / acceleration due to gravity: 9.8m/s / 2
Hang Time= 0.0082 seconds
Calculation 8: Mechanical advantage of a first class lever atop of rube.
Formula: MA= /Fr / Fe
Lever end 1: 15cm
Lever end 2: 8cm
Mechanical advantage = 1.875
Rocket Project
Rocket Reflection
At our ninth grade exhibition everything went very smoothly and efficient. All of the rockets had a chance to launch, and most of the rockets had a successful launch and deployed the parachute. The exhibition for my group went well, but in the practice launch we had better results. The group that I had worked because we were able to compromise on all the ideas to make a successful rocket. If I could go back and change something on the rocket I would change the aerodynamics of it and make it skinnier with less weight on the rocket.
In the coming years for the rocket project I would give advice to the other kids to use all of the possible class time that they have. Also even if their rocket is not all the way finished, use all the possible launch days to perfect your rockets flight. In this project I learned a ton about my abilities and ambition when I want to complete something. I learned that no matter who I am paired with If I set my mind to something I can get it done, and get it done well.
In the coming years for the rocket project I would give advice to the other kids to use all of the possible class time that they have. Also even if their rocket is not all the way finished, use all the possible launch days to perfect your rockets flight. In this project I learned a ton about my abilities and ambition when I want to complete something. I learned that no matter who I am paired with If I set my mind to something I can get it done, and get it done well.
Rocket Log
Day 6, Entry 1
Yesterday our first rocket launch was very successful. Our parachute deployed and acted properly.
Day 7, Entry 2
After our first launch we decided that our parachute was not big enough because it didn’t slow our rocket’s decent fast enough.
Day 8, Entry 3
We made a bigger parachute but it did not deploy. We tried to fix this with by not putting the nose cone on as tight. However, we were unable to find the perfect tightness.
Day 9, Entry 4
We made some adjustments on our parachute and we hope we will have a successful launch today. Also, we attached fins to our rocket. So far it was the hardest part of the rocket building process. After many attempts we finally managed for the fins to stick.
Day 10, Entry 5
The rocket fins appear to be glued nicely. We hope the fins improve flight performance and height.
Day 11, Entry 6
Today our fins were very helpful. The difference in height and flight direction was amazing. Unfortunately our nose cone is still not coming off leaving us with the only alternative of making a new one.
Day 12, Entry 7
Today Berr destroyed our pressure chamber. Fortunately, we believe our rocket is still salvageable. We will cut off the damaged part of the pressure chamber and attach a new one for added water capacity.
Day 13, Entry 8
Today we finished adding on the second chamber and painted our rocket North Korea colors (red, white, and blue). With the added length to the bottom, hope our fins will still work right.
Day 14, Entry 9
At test launch we launched our rocket 3 times. The parachute deployed 1 out of the 3 launches. Exhibition is tomorrow, and we still need to make a new nose cone.
Yesterday our first rocket launch was very successful. Our parachute deployed and acted properly.
Day 7, Entry 2
After our first launch we decided that our parachute was not big enough because it didn’t slow our rocket’s decent fast enough.
Day 8, Entry 3
We made a bigger parachute but it did not deploy. We tried to fix this with by not putting the nose cone on as tight. However, we were unable to find the perfect tightness.
Day 9, Entry 4
We made some adjustments on our parachute and we hope we will have a successful launch today. Also, we attached fins to our rocket. So far it was the hardest part of the rocket building process. After many attempts we finally managed for the fins to stick.
Day 10, Entry 5
The rocket fins appear to be glued nicely. We hope the fins improve flight performance and height.
Day 11, Entry 6
Today our fins were very helpful. The difference in height and flight direction was amazing. Unfortunately our nose cone is still not coming off leaving us with the only alternative of making a new one.
Day 12, Entry 7
Today Berr destroyed our pressure chamber. Fortunately, we believe our rocket is still salvageable. We will cut off the damaged part of the pressure chamber and attach a new one for added water capacity.
Day 13, Entry 8
Today we finished adding on the second chamber and painted our rocket North Korea colors (red, white, and blue). With the added length to the bottom, hope our fins will still work right.
Day 14, Entry 9
At test launch we launched our rocket 3 times. The parachute deployed 1 out of the 3 launches. Exhibition is tomorrow, and we still need to make a new nose cone.
Rocket Data Table
Rocket Empty Mass: N
4.10N
Rocket empty mass: kg
.418kg
Rocket charged mass: kg
1.78kg
Mass of propellant alone: kg
1.3kg
Volume of propellent
1.3L
Launch pressure: psi
95 psi
Number of stages:
2
Rocket length: cm
94cm
Number of nozzles:
1
Friction Device:
Parachute
Area of Friction Device: m2
75.36m^2
Max angle at launch apex: degrees
53 degrees
Observer distance: m
53m
Max height: m
75m
Actual flight time: s
6.65 s
Average actual velocity for total trip: m/s
22.56 m/s^2
Theoretical flight time: s
3.91 s
%Error in flight time (due to Fair friction): %
59%
Conclusion
Conclusion
Jake Beekmann
During our Rocket Project everything might have seemed easy or without reasoning. But through this rocket project went many calculations. To start off, we calculated the max height of our rocket by multiplying the distance of the table from the launch pad in meters by the tangent of our angle. Then we calculated our rockets velocity by dividing our total flight distance by our flight time. After that we had to calculate our rockets theoretical flight time by taking the rockets max height and dividing it by one half of acceleration due to its gravity. We calculated the flight time error by dividing our actual flight time by our theoretical flight time. After we looked at our flight time error results we found that our theoretical flight time was 59% less than the actual flight time. As we ended the examination I found that our rocket was mostly slowed due to friction.
Jake Beekmann
During our Rocket Project everything might have seemed easy or without reasoning. But through this rocket project went many calculations. To start off, we calculated the max height of our rocket by multiplying the distance of the table from the launch pad in meters by the tangent of our angle. Then we calculated our rockets velocity by dividing our total flight distance by our flight time. After that we had to calculate our rockets theoretical flight time by taking the rockets max height and dividing it by one half of acceleration due to its gravity. We calculated the flight time error by dividing our actual flight time by our theoretical flight time. After we looked at our flight time error results we found that our theoretical flight time was 59% less than the actual flight time. As we ended the examination I found that our rocket was mostly slowed due to friction.