A performer is was winging on the trapeze at the circus. It takes 5.2 seconds for him to complete one swing. Another performer jumps on what's happens?
It goes faster. F=ma. Or 1/2mv^2. Increasing mass should increase potential energy at the start. Therefore leading to increased velocity which means less time.
My personal experience is that when on a swing, the more effort or work I undertake ie pumps the legs the higher and faster I can go. The other I can't share due to audience possible lay seeing it.
100 years ago clocks were the most important thing.
Two will go through a period faster than a single.
Hooks law. Wave functions. Angular momentum. Monkeys make for terrible models for this sort of phenomena.
My prediction is you gain 1.5 per doubling of mass.
9 per 10 seconds for 1 washer.
Predictions: For 2 washers is 13.5, 3 washers is 18, and 4 washers would be 22.5 oscillations.
I was wrong. They were the same. I put too much " faith" in the mass. Thinking on it hook's law is mass independent but totally dependent on positional changes.
Material of what makes the "string". Do different materials swing differently. Is there an angle that is not 180 degree flight path that is faster than the others?
Following up, using the same length of a pendulum, but different materials, is there a rate difference? This would all depend on what materials I could get a hold of. Are rigid/inflexible materials faster than flexible/loose materials (ie a metal rod vs a string). Use the same set up compare and go.
ReplyDeleteTo investigate the angle, you would probably want to go in 5-10 degree increments and count the number of periods. You can do this with multiple materials as well seeing if there are different optimal angles for different materials thus if you had something requiring a pendulum in say a clock, and you had so much open space, here are the materials that could swing back and forth and giving you the accuracy for your time piece.
Beyond digitization, why were pendulums abandoned for time pieces? What was the dissatisfaction with what predated them and what was the dissatisfaction that immediately clock/watch makers had with pendulums that made them go to quartz in digital watches?
If you want to go very specific with NGSS 3-PS2 Motion and Stability:Forces and Interactions. Specifically in 3-PS2C talks about pendulums back and forth motion. Well obviously this activity was engaging us in a process. We planned and carried out an investigation, we obtained and communicated information, we used a pattern, definitely hit the motion and stability idea. Talking about the use of pendulums hits on the engineering/technology aspects.
I found a simulator that could do what I wanted first:
ReplyDeletehttp://phet.colorado.edu/sims/pendulum-lab/pendulum-lab_en.html
I decided to try changing the angles of release. Luckily the simulator has a time for one period. Results are as followed:
60 Degrees 3.0445 seconds 1kg mass
50 Degrees 2.9871 seconds 1kg mass
40 Degrees 2.9258 seconds 1kg mass
30 degrees 2.8862 seconds 1kg mass
20 degrees 2.8586 seconds 1kg mass
While it can appear "constant", it should actually take longer to go over a larger arc given the distances are increasing.
Repeating the simulation with double the mass just to make sure there isn't anything going on with the mass due to angle.
60 Degrees 3.0445 seconds 2kg mass
50 Degrees 2.9871 seconds 2kg mass
40 Degrees 2.9258 seconds 2kg mass
30 degrees 2.8862 seconds 2kg mass
20 degrees 2.8586 seconds 2kg mass
http://answers.yahoo.com/question/index?qid=20120825074005AArfrps
Not the best, there is a differential that explains that anything above 22 degrees starts to show some "noticeable difference". I'm pretty sure human perception though would not be affected.
http://www.ehow.com/info_8113160_affects-swing-rate-pendulum.html
http://sciencenetlinks.com/lessons/exploring-pendulums/
Simpler words.