Mechanical Energy in a Pendulum

In summary, the conversation is about a physics correspondence course where the student is struggling with a question involving a pendulum experiment. The student is provided with the measurements needed for the experiment but is unsure how to proceed. The conversation then discusses the equations and calculations involved, as well as potential sources of error and suggestions for improving the experimental design. The student also expresses doubts about their abilities in physics.
  • #1
pharm89
32
0

Homework Statement



Hi,I am taking a grade 11 physics correspondance course and I have been stumped for the last few weeks on what they are asking in a particular question.

A pendulum was set up and measurements were made to enable the mechanical energy to be calculated at the start position S and the lowest point of the pendulums swing L.

The mass of the pendulum bob was determined on an electronic scale and its diamter was measured using calipers. The initial height was measured with a meter stick. At the lowest point of its swing, the pendulum bob broke a photogate light beam. The time interval that the light was interrupted was recorded on an electronic timer attached to the photogate.
Use the following data to complete a report.
MAss of pendulum bob = 240.3 g
Diameter of pendulum bob = 3.50 cm
Initial height of pendulum bob = 48.0 cm
Length of pendulum string = 2.14 m
Time interval of photogate light interruption = 11.8 ms

Your report should include the following:
(a) conclusion as to whether or not the pendulum demonstrated the law of conservation of energy
(b) calculations of the efficiency of the pendulum as a mechanical machine
(c) any statements of sources of error
(d) your suggestions for improving the design of the investigation.
Relevant equations[/b]



The Attempt at a Solution



Am I supposed to perform this experiement myself, becuase they are giving me all the measurments (therefore am I just doing an analysis) I am not quite sure how to even begin attempting this question. Any suggestions would be very appreciated .
Thank you
Pharm 89
 
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  • #2
The swinging mass interrupts the beam of the photogate as it swings through the gate at the lowest point. The speed of the mass at the lowest point can then be calculated with

[tex]v_L = \frac{d}{t}[/tex]

where [tex]d,\ t[/tex] is the diameter of the mass and the time of interruption.
 
  • #3
i'll try to attempt this... but let me tell you that I'm not really that good at physics.

i think you will have to attempt the question only... coz you won't be having the materials,,, especially the photothing

and anyway, it's a report that you will have to write on the experiment. this will include (a) (b) (c) (d)


(a) i guess that to demonstrate law of conservation of energy, the K.E. at the lowest point, should be equal to the P.E. at initial point. but naturally i don't think it K.E. = P.E., due to friction, etc...
note: Law of conserv. of energy will be obeyed if you consider the whole system: the pendulum+air around+ any other thing around(duh!0)

(b) efficiency would be the Power out divided by the Power in, something like that... guess its the final power over the initial power, but remember that efficiency is always between 0 and 1

(c) could be parallax error(the favourite one!), especially with the metre stick, the angle from which the bob will be realeased at first should not be too large because of something i just did at school bt didn't understand very much as usual! also the bob should be swinging in one plane only (hope you get wot i mean) and should not rotate on itself, and at most you could say that the measuring instruments are still not precise enough.

(d) Carry the exp 2 more times, making averages, use of graphs,
uummm I've never worked with the photothing, so i wouldn't be able to tell you any improvement about it...


hope i helped you at least a little!...lol
 

Related to Mechanical Energy in a Pendulum

1. What is mechanical energy in a pendulum?

Mechanical energy in a pendulum refers to the sum of kinetic and potential energy that is present in a pendulum's motion. Kinetic energy is the energy of motion, while potential energy is the energy stored in an object due to its position or state.

2. How is mechanical energy conserved in a pendulum?

In a pendulum, mechanical energy is conserved because the total amount of energy (kinetic and potential) remains constant throughout the pendulum's motion. As the pendulum swings back and forth, the energy continually transforms between kinetic and potential energy, but the total amount remains the same.

3. How does the length of a pendulum affect its mechanical energy?

The length of a pendulum affects its mechanical energy by changing the potential energy that is stored in the system. The longer the pendulum, the greater the potential energy and the lower the kinetic energy. This relationship is described by the law of conservation of energy.

4. What factors affect the mechanical energy of a pendulum?

The mechanical energy of a pendulum is affected by its mass, velocity, and the height of its swing. These factors determine the amount of kinetic and potential energy present in the pendulum's motion.

5. How is mechanical energy used in pendulum clocks?

In pendulum clocks, mechanical energy is used to keep the pendulum in motion, which in turn drives the gears and hands of the clock. The potential energy stored in the pendulum as it swings is converted into kinetic energy, which drives the clock's mechanism and keeps accurate time.

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