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PENDULUM SWING
Tommaso Biancospino
Created on May 30, 2024
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Transcript
PENDULUM SWING
REPORT ON KINEMATICS
Index
Energy
Microprocessor
History
Attachments
Example
Coding
Math's relations
Video
FOSFORO
Conclusions
01
Conservation of energy
Perpetual motion
THE FIRST PRINCIPLE OF THERMODYNAMICS Nothing is created and nothing is destroyed, everything is transformed!
Energy conservation is a principle of physics that states that the energy of a system remains constant over time, although it can transform from one form to another. This principle also applies to commuting. The pendulum there are two forms of energy that exchange repeatedly keep, in theory, the pendulum in perpetual motion. These forces are: POTENTIAL ENERGY. THE KINETIC ENERGY.
The isocrony of the pendulum
Pendulum isocrony is a property of pendulum motion that indicates that the period of a pendulum’s oscillations is independent of the amplitude of the pendulum’s oscillations. This means that, for small oscillations, the time needed to complete a complete oscillation (round trip) remains constant, even if the amplitude of the oscillation varies. The calculation of the period exploits this relationship: Where L is the distance from the pendulum fulcrum and g is the gravitational acceleration.
02
History of the pendulum
Galileo Galilei
Galileo Galilei
Galileo Galilei discovered the properties of pendulum motion through a series of observations and experiments carried out during his life. The most famous legend tells that Galileo discovered the isochronous of the pendulum by observing the oscillating chandelier in the Cathedral of Pisa.
03
Example of pendulum applications
1 second
What do we use the pendulum for today ?
- Pendulum clocks.
- Scientific Instruments.
- Metronomes.
- Gyroscopes on a pendulum.
- Measuring devices.
- Seismometers.
04
Example of pendulum motion
Energy
POWER
In this phase the pendulum is in the highest position and thanks to the gravital attraction it has the maximum potential energy.
SPEED
In this phase the pendulum is in the lowest position and all the potential energy has become kinetic energy.
GRAPHICS
Thanks to MatLab and SimuLink we visulized the graphics of the speed and the angle, when the angle is 0 the speed is max and vice versa because the energies are exchanged.
05
FOSFORO EXPERIENCE at Senigallia
FOSFORO 2024
Our aim is the dissemination of scientific, technological and artistic culture at local and national level. Using an informal approach to promote subjects closely related to innovation: Science, Technology, Engineering, Art, Maths.
FOSFORO's PROJECT
For the 14th edition of this festival we decided to create a pendulum that can be studied with a microprocessor that analyzes the motion of the pendulum and represents a graph with speed and angle. The main components are: The microprocessor, the encoder, the pendulum mass and the graphic interface.
06
MICROPROCESSOR ESP32
POSITION LEDS
We attached 3 different leds to give some information about the position of the pendulum in relation of the plane. We have one central led for giving the perpendicular position and the other two give us the other swing positions.
MAIN BLOCK OF PROGRAM
RISING EDGE PROGRAM
COMUNICATION INTERFACE
CALCULATION OF THE PERIOD
CALCULATION OF THE ANGLE OF SWING
CALCULATION OF THE SPEED OF SWING
ON/OFF POSITION LEDs