Oersted discovered that electric currents create magnetic fields by observing that a compass needle deflected when placed near a wire with a current. He established that a moving electric charge produces a circular magnetic field around the conductor. The right-hand rule determines the direction of this magnetic field based on the direction of current flow. Oersted's findings led to new technologies like motors and generators by demonstrating the control of magnetic fields using electricity.
Campo Magnético (Ley de Biot-Savart y Ecuaciones de Maxwell)BUAP
Ensayo sobre el campo magnético, así como de la importancia que tiene la ley de biot-savart y las ecuaciones de maxwell dentro del magnetismo en la ingeniería.
- Centripetal force is the force required to move an object in a circular path with constant speed. It acts towards the center of the circular path.
- An object moving in a circular motion experiences centripetal acceleration even if its speed is constant, because its direction is continuously changing.
- Centripetal acceleration is the acceleration produced in circular motion by the centripetal force. It is calculated as v^2/r, where v is the object's speed and r is the radius of the circular path.
Newton's universal law of gravitation states that every point mass in the universe attracts every other point mass with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them. The gravitational field strength is defined as the gravitational force per unit mass experienced by a small test mass in the field. Field lines illustrate the direction of acceleration due to gravity and indicate that the field strength is greater nearer the surface of spherical masses.
Tema 1 (4) la representacion del espacio terrestrepacogeohistoria
La representación más fiel de la Tierra es mediante un globo terráqueo, pero no permite mostrar detalles debido a su tamaño. Los mapas proyectan la superficie esférica en un plano, aunque distorsionan las formas y tamaños. Para localizar puntos en un mapa se usa una red de paralelos y meridianos, así como las coordenadas de latitud y longitud.
This unit carry information of Acceleration Due to the Gravity (g), Satellite and Planetary Motion and Gravitational Field, Potential Energy, Kinetic Energy and Total energy of the satellite. in each section, there is an example so as you could be able to manipulate those equations that are associated with this unit. Also, there is problem practice so as to straighten the understanding of this module.
Oersted discovered that electric currents create magnetic fields by observing that a compass needle deflected when placed near a wire with a current. He established that a moving electric charge produces a circular magnetic field around the conductor. The right-hand rule determines the direction of this magnetic field based on the direction of current flow. Oersted's findings led to new technologies like motors and generators by demonstrating the control of magnetic fields using electricity.
Campo Magnético (Ley de Biot-Savart y Ecuaciones de Maxwell)BUAP
Ensayo sobre el campo magnético, así como de la importancia que tiene la ley de biot-savart y las ecuaciones de maxwell dentro del magnetismo en la ingeniería.
- Centripetal force is the force required to move an object in a circular path with constant speed. It acts towards the center of the circular path.
- An object moving in a circular motion experiences centripetal acceleration even if its speed is constant, because its direction is continuously changing.
- Centripetal acceleration is the acceleration produced in circular motion by the centripetal force. It is calculated as v^2/r, where v is the object's speed and r is the radius of the circular path.
Newton's universal law of gravitation states that every point mass in the universe attracts every other point mass with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them. The gravitational field strength is defined as the gravitational force per unit mass experienced by a small test mass in the field. Field lines illustrate the direction of acceleration due to gravity and indicate that the field strength is greater nearer the surface of spherical masses.
Tema 1 (4) la representacion del espacio terrestrepacogeohistoria
La representación más fiel de la Tierra es mediante un globo terráqueo, pero no permite mostrar detalles debido a su tamaño. Los mapas proyectan la superficie esférica en un plano, aunque distorsionan las formas y tamaños. Para localizar puntos en un mapa se usa una red de paralelos y meridianos, así como las coordenadas de latitud y longitud.
This unit carry information of Acceleration Due to the Gravity (g), Satellite and Planetary Motion and Gravitational Field, Potential Energy, Kinetic Energy and Total energy of the satellite. in each section, there is an example so as you could be able to manipulate those equations that are associated with this unit. Also, there is problem practice so as to straighten the understanding of this module.
Magnets have been known and studied for centuries. The ancient Greeks were familiar with magnetite, a magnetic stone, and discovered that magnetite stones always pointed in the same direction, which later helped with navigation. William Gilbert proposed in 1600 that the Earth itself acts as a large magnet, predicting it would have magnetic poles. Magnetism results from the arrangement of electrons within atoms. Magnets have distinct north and south poles, and like poles repel while opposite poles attract.
9.4 - Orbital Motion & Kepler's third lawsimonandisa
Kepler's 3rd law describes the relationship between the orbital period of a planet and the semi-major axis of its orbit. The square of the orbital period is directly proportional to the cube of the semi-major axis. This relationship can be derived from the fact that centripetal force due to gravity must equal the gravitational force for an object to maintain a stable orbit. Graphs of the kinetic energy, potential energy, and total energy of an orbiting object help illustrate this relationship.
El documento describe el campo magnético terrestre. La Tierra genera su propio campo magnético debido a las corrientes eléctricas en su núcleo líquido de hierro y níquel, lo que crea polos norte y sur magnéticos. El campo magnético protege la Tierra de las partículas cargadas del sol y afecta procesos biológicos como la migración animal y el crecimiento de microorganismos.
Este documento presenta información sobre la electricidad y el magnetismo. Explica que la electricidad existe naturalmente pero no fue entendida por los humanos antiguos. Describe los conceptos de carga eléctrica, imanes, corriente eléctrica y circuitos eléctricos. Incluye secciones sobre cómo los objetos adquieren carga eléctrica, las fuerzas entre cargas, imanes y electroimanes, el magnetismo terrestre y los usos comunes de la electricidad y el magnetismo.
The Earth's crust is divided into 12 major tectonic plates that move due to convection currents in the underlying mantle. Plates interact along boundaries where they collide, pull apart, or slide past one another, causing volcanism and earthquakes. The three main types of plate boundaries are divergent boundaries where new crust is formed, convergent boundaries where plates collide and one subducts under the other, and transform boundaries where plates slide horizontally past each other. Plate tectonics theory explains the distribution of geological features such as volcanoes and earthquakes around the world.
Gravitation, free fall, variation in 'g' and keplers law lecture wiseRohan Jain
This document contains lecture notes on gravitational force and Newton's law of universal gravitation. It discusses key topics including:
- Gravitational force is a fundamental force that attracts all objects with mass. Newton's law of gravitation describes the force as directly proportional to the product of the masses and inversely proportional to the square of the distance between them.
- Kepler's laws of planetary motion describe how planets move in elliptical orbits with the sun at one focus. Kepler's first law states orbits are ellipses, the second that planets sweep out equal areas in equal times, and the third relates orbital periods to orbital radii.
- The value of the gravitational acceleration g varies depending on location, altitude,
El documento describe el sistema solar, que consiste en el Sol y los objetos celestes que orbitan alrededor de él, incluyendo 8 planetas, planetas enanos, asteroides, y cometas. El sistema solar contiene una gran variedad de cuerpos celestiales y en la Tierra se encuentra vida. Los planetas se mueven mediante rotación alrededor de su eje y translación alrededor del Sol en órbitas.
Neutron star ,an interesting part of astronomy. sobur hossain
A small work about neutron star which will make you interest in astrophysics ,a fascinating things on this earth.Moreover you will learn some facts about astronomy.
The center of mass of an object is the single point where the entire mass of the object is considered to be concentrated and acts as if the whole mass were located; it is defined mathematically as the weighted average of every discrete point making up the object. The document discusses center of mass for different geometric objects like cylinders, spheres, and distributed point masses, and explains that finding the center of mass allows predicting the object's motion as if all its mass were concentrated at that point.
El magnetismo se refiere a la capacidad de ciertos materiales, como la magnetita, de atraer hierro, cobalto y níquel. Un imán crea un campo magnético alrededor que contiene líneas de fuerza y polos norte y sur. La brújula utiliza esta propiedad para indicar direcciones usando una aguja magnética.
The Michelson-Morley experiment was conducted between 1887 and 1926 using increasingly precise interferometers to attempt to detect the hypothesized luminiferous ether and measure the speed of Earth through it. Michelson and Morley's 1887 experiment at Case Western Reserve University used an 11 meter interferometer and found no detectable fringe shift, contrary to predictions. Subsequent repeated experiments by multiple observers using improved designs up to 32 meters also found no detectable fringe shift, establishing that the luminiferous ether hypothesis was invalid and that the speed of light appears constant regardless of the motion of the light source. This result was one of the important experimental evidences leading to the development of special relativity.
Magnets have been known and studied for centuries. The ancient Greeks were familiar with magnetite, a magnetic stone, and discovered that magnetite stones always pointed in the same direction, which later helped with navigation. William Gilbert proposed in 1600 that the Earth itself acts as a large magnet, predicting it would have magnetic poles. Magnetism results from the arrangement of electrons within atoms. Magnets have distinct north and south poles, and like poles repel while opposite poles attract.
9.4 - Orbital Motion & Kepler's third lawsimonandisa
Kepler's 3rd law describes the relationship between the orbital period of a planet and the semi-major axis of its orbit. The square of the orbital period is directly proportional to the cube of the semi-major axis. This relationship can be derived from the fact that centripetal force due to gravity must equal the gravitational force for an object to maintain a stable orbit. Graphs of the kinetic energy, potential energy, and total energy of an orbiting object help illustrate this relationship.
El documento describe el campo magnético terrestre. La Tierra genera su propio campo magnético debido a las corrientes eléctricas en su núcleo líquido de hierro y níquel, lo que crea polos norte y sur magnéticos. El campo magnético protege la Tierra de las partículas cargadas del sol y afecta procesos biológicos como la migración animal y el crecimiento de microorganismos.
Este documento presenta información sobre la electricidad y el magnetismo. Explica que la electricidad existe naturalmente pero no fue entendida por los humanos antiguos. Describe los conceptos de carga eléctrica, imanes, corriente eléctrica y circuitos eléctricos. Incluye secciones sobre cómo los objetos adquieren carga eléctrica, las fuerzas entre cargas, imanes y electroimanes, el magnetismo terrestre y los usos comunes de la electricidad y el magnetismo.
The Earth's crust is divided into 12 major tectonic plates that move due to convection currents in the underlying mantle. Plates interact along boundaries where they collide, pull apart, or slide past one another, causing volcanism and earthquakes. The three main types of plate boundaries are divergent boundaries where new crust is formed, convergent boundaries where plates collide and one subducts under the other, and transform boundaries where plates slide horizontally past each other. Plate tectonics theory explains the distribution of geological features such as volcanoes and earthquakes around the world.
Gravitation, free fall, variation in 'g' and keplers law lecture wiseRohan Jain
This document contains lecture notes on gravitational force and Newton's law of universal gravitation. It discusses key topics including:
- Gravitational force is a fundamental force that attracts all objects with mass. Newton's law of gravitation describes the force as directly proportional to the product of the masses and inversely proportional to the square of the distance between them.
- Kepler's laws of planetary motion describe how planets move in elliptical orbits with the sun at one focus. Kepler's first law states orbits are ellipses, the second that planets sweep out equal areas in equal times, and the third relates orbital periods to orbital radii.
- The value of the gravitational acceleration g varies depending on location, altitude,
El documento describe el sistema solar, que consiste en el Sol y los objetos celestes que orbitan alrededor de él, incluyendo 8 planetas, planetas enanos, asteroides, y cometas. El sistema solar contiene una gran variedad de cuerpos celestiales y en la Tierra se encuentra vida. Los planetas se mueven mediante rotación alrededor de su eje y translación alrededor del Sol en órbitas.
Neutron star ,an interesting part of astronomy. sobur hossain
A small work about neutron star which will make you interest in astrophysics ,a fascinating things on this earth.Moreover you will learn some facts about astronomy.
The center of mass of an object is the single point where the entire mass of the object is considered to be concentrated and acts as if the whole mass were located; it is defined mathematically as the weighted average of every discrete point making up the object. The document discusses center of mass for different geometric objects like cylinders, spheres, and distributed point masses, and explains that finding the center of mass allows predicting the object's motion as if all its mass were concentrated at that point.
El magnetismo se refiere a la capacidad de ciertos materiales, como la magnetita, de atraer hierro, cobalto y níquel. Un imán crea un campo magnético alrededor que contiene líneas de fuerza y polos norte y sur. La brújula utiliza esta propiedad para indicar direcciones usando una aguja magnética.
The Michelson-Morley experiment was conducted between 1887 and 1926 using increasingly precise interferometers to attempt to detect the hypothesized luminiferous ether and measure the speed of Earth through it. Michelson and Morley's 1887 experiment at Case Western Reserve University used an 11 meter interferometer and found no detectable fringe shift, contrary to predictions. Subsequent repeated experiments by multiple observers using improved designs up to 32 meters also found no detectable fringe shift, establishing that the luminiferous ether hypothesis was invalid and that the speed of light appears constant regardless of the motion of the light source. This result was one of the important experimental evidences leading to the development of special relativity.
1. Il sestante e la
trigonometria
Liceo scientifico di Carsoli
Docente: Grazia Cotroni classe IV A
2. Problema
Se vogliamo conoscere l’altezza di un
lampione, di un albero o della nostra casa
o della nostra scuola senza poterla
misurare direttamente, come facciamo?
5. COME SI COSTRUISCE
Procedimento
Per costruire un sestante con materiale povero,
1) Abbiamo preso un’asta dritta e abbiamo posizionato al
centro di essa un goniometro, in modo da formare da
una parte un angolo di 180° e dall’altra un angolo di 0°
2) abbiamo preso un filo, lo abbiamo inserito nel buchino
del goniometro e abbiamo posto all’estremità del filo un
pesetto. (come nelle figure)
6. Come si usa?
• Si poggia il sestante su un treppiedi ad
un’altezza nota,
• si mira verso l’estremità dell’oggetto di cui
si vuole misurare l’altezza,
• quando il pesetto smette di oscillare si
guarda l’angolo indicato dal filo sul
goniometro, prendendo 90° come zero.
7. La matematica che c’è dietro
2° teorema sui triangoli rettangoli:
In un triangolo rettangolo un cateto è
uguale al prodotto tra l’altro cateto e
la tangente dell’angolo opposto al
cateto di partenza oppure uguale al
prodotto tra l’altro cateto e la
cotangente dell’angolo adiacente
all’angolo di partenza.
In formule
𝑎 = 𝑐 ∙ 𝑡𝑔𝛼
oppure
𝑎 = 𝑐 ∙ 𝑐𝑡𝑔𝛽
8. Un esempio di utilizzo
Misuriamo l’altezza
della nostra scuola
Ogni ragazzo
calcola con il
proprio sestante
l’angolo per
misurare l’altezza
della scuola
misure dell'angolo
28 media
38 31,75
37
34
30
24
28
45
29
29
29
30
ℎ = ℎ0 + 𝑑𝑡𝑔𝛼 = 1.38 𝑚 + 13,88 ∙ 𝑡𝑔 31,75 = 9,96 𝑚
9. E se siamo su una nave?
In questo caso il nostro sestante
non funziona!
A bordo di una nave, anche con il
mare più calmo, gli strumenti
terrestri per la misura della
posizione di un astro in cielo
funzionano male, perché non c'è
nulla di veramente stabile da
usare come riferimento, filo a
piombo e livella oscillano
continuamente attorno ad
un'irraggiungibile posizione di
equilibrio.
10. E se siamo su una nave in mare aperto di notte?
Durante la notte le
stelle si muovono tutte
in senso antiorario
(verso considerato
positivo per gli angoli)
eccetto la stella polare.
(o laCroce del Sud
nell’altro emisfero).
Perchè?
12. Ma conoscere il nord non basta. Perché?
Non basta guardare la stella polare o seguire una bussola, perché i venti e le
correnti possono farci cambiare rotta senza che noi ce ne accorgiamo.
Quindi cosa occorre?
13. L'unico riferimento stabile è l'orizzonte marino che viene utilizzato dal
sestante. Esso rappresenta il punto di arrivo dell'evoluzione degli strumenti
utilizzati in mare.
Lo strumento permette di misurare l'angolo di cui deve essere ruotato uno
specchio mobile affinché la luce proveniente dall'astro risulti, dopo una doppia
riflessione, tangente all'orizzonte marino. In pratica basta puntare il mare in
lontananza, là dove sembra toccare il cielo e, ruotando la parte mobile dello
strumento, portare sull'orizzonte la stella o il disco solare o lunare.
15. Perché si chiama «sestante»
La scala di un sestante è di 60°,
pari ad 1/6 di circonferenza; è da
qui che deriva il suo nome.
16. un App per il nostro cellulare…
Grazie a Smart Measure potremo utilizzare la fotocamera
dei nostri dispositivi Android per calcolare la distanza di
un determinato oggetto e, fatto ciò, anche la sua
altezza! Il programma è disponibile sia in versione free
che a pagamento. La versione gratuita permetterà di
misurare solo l’altezza e la distanza dell’oggetto che
stiamo inquadrando con la fotocamera.
19. Alla fine di questa attività
I ragazzi coinvolti scrivono:
• «Prima della realizzazione e dell’introduzione di tale strumento, nessuno nella mia classe era
consapevole del fatto che ,utilizzando soltanto un’asta, un goniometro, un filo e un pesetto, si
potesse realizzare uno strumento che in modo così semplice possa permetterci la misurazione di
altezze elevate.»
• È stato un metodo molto utile per riuscire a vedere la matematica da un’altra prospettiva più
vivace e non solo come una materia del tutto teorica
• Questo esperimento di costruzione e di utilizzo di un sestante artigianale ci dà un esempio di uso
pratico della matematica e quindi ci permette di dare una risposta concreta alla fatidica domanda
«a cosa serve la matematica?». Nel caso del sestante nonostante sia un’invenzione di secoli fa
rimane tutt’oggi uno strumento di grande utilità perché permette di fare calcoli e misurazioni
senza l’uso di elettricità e strumenti tecnologici
• Prima della realizzazione e dell’introduzione di tale strumento, nessuno nella mia classe era
consapevole del fatto che, utilizzando soltanto un’asta, un goniometrico un filo e un pesetto, si
potesse utilizzare uno strumento che in modo così semplice possa permetterci la misurazione di
altezze elevate.
• Questo esperimento è stato molto utile e ci ha permesso di tornare indietro nel tempo dove con
un clic non potevi ricevere una risposta a tutto, questo ci ha spinto a ragionare.