On what principle was the pendulum clock invented?

Pendulum clocks were invented based on the law of a single pendulum.

Use the pendulum to control other parts, so that the clock goes fast and slow evenly, generally can report the point, and use the spring to provide energy to make it swing.

And the periodic formula of a single pendulum is: time = pi.

Multiply by 2 times (root number hem length divided by gravitational acceleration.)

From the formula and its derivation, it can be seen that the single pendulum moves.

It relies on gravity and the pull of the rope. The period of the swing depends only on the length of the rope and the acceleration due to gravity. The Earth's gravitational acceleration is fixed, and controlling the pendulum length allows the period to be adjusted to time it.

The swinging pendulum is based on gravitational potential energy.

To put it simply, if you pull the pendulum high, it will swing down due to gravity, and when it reaches the lowest position, it will have a velocity, and it cannot stop there directly (just like the brakes can't stop all at once), it will continue to rush past the lowest position.

Swinging back to the highest position is because gravity slows it down to 0 and then swings back (like throwing something into the sky, it slows down to 0 on the rise and then falls). And so on, it keeps swinging.

Extended Materials. In general, the weight of the pendulum is determined, and the oscillation period of the pendulum can be adjusted by adjusting the reference length (l) of the pendulum. The reference length of the pendulum is shortened, and the clock becomes faster; Otherwise, it becomes slower. For precision pendulum clocks, there is also the use of additional weights to fine-tune the vibration period of the pendulum.

Pendulum clocks are placed in different geographical locations (different latitudes of the earth.

and altitude), the gravitational acceleration of the pendulum changes and thus affects its vibration cycle. Pendulum clocks placed in environments with different temperatures and air pressures can also cause changes in the vibration cycle. A change in temperature causes a change in the size of the parts of the pendulum, including the reference length of the pendulum.

Generally, the temperature rises, the swing expands longer and the bell slows down; Otherwise, the pendulum shortens and the clock becomes faster. Therefore, precision pendulum clocks are often made of materials with different linear expansion coefficients to make temperature compensation tubes to compensate for temperature effects.

A change in air pressure causes air resistance.

and changes in the density of the air, which causes a change in the vibration cycle. For this reason, precision pendulum clocks often install the pendulum in a constant pressure housing to eliminate the effects of air pressure.

The amplitude of the oscillation of the pendulum affects the isochronism of the clock. Amplitude.

The smaller the daily difference (see the daily difference of the clock) caused by the amplitude change, the smaller the change in isochronism, that is, the better the isochronism, so the precision pendulum clock often uses a long pendulum rod and a small amplitude. However, the small swing is sensitive to vibrations and shocks from the outside world, so it has high requirements for the installation environment. The daily difference of the pendulum clock can generally reach less than 20 seconds, and the precision pendulum clock reaches a few thousandths of a second.

Pendulum clocks are mechanical clocks. Some quartz electronic clocks, although also equipped with pendulums or twisted pendulums, only serve a decorative role.

It is isochronism using the single pendulum. It is this property that can be used for timing.

The formula for the period of a single pendulum is: time = 2 times the rate of pi multiplied by (the length of the root hem divided by the acceleration due to gravity).

From the formula and its derivation, it can be seen that the movement of a single pendulum depends on gravity and the tension of the rope. The period of the swing depends only on the length of the rope and the acceleration due to gravity. The Earth's gravitational acceleration is fixed, and controlling the pendulum length allows the period to be adjusted to time it.

Extended information: The pendulum swings by the mutual conversion of gravitational potential energy and kinetic energy, simply put, if you pull the pendulum high, it will swing down due to the influence of gravity, and after reaching the lowest position, it has a speed, it cannot stop there directly, it will continue to rush through the lowest position, and the pendulum to the highest position swings back because gravity slows it down to 0, and then swings back. And so on, it keeps swinging.

As mentioned above, the pendulum can swing forever, but due to the presence of resistance, it will gradually decrease and finally stop. So use the clockwork to provide energy to make it swing.

History. The pendulum is used as a bell for the vibrating system. It usually has a chiming function, so it is also called a self-striking clock.

1582 In 1583, the Italian physicist and astronomer Galileo Galilei discovered the isochronism of the pendulum. In 1657, the Dutch physicist and astronomer Christian. Huygens invented the pendulum clock using the principle of isochronism of the pendulum.

After continuous improvement, it has been used to this day. Pendulum clocks can be made into table clocks, wall clocks, floor clocks, mother clocks of child and mother clocks, astronomical clocks and other types according to the use and requirements.

Pendulum clocks are usually used to tell the time by mechanical time, but also by electronic amplification. The pendulum clocks used in the court of modern emperors are often accompanied by a set of mechanical transmission mechanisms, and the images of people, landscapes, birds, and animals made by precision are used to tell the time.

How the pendulum clock works:

The pendulum clock is made to make the gears run at a constant speed, and a bunch of gears are criss-crossed and inlaid in the clock, which is responsible for calculating how many seconds have passed, and then converting them into minutes and hours, and then displaying them on the clock face for people to ** time.

The pendulum clock mainly applies the isochronism of the single pendulum, and there is also the clever use of the combination of gears and escapement, using the pendulum to take the same time for each single pendulum to control the escapement to cross and release the gears, so this is also the reason why we hear the ticking sound of the pendulum clock.

Structure of the pendulum clock:

The pendulum clock is mainly composed of a pendulum, an escapement mechanism, a dial and a hand, and the precise coordination between them ensures the accuracy of the entire pendulum clock.

And the core mechanism of the whole pendulum clock is the escapement mechanism, it is a kind of mechanical energy transmission switch device, the so-called escapement is the corresponding closing, mainly with the escape fork to control the escape wheel rotation, thereby indicating the accurate time.

A pendulum is an experimental instrument that can be used to demonstrate various mechanical phenomena. The most basic pendulum consists of a rope or rod, and a hammer. The hammer is tied underneath the rope, and the other end of the rope is fixed. When the pendulum is pushed, the hammer moves back and forth. The pendulum can be used as a timer.

The angle of intersection of the lines of the perpendicular plane, 0 is the maximum value of , m is the mass of the hammer, and a is the angular acceleration. Ignore the effects of air resistance as well as the elasticity and weight of the rope

The highest hammer rate is at =0. When the hammer reaches its highest point, its rate is 0. The tension of the rope does not do work on the hammer, and the sum of kinetic energy and potential energy does not change during the whole process. The equation of motion is: Note that regardless of the value of , the period of motion is independent of the mass of the hammer.

When it is quite small, a differential equation of homogeneous constant coefficients can be obtained, which is a simple harmonic motion.

The exact period of motion cannot be obtained using the underlying function.

Classification Voice.

Impact pendulum The impact pendulum is a laboratory instrument used to calculate the velocity of a bullet case. Its principle is: the momentum of the object before and after collision is constant, and the energy is constant when the pendulum is in motion.

The impact pendulum is similar to the ordinary pendulum, except that the hammer and the cartridge case will have a completely inelastic collision, that is, the two will become one after the collision.

Shoot the cartridge case at the stopped hammer so that the hammer and cartridge case come together and swing together. Let the mass of the hammer be MP, the mass of the shell and the initial velocity of MB and V, respectively, and the velocity of the hammer and the case after collision is U.

If mine is helpful to you, remember to light it up, thank you!

The pendulum is composed of a pendulum and a pendulum, and the internal mechanical transmission allows her to amplitude to a fixed value, ignoring the resistance of the air, and can accurately time.

The pendulum consists of a movement, a case, an hour hand, a minute hand, and a second hand. The movement is particularly important. He directly drives the movement of the hour, minute and second hands.

The structure of the pendulum clock can be roughly divided into a time part, a dot part, a pointer part and a dot control part. It is composed of a head wheel (i.e., a cartridge wheel with a mainspring), a second wheel, a third wheel (center wheel), a four-wheel, an escape wheel, an escape fork, a pendulum, etc.

The swinging pendulum is oscillated by the mutual conversion of gravitational potential energy and kinetic energy, to put it simply, if you pull the pendulum high, it will swing down due to gravity, and after reaching the lowest position, it has a velocity, it cannot stop there directly (as if the brakes cannot stop immediately), due to inertia it will continue to rush through the lowest position, and swing back to the highest position because gravity slows it down to 0, and this pendulum throws a downward acceleration.

And so on, and so on, and so on, and so on. According to the above description, the pendulum can swing forever, but due to the presence of resistance, it will gradually decrease and finally stop. So use the clockwork to provide energy to make it swing.

The pendulum is mainly composed of a pendulum, an escapement mechanism, a dial and a hand, and the precise coordination between them guarantees the precision of the entire pendulum chronograph.

The most basic pendulum consists of a rope or rod, and a hammer. The pendulum nowadays consists of a hammer and a cycloid.

A pendulum is made up of a pendulum and a pendulum rope. The role of the pendulum is to provide a heavy substance, which is more affected by gravity. In the case of a pendulum, it is the connection between the pendulum and the fixed point. The combination of the two is the physical phenomenon of oscillation.

A pendulum is an adjustable object that is made up of a swing arm and a pendulum.

A pendulum consists of a base and a pendulum pin.

The pendulum is composed of a hammer and a cycloid, and the pendulum moves in a local circular motion along the fulcrum under the action of gravity.

The pendulum is composed of a pendulum and a pendulum, and the pendulum rod is mainly used to connect the pendulum.

What and what does a pendulum consist of? is made up of mechanical binders. and a swinging pendulum with a mechanical connection. It is usually hung on the wall. The so-called wall clock.

The structure of the pendulum can be roughly divided into the dotting part, the pointer part and the dotting control part, and the pendulum is composed of two wheels, the central theory and the pendulum.

The pendulum clock is a kind of clock, it is manufactured according to the law of single pendulum, and the pendulum is used to control other parts, so that the clock goes fast and slowly, and the structure of the pendulum clock can be roughly divided into the time part, the dotting part, the pointer part and the dotting control part.

A pendulum consists of a bell dial and a pendulum hand. Pendulums are rarely used in everyday life nowadays.

The world's first pendulum clock was made according to the principle of the isochronism of the pendulum. Italian scientistsGalileoThe principle of isochronism of pendulum was first discovered.

The mechanical pendulum clock in life, regardless of shape or size, is single.

The period is only related to the length of the pendulum, and has nothing to do with the quality and angle of the pendulum, that is, when the pendulum length is fixed, the time for a single pendulum to complete a swing is equal, this principle was first discovered by the Italian scientist Galileo, called the isochronous nature of the pendulum The world's first mechanical pendulum clock was made according to this principle.

The origin of the world's first pendulum clock.

The world's first pendulum clock was made according to the principle of the isochronism of pendulums, which was first discovered by the Italian scientist Galileo Galilei. If it takes 2 minutes for a pendulum ball to swing back and forth 60 times, the time for the pendulum ball to swing back and forth once is 2 seconds. Huygens, 1656.

Using the principle of isochronosis of the pendulum, the world's first pendulum clock was made.

In 1673, Huygens conducted a more in-depth study of the principles of his pendulum and published his book "Pendulum Clock". In this book, he not only chronicles in detail the invention of the pendulum clock, but also begins his research on centrifugal force.

research. He was the first to raise the question of the relationship between centrifugal force and distance and velocity

1) If the same object moves in different circles at the same speed, the centrifugal force is inversely proportional to the diameter, and the smaller the circle, the greater the centrifugal force.

2) If the same object moves in the same circle at different velocities, the centrifugal force is proportional to the square of the velocity. Huygens's research on the pendulum was the law of gravitation in the later Newtonian classical mechanics.

The establishment of the establishment provides a theoretical basis for re-clearing the void and the essential.

It is isochronism using the single pendulum.

It is this property that can be used for timing. Whereas, the periodic formula for a single pendulum is. Hour = 2 times of pi multiplied by (length of the hem of the root number divided by gravitational acceleration) t=2 (l g) From the formula and its derivation, it can be seen that the movement of the single pendulum depends on gravity and the pulling force of the rope.

The period of the swing of the god depends only on the length of the rope and the acceleration of gravity. The Earth's gravitational acceleration is fixed, and controlling the pendulum length allows the period to be adjusted to time it.

When Galileo discovered the isochronism of the chandelier's shaking (pendulum), he studied the single pendulum and concluded that the swing period was related to factors such as the length of the pendulum, and on this basis, he invented the pendulum clock.

<>1. The pendulum sail clock was invented by Dutch physicist Kerry model Stien Huygens.

Christian Huygens invented the pendulum clock using the principle of isochronism of the pendulum. After continuous improvement, it has been used to this day. The pendulum clock is made according to the law of the single pendulum, and the pendulum is used to control other parts to make the clock go fast and slow evenly, and it can usually report the point, and the spring should be used to provide energy to make the pendulum answer slow.