"Teacher, do you think it's inconvenient to not have an accurate timing tool now? These sundials, hourglass, water leaks and so on are too rough."

That afternoon, Jiayi found Im, and the beginning was about the clock, or the timing tool.

"Is there anything you have?" When Im heard Jiayi's words, he knew that he wanted to do something and needed his own help.

Jiayi said: "Teacher, I found something after reading the papers on the three laws of motion in the collection of papers you brought back."

"Oh? What's the matter?"

"If we tie a small ball on a thin wire, then the time of the ball swing is equal, especially at a small angle. I calculated it through the three laws of motion and the acceleration of gravity, and the swing time is theoretically equal." Jia explained to Im at the beginning.

"How do you prove it?" Im asked. If there is no detailed proof process, then the theory you invented is basically not absolutely wrong, at least it cannot be considered correct.

"We first form a single pendulum with an idealized pendulum ball and a cycloid. The cycloid is provided by a thin line that is not counted for mass and cannot be stretched; the pendulum ball has a large density and the radius of the ball is much smaller than the length of the cycloid. This way, when the angle of the pendulum is particularly small, we can think of this as a simple harmony motion..."

At the beginning, Jia took out the paper and pen, and while drawing the picture, he demonstrated the calculation process to Im.

Finally, he concluded: "In this way, the time of a single pendulum is only related to the length of the cycloid, and has nothing to do with other factors. If we choose a suitable cycloid length, we can time it according to this."

After seeing the process and method of Jiayi's proof, Im had to be impressed by his keen insight. In theory, Jiayi's method is very feasible.

He was persuaded by Jiayi and began to design and make pendulum clocks with Jiayi.

Since I decided to start making a pendulum clock, the first thing I need to define is the most basic unit, seconds. The whole day here is divided into 12 hours. In order to facilitate himself, Kazuichi persuaded Im to divide 1 hour according to the division method of his previous life, which became a 24-hour system. Then, he also used the easy division of the disc. In ancient times, there were 60 minutes and 60 seconds, allowing Im to receive the setting of one hour and 60 minutes and one minute and 60 seconds.

This is very necessary. If the basic time unit cannot be confirmed, the next work cannot continue. It turns out that the magicians used standard magic hourglass to pass the standard magic hourglass, which seemed to be about 24 minutes after leaking, but they did not continue to subdivide it. They only talk about a few hourglass and a few tenth of an hourglass.

After determining the basic unit of seconds, Jia initially calculated how long the swing rope needed for a second swing according to the formula. The gravity acceleration here is different from the Earth, faster, and the rotation time of each circle is longer. This leads to a second here being longer than Jia Yi's previous life on Earth, and about 1 second here is 1.25 seconds.

Of course, we are not discussing these. As long as we know that now there are 24 hours a day, 3,600 seconds per hour, it is too wasteful to redefine the time.

No matter how long it is in a second!

In fact, the principle of single pendulum is easy to understand, and the length of single pendulum is easy to calculate. In this world, the pi is also calculated to be 9 after the decimal point, and there is a basis for squared opening.

Speaking of how to square it is still what Jiayi learned in this world. Because when Jiayi was in school in her previous life, the school no longer taught how to manually prescribe squares. Using a calculator, even if you don’t use a calculator, you will give an approximate value after prescribing squares. So after Jiayi arrived in this world, he was a little confused about prescribing squares.

At first, he could only rely on the correct value step by step. For example, if the square of 3 is opened, he first calculated using 1.5. If it is small, add to 1.6, and still small, add to 1.8, and reduce to 1.7. Now he gets between 1.7 and 1.8, then calculates 1.75. If it continues like this, it is very cumbersome and unscientific.

Fortunately, after learning from Im, I made up this part. It is actually simple. Large numbers can be divided into two sections, thousands of digits and ten digits. When combined, if the value is relatively small, there is a formula that approximates the correct value step by step by step through repeated calculations. Although it cannot be done in one step, it is much easier than the original method.

With these foundations, Jiayi calculated the pendulum length for one second based on Newton's three laws, although it was not very accurate.

After confirming these basic information, Jia started designing the drawings. This step was with Im, but the drawing work was handed over to Jiayi. Whoever asked Jiayi to draw has some skills, and it was just right to use it to draw pictures.

These can be solved by calculation, and it will be more difficult to design part. After all, he has never made a clock and is not familiar with the internal structure. When his family was poor in his previous life, he could not afford a clock. By the time he could afford it, the clock had been eliminated and turned into a small alarm clock, and then there was an electronic clock.

But Jiayi knew the structure of the pendulum clock. He once went to Baidu to spend the principle of the clock. The time of the pendulum is indeed fixed, but due to resistance, the pendulum will slower and slower and eventually stop. He had never understood why the clock could keep moving after being on the clock. It was not until he saw the video of the principle of the clock.

In addition to the pendulum control time standard, the most important remaining ones are the escape wheel and the escapement fork. These two constitute the escapement system. The swing of the pendulum controls the movement of the second hand through this. At the same time, the escape wheel and escapement fork have a subtle angle. While controlling the movement of the pointer, it gives the pendulum a weak force, so that it can overcome the resistance during the swing.

Of course, these are theoretically not as simple as it sounds. The escapement wheel and escapement fork need to be carefully designed to ensure that only one gear is passed at a time and the second hand only takes one step. There is also power. Jiayi has not used the clockwork directly at the beginning. He wrapped a wire on the axle of the gear, and tied a heavy object under the wire to use gravity as power.

Of course, this is just a temporary measure, but the production of clockwork is not simple. In addition to the need for appropriate steel, it also needs to be cut into thin enough, able to be rolled up, elastic enough, etc. Jiayi felt that this was still too troublesome, so he decided to make do with the power first and then put it on after the clockwork.

In fact, what Jiayi wanted to make the most is pocket watches, because there is magic. Although the industrial batch production is not as good as the modern craftsmanship on earth, it is not even at the level of the early 20th century. However, with the assistance of magic, fine processing of handmade processing can be very exquisite. However, he did not understand the principle of the timer mechanism of the pocket watch. He had only heard of quartz watches, but he did not know the principle of quartz vibration. Even if he disassembled it himself, he could not see the principle.
Chapter completed!