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According to the law of universal gravitation, the big ball will exert gravitational force on the small ball, and the entire T-shaped torsion balance will rotate an angle toward the direction of the big ball. The greater the gravitational force, the greater the torsion angle.
Then conversely, we only need to measure the angle of rotation of the wire rope to calculate the force on both ends of the swing arm.
After Lin En's explanation, the wizards became very interested in this small and exquisite device and stared at it closely.
"Did you see anything, Pierce?" Alok stared at the small ball hanging on the swing arm. He didn't see any disturbance for a long time. He looked at his companion beside him and asked in a low voice.
"Of course, just like what the professor said, the small sphere is being pulled closer by the gravity of the big sphere..." Peirce nodded pretentiously, also keeping an eye on the torsion balance on the platform. But like Alok, his eyes were sore from watching, but he couldn't detect any changes at all.
But since the professor said this method works, it must be right!
The wizards in the hall were also looking at the balls. Except for a few people like Harof and Raphael who could see the hanging steel ropes turning slightly, everyone else was confused. A male wizard could not help but stood up and asked directly.
"Mr. Lin En, has your experiment started?"
Lin En nodded and said casually, "Just wait another minute and you will be able to see it clearly!"
Seeing Lin En's certainty, the impatient wizards on the field had no choice but to continue waiting.
The hands of the magic clock soon passed twelve o'clock!
The sun was already high overhead, the rays of light shining directly down.
At the same moment, Lynn picked up an extremely small glass mirror and reflected the sunlight coming directly from the skylight onto the thin steel rope.
It was not until then that many wizards noticed that there was also a strange round mirror hanging at the middle end of the wire rope. After the sunlight hit the center of the round mirror, it was reflected again onto the scale on the opposite side.
"I saw it, it's moving, the light spot is moving!" Lydia shouted loudly.
In fact, Lydia didn't need to remind them. This time everyone could see it very clearly. The light spot reflected on the scale was slowly moving to the right, from the zero mark to the one mark.
"Could this be the effect of the Coriolis force?" a witch suddenly interrupted in a depressing tone.
Luo Er and others immediately thought of this.
Yes, is it possible that the Coriolis force is affecting the slow movement of the ball, just like the pendulum before?
Lin En didn't reply, and directly moved the large round ball that was originally placed on the right side of the small ball to the left side. After a moment, the light spot changed direction and began to shift to the left, slowly returning from the first scale to the zero scale.
After seeing this incredibly magical scene, everyone had no more doubts in their hearts, only shock remained!
Even the most demanding and cunning person cannot deny the existence of gravity.
After all, the light spot does not move randomly, but changes with the location of the big sphere.
So there is no doubt that this is definitely the influence of gravity!
It is the attraction caused by the space distortion phenomenon!
Compared to the other wizards who were amazed at the theory of gravity, Harof was more concerned with the ingenuity of the experiment itself.
The gravitational force of a 50-kilogram iron ball is almost negligible, but Lin En used his long swinging arms to amplify this tiny effect once, and then amplified it a second time through light, thus presenting the subtle space distortion that is imperceptible on a normal day so intuitively in front of them!
Harof couldn't help but express the same sigh as Raphael. What on earth was wrong with the other party's brain that he could come up with such a brilliant idea?
Chapter 160 Mathematical Olympiad is the foundation of everything
In order to ensure that the calculated gravitational constant was accurate enough, Lin En once again asked the great wizards to create a vacuum area, and asked Johnny and others to retreat from the platform to minimize the interference. After several experiments, the final value of the gravitational constant was soon presented to everyone.
6.67×10^－11N·m^2/kg^2
This is basically the same as the universe in the previous life. It seems that apart from the special energy of magic, the basic parameters of the two universes are roughly the same.
However, the N representing the symbol of gravity may need to be replaced by L representing itself. Another important data, gravitational acceleration, has long been calculated by Lin En, which is about 10m/s^2, slightly higher than the Earth's value of 9.8.
With these two values, it becomes extremely easy to calculate the weight of the planet under your feet. You only need to use the golden substitution formula GM=gR^2 derived from the formula of universal gravitation.
That is, the gravitational acceleration multiplied by the square of the radius and then divided by the gravitational constant.
After Lin En roughly explained the derivation process of the formula, Harov and others immediately took out paper and pen to start calculating.
The square of the huge planet value, divided by the extremely small gravitational constant, is a very tedious calculation...
"I can't figure it out, I can't figure it out... It's too difficult!" Rawl felt dizzy as he looked at the numbers piled up on a whole page of parchment.
Raphael beside him was grabbing his few hairs desperately, with beads of sweat already appearing on his forehead, just to calculate the final result.
Even though there are thousands of obstacles, few people choose to give up. After all, the final mystery of the planet is right in front of them. They have arrived at the door of truth and only need to kick it open with the final push.
The only problem is that this door is too hard, and it's easy to break your bones if you kick it...
After a full hour and a half, a wizard stood up excitedly, almost mad, and shouted loudly, "I calculated it, it's 67 trillion tons!"
After saying this, he stared straight at Lin En, hoping to get his affirmation.
However, Lin En just shook his head. Harov, who had just calculated the data, was much more straightforward and rejected it directly. "Wrong, very wrong!"
"Wrong, how could it be wrong?" The excitement on the wizard's face froze immediately. He grabbed several pieces of parchment in front of him and reviewed them carefully several times before he realized that he had made a mistake in writing the value of the planet's radius. The unit he used was kilometers.
That means he needs to add N zeros and recalculate...all his one and a half hours of calculations were wasted!
Realizing this, the wizard trembled, spat out a mouthful of blood, and fainted on the spot.
Alok looked at him with pity, then stopped writing. Even for formal wizards, calculations were so difficult, so it would be better for apprentices like them to just wait for the answer.
Although calculations on huge numbers are difficult, as time goes by, more and more people have figured out the results. It is a number that cannot be accurately described by any existing units, and it can only be presented intuitively by using Olympiad mathematics formulas.
7.08×10^24kg!
"No wonder, in the [Arcane Society], Olympiad mathematics is the foundation of everything..." Harov finally understood.
Values like gravity and stars, which are either extremely huge or as small as dust, can only be clearly calculated through Olympiad mathematics derivation.
Thinking of this, Harof directly announced the result. After getting Lin's confirmation, he secretly breathed a sigh of relief. With such a huge number, even after repeated confirmation, he couldn't help but worry that there would be errors.
Koror and the others looked at Ogest with strange eyes. They remembered what the Magic Star estimated the weight of the planet to be? It seemed to be 30 trillion tons...
Isn’t this a bit too much?
It seems that the so-called magic star is nothing more than that. Compared with Lin En's universal gravitational substitution formula that directly points to the essence of weight, the method of dividing and calculating the weight of the soil is not worth mentioning at all...
Facing the mocking gazes of Krol and others, August remained calm. The 20% deviation he mentioned actually refers to the number of zeros...
……
The discussion about the gravitational constant and the weight of planets continued until the evening. Some fanatical wizards of the prophecy school even estimated the mass of other planets in the star system based on the law of universal gravitation, intending to reconstruct a picture of the movement of stars.
The witches in the venue were more interested in the round mirror that Lin En took out during the experiment. After learning that this smooth and flawless glass mirror could be mass-produced and sold for only twenty magic gold coins, they were overjoyed.
It was not until the end of the seminar that Lynn was finally free from the situation of being hounded and questioned.
In order to make these wizards understand certain terms, he really racked his brains. After all, there were so many things to explain.
The culture, vocabulary, scientific level, and even the brain circuits of the two worlds are different. For example, to use the universal gravitational formula to calculate the weight of a planet, you have to first tell these wizards that weight is the intrinsic mass multiplied by acceleration, and then you have to explain what mass is...
Fortunately, the effect of all this effort was far beyond his expectations. The Secret Society, Mathematical Olympiad and Iyeta School became famous in the land of wizards, so much so that some lone wizards began to test his attitude and asked if they could join the Iyeta School.
"Your nomination for the Order of the Corona has been approved by parliament, and the awarding ceremony will be held in two days. You'd better take some time to prepare." Harov said with a smile.
“Are there any rules or things we need to pay attention to?” Lin En asked. He thought he just had to go up and receive the award.
"That's not the case, but this is the first time that the highest award of magic science is awarded to an official wizard, so you should say a few more words to convince others." Harov said jokingly, then he straightened his face and continued, "I think your theory of gravity still has some omissions."
Lynn's expression also became serious, but he soon heard Harov speak solemnly.
"It's not just mass that can affect time and space, it's also magic!"
Lin En was suddenly at a loss whether to laugh or cry. He thought the other party was going to say something new.
Of course he knew this, after all, matter is energy and energy is matter!
But now is not the time to come up with the mass-energy equation.
As for the law of universal gravitation, even without me, Harov would be able to deduce it in a few years. All he lacked was an inspiration...
Chapter 161: Use the law of universal gravitation to reconstruct force field magic!
On the way back to the school lounge, Harof was discussing with Lin the impact of magic on the curvature of space.
Lin En had been in the field of magic for a long time and had listened to Harov's detailed explanations, so he naturally answered questions fluently. He even brought out the best magic structure proposed by the other party for re-discussion and openly asked about the parts he didn't understand.
As Harof answered the questions one by one, he couldn't help but sigh. Even a three-ring wizard like Lin En had such a deep understanding of the connection between magic and time and space. How could those legendary wizards of the [Arcane Society] know nothing about the optimal magic structure? He really was overthinking it.
Maybe it was just because the questions he asked were too low-level and the other party was too lazy to answer, so he acted so perfunctorily.
Harov thought so, then his expression paused, as if he had heard something, with a helpless expression on his face, but he still spoke.
"I have a friend who is very interested in the glass mirror that can flash and can't wait to have one. Do you still have it in stock?"
Is this friend talking about you?
Lin En looked at Harrov with a strange look. He thought that this legendary wizard, who usually dressed very casually, even unkempt, would not be interested in the glass mirror.
Of course, it may also be due to academic research considerations, or for relatives or children.
Without any hesitation, Lin En handed over the large round mirror that he had removed from the torsion balance device.
"It's twenty gold coins, right? I'll ask Korol to deliver it tomorrow." Harov took the round mirror, said something casually, and then handed it to his side.
Under Lin En's gaze, the round mirror disappeared silently.
Could it be that Harov has something like a storage tool? But why have I never heard of this thing?
Lin En thought about it in surprise, but he didn't ask any questions rashly. After saying goodbye to Harov, he went straight back to the lounge of the school.
He couldn't wait to verify his guess!
After perfecting the law of universal gravitation with the help of the parliament's mobilization capabilities, Lin En had a vague feeling that he did not need more computing power to perform some force field magic.
This is not an unfounded guess, because a wizard's spellcasting can be likened to running a program or solving a very complex equation.
When there are unknown numbers, we can only find the answer by substituting different values over and over again and using the process of elimination.
Now it is equivalent to turning two of the unknowns into definite values. The first is the gravitational constant of the universe, and the second is the space-time curvature of the earth's surface. In this way, the computing power required to release force field magic is reduced by several times.
This is also the reason why Harof and others said that the law of universal gravitation will become the founding theory of space magic.
So during the two days of waiting for the award ceremony, Lin En closed the door to visitors and concentrated on studying the spell model of force field magic.
All other matters were left to Philip and others, and they were asked to purchase a suitable property in Greenridge as the future residence of the Iyeta School.