User:GiverOfThePeace/I Somehow Randomly Started a Standard Calc Blog

Introduction

So originally this was for MtG but I thought it'd be nice just to have a basic calculations thing for shaking systems.

Shaking the Earth

Now, we need to use the Impact Calculator. The circumference of the Earth is 40070 km; plugging in 2000km due to the fact that's the maximum, and playing with other values, we find that an impact that is IV on the Mercalli scale and 3.0 in the Richter magnitude releases an impact energy of around 2.76e+13 joules. We need the seismic energy here, however; and, to get that, we need to divide this value by 10,000.

2.76e+13 J/ 10,000 = 2760000000j

The radius of the Earth is 6563 km or 6563000 meters.

Seismic energy * area = E

4m*pi*(6563000m^2)= 82,473,90.3420392520961213 m^2

82473090.3420392520961213m^2 * 2760000000j = 2.2762572934402834e17 J or Mountain level.

Another method would be this: To find how strong of an impact it truly was, you use this equation:

(Magnitude at distance) + 6.399 + 1.66×log((r/110)×((2×π)/360)) = Richter Magnitude of Earthquake, with r representing the distance away from it.

In our case, it would be, using half of the Circumference of earth,

(4)+6.399+1.66×log((20037.5÷110)×((2×π)÷360)) = Magnitude 11.2328648415393

Now, we take the magnitude and use the formula for a joulecount from said magnitude listed in Earthquake Calculations

10^(1.5*(11.2328648415393)+4.8) is 4.459613919339E21 Joules, 1.06587330768147 Teratons, Small Country level

Shaking the Solar System

For lowball purposes we'll assume the planets are shaking specifically.

Now, we need to use the Impact Calculator. The circumference of the Earth is 40070 km; plugging in 2000km due to the fact that's the maximum, and playing with other values, we find that an impact that is IV on the Mercalli scale and 3.0 in the Richter magnitude releases an impact energy of around 2.76e+13 joules. We need the seismic energy here, however; and, to get that, we need to divide this value by 10,000.

2.76e+13 J/ 10,000 = 2760000000j =

The radius of the solar system is 4545000000000 meters.

Seismic energy * area = E

4m*pi*(4545000000000m^2) = 259,583,831,940,082,794,687,015,143.7379570922657321 m^2

259583831940082794687015143.7379570922657321m^2 * 2760000000 j = 716,451,376,154,628,513,336,161,796,716,761,574.653420596 J or 171.23598856468177587 Yottatons, aka Large Planet level

Shaking the Galaxy

Same formula but now we take the radius of the galaxy which looks to be 1,000,000,000,000,000,000 km.

4m*pi*(1e+21m)^2 = 12,566,370,614,359,172,953,850,573,533,118,011,536,788,677.5975004232838998 m^2

12,566,370,614,359,172,953,850,573,533,118,011,536,788,677.5975004232838998m^2 * 2760000000 j = 34,683,182,895,631,317,352,627,582,951,405,711,841,536,750,169,101,168.263563448 J, aka Solar System level

Shaking the Universe

The radius of the observable universe is 11500000000000 trillion light years, or 1.08798400434679e+29 meters.

4*pi*(1.08798400434679e+29m)^2 = 1.4874928427840380558e59m^2

E = 2760000000 j *1.4874928427840380558e59 m^2 = 4.105480246083945e68 J, aka Galaxy level