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Introduction

Because that's flipping cool.

Calc done for the Star Wars upgrade thead.

The Calculation

Step #1: Scaling Fingers

Yoda v Mount2

Yoda stands at 0.66 Meters, or 66 Centimeters. So 13 Pixels = 66 Centimeters.

The diameter of the finger is 58 Pixels.

58 / 13 = 4.461538461538462

66 * 4.461538461538462 = 294.4615384615385 cm, or 2.94 Meters (1.47 in Radius) (I have a feeling this wont yield nearly as high results as I think it will).

And the length of the finger is 160 Pixels.

160 / 13 = 12.30769230769231

66 * 12.30769230769231 = 812.3076923076925 cm, or 8.12 Meters

pi × r2 × h

pi × 1.47^2 × 8.12 = 55.123980629 m^3

They have 4 fingers on each hand (from my count), so exuding thumbs, that's a total of 6 fingers.

55.123980629 * 6 = 330.743883774 m^3

Step #2: Scaling the Body

Arms

Yoda v Mount3

Hoo boy.

So 46 Pixels = 2.94 Meters

The arm has a diameter of 128 Pixels.

128 / 46 = 2.782608695652174

2.94 * 2.782608695652174 = 8.180869565217392 Meters

8.180869565217392 / 2 = 4.09

The length of the arm is 410 Pixels

410 / 46 = 8.91304347826087

2.94 * 8.91304347826087 = 26.2 Meters

pi × 4.09^2 × 26.2 = 1376.885353 m^3

Double that for both arms.

1376.885353 * 2 = 2753.770706 m^3

Legs

The leg has a diameter of 123 Pixels.

123 / 46 = 2.673913043478261

2.94 * 2.673913043478261 = 7.861304347826087 Meters

7.861304347826087 / 2 = 3.930652173913044 Meters

The length has a length of 451 Pixels

451 / 46 = 9.8

2.49 * 9.8 = 24.402 Meters

pi × 3.930652173913044^2 × 24.402 = 1184.41670623 m^3

Double that for both legs.

1184.41670623 * 2 = 2368.83341246 m^3

Body

Width of the body is 44 Pixels.

46 / 44 = 1.045454545454545

2.49 / 1.045454545454545 = 2.381739130434784 Meters

The Length of the Body is 278 Pixels.

278 / 46 = 6.043478260869565

2.49 * 6.043478260869565 = 15 Meters

And the height of the body is 504 Pixels

504 / 46 = 10.95652173913043

2.49 * 10.95652173913043 = 27.28173913043477 Meters

LHW

15 * 27.28173913043477 * 2.381739130434784 = 974.6 m^3 (I expected it to be bigger)

East Spike

The diameter of the spike is 62 Pixels.

62 / 46 = 1.347826086956522

2.49 * 1.347826086956522 = 3.35 Meters

3.35608695652174 / 2 = 1.67804347826087

The height of the spike is 170 Pixels.

170 / 46 = 3.695652173913043

2.49 * 3.695652173913043 = 9.2 Meters

(pi × 1.67804347826087^2 × 9.2)/3 = 27.1283177618 m^3

(pi × r2 × 9.2)/3

Middle Spike

The diameter is 102 Pixels.

102 / 46 = 2.217391304347826

2.49 * 2.217391304347826 = 5.521304347826087 Meters

5.521304347826087 / 2 = 2.760652173913044 Meters

The height of the horn is at least 197 Pixels.

197 / 46 = 4.282608695652174

2.49 * 4.282608695652174 = 10.66369565217391 Meters

(pi × 2.760652173913044^2 × 10.66369565217391)/3 = 85.10 m^3

West Spike

The west spike has a diameter of 45 Pixels.

46 / 45 = 1.022222222222222

2.49 / 1.022222222222222 = 2.435869565217392 Meters

2.435869565217392 / 2 = 1.217934782608696 Meters

And the height is 154 Pixels.

154 / 46 = 3.347826086956522

2.49 * 3.347826086956522 = 8.33608695652174 Meters

(pi × 1.217934782608696^2 × 8.33608695652174)/3 = 12.9 m^3

Step #3: Total Volume and Mass

12.9 + 85.10 + 27.1283177618 + 974.6 + 2368.83341246 + 2753.770706 + 1376.885353 + 330.743883774 = 7929.961673 m^3

Density of Granite is 2750 kg/m^3

2750 * 7929.961673 = 21,807,394.6007 kg. Class M lifting strength.

Step #4: Potential Energy

PE = MGH

M = Mass

Mass = 21,807,394.6007 kg

G = Gravity

Gravity = 9.8

H = Height

Now just to fight the height.

Yoda v Mount4

Yoda is 14 Pixels (again?). So 14 Pixels = 66 cm

He threw it 127 Pixels.

127 / 14 = 9.071428571428571

66 * 9.071428571428571 = 598.7142857142857 cm, or 5.98 Meters

21,807,394.6007 * 9.8 * 5.98 = 1278000553.18 Joules

0.3 Tons.

Building level.

Well...that's incredibly underwhelming.

Using the entire height of the mountain would yield

21,807,394.6007 * 9.8 * 39.84 = 8,514,304,688.74 Joules, or 2 Tons.

Well then..I probably messed up somewhere. I might try redoing it scaling off the foot instead, but I doubt it'll increase the results, it might decrease them actually.

Edit: So, I recall Soldier Blue saying these Rocks were said to be abnormally strong and hard, so I guess using the density of Basalt could apply here. It has a density of 3.0 g/cm^3 or 3,000 kg/m^3

7929.961673 * 3000 = 23,789,885.019 kg

23789885.019 * 9.8 * 5.98 = 1394182421.65 Joules

0.33 Tons

Bleh

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