Hazbin Hotel: Stolas Calculations

Note: None of the calcs are owned by me

Stolas twists the sky[]

Stolas was powerful enough to spin a large amount of clouds around as a side effect of creating a large portal.

These look like cumulus clouds, which normally float 1,000 meters above the surface, and multiples types of cumulus clouds are at least 1,000 meters tall.

131 px = 1000 m

1440 px = 10,992.36 m

R = 5,496.18 m

Area = π(5,496.18 m)²

Area = 94,901,324.6 m²

Thickness = 1,000 m

Altitude = 1,000 m

M = 100,443,902,607.92 kg

Next is calculating the Rotational Kinetic Energy.

Moment of Inertia I (Cylinder) = 1/2×M×R²

I = 0.5×(100,443,902,607.92 kg)×(5,496.18 m)²

I = 1.51710443E18 kg⋅m²

Angular Velocity (w) = 2πf

For frequency, it takes about 1.68 seconds for the clouds to make a full revolution.

Frequency = 1/1.68 = 0.595238

w = 2π×0.595238

w = 3.73999 rad/s

RKE = 1/2×I×w²

KE = 0.5×(1.51710443E18 kg⋅m²)×(3.73999 rad/s)²

KE = 1.06102682E19 J

Y = 2.5359 Gigatons of TNT (High 7-A/Large Mountain level)

Stolas tanks a shockwave[]

The feat

Stolas sits on top of a moon which explodes in a shockwave which tears it apart, unfazed by the force of it.

Scan 1[]

Moon diameter = 786 px = 3474.8 km
Shockwave diameter = 852 px = 852 * (3474.8/786) = 3766.57709924 km
- Area = 4 * π * (3766.57709924/2)^2 = 44,570,098.7004 km^2

Scan 2[]

Moon = 786 px
Initial Split = 9 px = 9 * (3474.8/786) = 39.7877862595 km
Final Split = 92 px = 92 * (3474.8/786) = 406.719592875 km

Total Distance Split = 406.719592875 - 39.7877862595 = 366.931806615 km

Timeframe[]

21 frames pass in-between the frame right before the shockwave which splits the moon and the final shot of the moon before cutting back to Stolas and Octavia, according to this site. The frame rate is also 25 fps.

Timeframe = 21/25 = 0.84 seconds

Speed of Moon pieces = 366.931806615 km / 0.84 seconds = 436,823.579 m/s (Massively Hypersonic+)

Kinetic Energy[]

Mass = 7.348e+22 kg

KE = (1/2) * (7.348e+22 kg) * (436,823.579 m/s)^2 = 7.0105372e+33 J = 1.675 Yottatons of TNT (5-B/Planet level)

Inverse Square Law[]

Since the shockwave is omni-directional, the inverse square law needs to be used to get the energy at it's epicenter.

Surface area of Moon = 37,940,000 km^2

Surface area of Shockwave = 44,570,098.7004 km^2 (FRA)

7.0105372e+33 * (44570098.7004/37940000) = 8.235644e+33 J = 1.968 Yottatons of TNT (5-B/Planet level+)

Energy Taken by Stolas[]

Shockwave Surface Area = 44,570,098.7004 km^2
Stolas Surface Area = 3.63066122624 m^2 = 3.63066122624e-6 km^2

Energy = 8.235644e+33 * (3.63066122624e-6/44,570,098.7004) = 6.7087205e+20 J = 160.34 Gigatons of TNT (High 6-C/Large Island level)

Stolas tanks a star explosion[]

Energy of the star = 2.0416744e+44 Joules (High 4-C/Large Star level)

Distance = 5262300000 meters

E = 2.0416744e+44 / (4 * π * (5262300000)²) = 586,712,596,882,460,791,554,261.32312341 J/m² or 140.2276 Teratons/m²

Honestly, the 0.68 m² area doesn't apply since Stolas is like 8 feet tall, but luckily, someone managed to calculate his surface area. They've calculated it to be 3.63066122624 m².

586712596882460791554261.32312341 J/m² * 3.63066122624 m² = 2130154676447729898613115.4509086 joules, or 509.12 Teratons (High 6-B+/Large Country level+)