08/03/2026
MASTER PHYSICS WITH SAURABH SIR
The Physics of Power Conservation
In an industrial gearbox, the Power (P) delivered by the engine remains constant. We use the fundamental relationship:
P = τ × ω
(Power = Torque × Angular Velocity)
Because Power is constant, Torque and Speed share an inverse relationship:
τ1 × ω1 = τ2 × ω2
The Industrial Case Study: TATA Motors Engine
Input Torque (τ_in): 200 Nm
Input Speed (ω_in): 3000 RPM
Gear Ratio (k): Radius increases from 5 cm to 20 cm (Ratio = 4)
The Result?
Torque Multiplied: 200 Nm × 4 = 800 Nm (Massive pulling power!)
Speed Reduced: 3000 RPM / 4 = 750 RPM (Controlled climb)
The "Saurabh Mishra" Visual Shortcut
Stop wasting time on long derivations. Use my Inversion Map:
4x Larger Radius ➔ 4x Higher Torque ➔ 4x Lower Speed.
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