Figiva Edge Calc
electronics Engineering Reference Matrix

Torque vs Horsepower: Rotational Force, Engine Speed & Mechanical Power

Torque represents rotational turning effort (measured in lb-ft or N-m), while horsepower measures the rate at which work is performed over time. Torque and horsepower curves always intersect at exactly 5,252 RPM on any dynamometer graph.

Governing Formula: Horsepower: HP = (Torque_lb_ft * RPM) / 5252

Technical Comparison & Conversion Matrix

Engineering Dimension Torque (Tau) Horsepower (HP)
Measurement Type Rotational moment / Static force Dynamic power / Rate of work
Standard Units Pound-feet (lb-ft) or Newton-meters (N-m) Mechanical Horsepower (HP) or Kilowatts (kW)
Mathematical Identity Tau = Force * Radius HP = (Torque * RPM) / 5252
Operational Impact Initial acceleration and pulling capability Top speed and sustained high-RPM capacity
5252 Crossover Torque > HP below 5,252 RPM HP > Torque above 5,252 RPM
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Live Calculator: 1-Rep Max (1RM) Workout Percentage & Barbell Plate Loader

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Computed Output

Target Barbell Training Weight
252.5 lbs (80% of 315 lbs)
Required Plate Weight Per Side
103.75 lbs / side
Olympic Plates Required Per Side
45, 45, 10, 2.5, 1.25
Estimated Reps to Failure at Intensity
3-4 RIR (RPE 6-7)

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1-Rep Max (1RM) Workout Percentage & Barbell Plate Loader

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Frequently Asked Questions

Why do torque and horsepower always cross at 5,252 RPM?

Because 1 horsepower is defined as 33,000 ft-lb/min. In rotational mechanics with 2*pi radians per revolution, 33,000 / (2 * pi) = 5252.113. When RPM is 5,252, the fraction equals 1.0, making Torque and HP numerically identical.

Can an electric motor have high torque but low horsepower?

Yes. Electric traction motors produce peak torque at 0 RPM (stall). Because horsepower is the product of torque and RPM, horsepower at low RPM remains modest despite extreme turning torque.