Horsepower to Torque Calculator

Convert horsepower (HP) to torque with precision.

What is Horsepower and Torque?

Horsepower (HP) and torque are two fundamental concepts in automotive and mechanical engineering, often used to describe the performance of engines and machinery:

Horsepower (HP)

Horsepower measures the rate of work done or the power output of an engine. In simple terms, it tells you how fast work can be performed. For vehicles, higher horsepower usually means faster speeds and better acceleration.

Formula:

HP = (Torque × RPM) / 5252
ℹ️ 5252 is a constant derived from the relationship between horsepower and torque in imperial units

Example of Horsepower:

Consider a car engine that produces 300 lb-ft of torque at 4000 RPM. To calculate the horsepower:

HP = (300 lb-ft × 4000 RPM) / 5252
≈ 228.5 HP

This means the engine can perform work at a rate of approximately 228.5 horsepower.

Torque

Torque is the rotational force produced by an engine or a machine, measured in units like Newton-meters (Nm) or pound-feet (lb-ft). It tells you how much twisting force is available.

Think of torque as the “force” and horsepower as the “speed of applying that force.”

Example of Torque:

High Torque Applications:
  • Towing heavy loads
  • Climbing steep hills
  • Accelerating heavy vehicles

Imagine a truck engine that produces 500 lb-ft of torque. This high torque allows the truck to tow heavy loads, such as a trailer or a boat, effectively.

Horsepower to Torque Formula

T = (HP × K) / RPM

Where:
T = Torque (in the specified unit)
HP = Horsepower
RPM = Engine speed in revolutions per minute
K = Unit-specific constant that converts horsepower to torque

This formula illustrates how torque is derived from horsepower and engine speed, emphasizing the importance of the constant K, which varies based on the unit of torque being used.

Torque Units and Constants

Newton-meter (Nm)

The standard metric unit widely used in engineering and automotive applications.

K = 9549

T(Nm) = (HP × 9549) / RPM

At HP = 1 and RPM = 1:

T = 9549 Nm

Pound-foot (lb-ft)

An imperial unit commonly used in the U.S. for vehicle torque specifications.

K = 5252

T(lb-ft) = (HP × 5252) / RPM

At HP = 1 and RPM = 1:

T = 5252 lb-ft

Pound-inch (lb-in)

Used for smaller mechanical systems, such as tools and appliances.

K = 63024

T(lb-in) = (HP × 63024) / RPM

At HP = 1 and RPM = 1:

T = 63024 lb-in

Note: 1 lb-ft = 12 lb-in

Kilogram-force meter (kgf·m)

An alternative metric unit that is sometimes used in engineering contexts.

K = 974.4

T(kgf·m) = (HP × 974.4) / RPM

At HP = 1 and RPM = 1:

T = 974.4 kgf·m

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