What formula does this calculator use?

It uses the standard rotational power formula: P = T · ω, where ω (angular velocity) is calculated as 2π · n / 60 (with n in rpm).

What units of power are supported?

The calculator supports Watts (W), Kilowatts (kW), and Horsepower (hp).

Can I calculate torque if I only know the horsepower and RPM?

Yes, switch the calculation mode to 'Torque from power and speed', enter the power in hp and speed in rpm, and the tool will output the torque in N·m.

What is the relationship between angular velocity and RPM in this tool?

Angular velocity (ω) in radians per second is calculated directly from the rotational speed (n) in rpm using the formula ω = 2π · n / 60.

Does this calculator account for transmission efficiency losses?

No, this calculator computes the theoretical mechanical shaft power based purely on rigid body physics without friction or efficiency losses.

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Shaft Power Calculator

Calculate the power transmitted by a rotating shaft. P = T·ω = 2π·n·T/60. Solve power from torque and speed, or torque from power and speed. Supports W/kW/hp.

Execution

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1 examples

T=100 N·m at 1500 rpm

ω = 2π·1500/60 ≈ 157.08 rad/s, P = 100·157.08 ≈ 15708 W = 15.708 kW ≈ 21.05 hp.

{"result":"P = 2π·n·T/60 = 2π·1500·100/60 = 15707.96 W = 15.708 kW. ω = 157.0796 rad/s.","metadata":{"input":{"mode":"power","torque":100,"speed":1500,"powerUnit":"kW"},"result":{"power":15.708,"powerUnit":"kW","angularVelocity":157.0796}}}

Inputs

Set the required fields, then run the tool.

6 options

SettingsAdjust formats, ranges, numbers, and modes.6

Calculation ModeselectOptionalTorque T (N·m)numberOptionalShaft torque in N·m. Required in Power mode.Rotational Speed n (rpm)numberRequiredPower PnumberOptionalShaft power, in the selected power unit. Required in Torque mode.Power UnitselectOptionalDecimal PlacesnumberOptional

Result

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Samples

Shaft Power Calculator

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Key facts

Overview

When to use

How it works

Use cases

Examples

1. Calculating Motor Power from Torque and Speed

2. Determining Shaft Torque for a 50 hp Pump

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