BIZOMAT MAKEOS · Mechanics

Prony Brake and Absorption Dynamometer Power

How much power is the machine delivering according to the brake arm, scale reading and speed?

Torque and power absorbed by a Prony brake or water brake from the brake arm length, the scale reading under load, the zero reading and the shaft speed, with the heat that must be carried away.

Open the calculatorRuns in your browser. No account needed.

How this tool works

Inputs, units and where to find them

InputUnitTypical source
Brake arm lengthmHorizontal distance from the shaft axis to the knife edge on the scale.
Scale reading with the brake absorbing powerNScale reading while the brake absorbs power.
Zero reading (frictionless)NScale reading with friction removed (average of slow forward and backward readings).
Shaft speedrpmSpeed of the braked pulley.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Brake arm length
Illustration: Brake arm lengthA bar with a dimension line and arrows from one end to the other, marking the length Brake arm length.LExample: 1 mBrake arm length
What it is
The horizontal distance from the shaft axis to the point where the brake arm presses on the scale (the knife edge), measured at right angles to the scale force.
Units and format
Enter a number in m: metres. The form accepts 0.000001 m to 100 m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1 m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Torque and power rise in proportion for the same scale reading.
What this means: Scale reading with the brake absorbing power
Illustration: Scale reading with the brake absorbing powerA block with an arrow pushing on it; the arrow is the force Scale reading with the brake absorbing power.FExample: 250 NScale reading with the brake absorbing power
What it is
The force shown on the scale while the brake is loaded and absorbing power at the test speed, before the zero reading is taken off.
Units and format
Enter a number in N: newtons. The form accepts 0 N to 100000000 N. Required: the tool does not calculate until every input is valid.
Example
The form opens with 250 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Power rises in proportion to this reading minus the zero reading.
Get it right
Take the reading only once the speed and the scale have settled.
What this means: Zero reading (frictionless)
Illustration: Zero reading (frictionless)A block with an arrow pushing on it; the arrow is the force Zero reading (frictionless).FExample: 50 NZero reading (frictionless)
What it is
The scale reading from the weight of the arm and brake alone with no friction acting, found by averaging readings taken while the pulley is turned slowly forward and backward.
Units and format
Enter a number in N: newtons. The form accepts 0 N to 100000000 N. Required: the tool does not calculate until every input is valid.
Example
The form opens with 50 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
It must be lower than the loaded reading; the difference is the net brake force.
What this means: Shaft speed
Illustration: Shaft speedA turning disc with a marker; Shaft speed is how many full turns it makes in each minute.turns of the shaftper minutenExample: 600 rpmShaft speed
What it is
The rotational speed of the braked pulley or shaft while the scale reading is taken.
Units and format
Enter a number in rpm: revolutions per minute. The form accepts 0.000001 rpm to 1000000 rpm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 600 rpm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Power rises in proportion; the torque does not depend on speed.

Method and formulas

  1. Brake reading W = tare − zero reading.
  2. Torque = W L; power = 2π L n W ÷ 60 (the handbook’s H.P. = 2π L N W ÷ 33,000 in feet, rpm and pounds).
  3. All absorbed power becomes heat in the brake.
  4. Example: 200 N net on a 1 m arm at 600 rpm is 12.566 kW.

Limitations

  • Steady running; readings fluctuate with friction changes.
  • Water brakes need continuous water flow to remove the heat.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Measure the output power of a motor or engine on test
  • Check a gearbox’s delivered torque
  • Size cooling for a brake test rig

Who it is for

  • Test engineers
  • Maintenance engineers
  • Engineering students

What you get

  • Brake reading and torque
  • Power absorbed
  • Heat to remove

Interpreting the result

  • Take readings at several loads to plot the machine’s torque and power curve.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2998–2999. Topic reference; no source tables or recommended settings are reproduced.

Learn the Concepts Behind This Tool

These BIZOMAT Library readings explain the method this tool uses, with worked examples.

BIZOMAT tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

Open the Prony Brake and Absorption Dynamometer Power calculator