BIZOMAT MAKEOS · Engineering

Rolling Bearing Friction Torque and Heat

How much friction torque and heat does this rolling bearing produce?

Approximate friction torque, power loss and heat of a rolling bearing from its load, bore and a friction coefficient for the bearing type.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Bearing loadNResultant load on one bearing.
Bore diametermmBearing bore diameter.
Friction coefficient for the bearing typeApproximate constant friction coefficient from the bearing maker for the type (deep groove ball about 0.0015, cylindrical roller about 0.0011, spherical and tapered roller about 0.0018).
SpeedrpmShaft speed.
Number of bearingsbearingsNumber of similar bearings.

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: Bearing load
Illustration: Bearing loadA block with an arrow pushing on it; the arrow is the force Bearing load.PExample: 5000 NBearing load
What it is
The resultant load carried by one bearing, combining radial and axial loads, from your shaft load analysis.
Units and format
Enter a number in N: newtons. The form accepts 0.000001 N or more. Required: the tool does not calculate until every input is valid.
Example
The form opens with 5000 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Friction torque and power loss rise in direct proportion to load.
Get it right
Enter the load on one bearing, not the total for the shaft; the number of bearings multiplies the loss separately.
What this means: Bore diameter
Illustration: Bore diameterA circle with a line straight through its centre from edge to edge, marking the diameter Bore diameter.dmeasured acrossthe centreExample: 50 mmBore diameter
What it is
The bore diameter of the bearing, the diameter of the shaft seat, used as the lever arm for the friction force.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 50 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Friction torque and power loss rise in direct proportion to bore.
Get it right
Use the bore, not the outside diameter of the bearing.
What this means: Friction coefficient for the bearing type
Illustration: Friction coefficient for the bearing typeA block resting on a surface with the normal force pressing down and friction resisting sliding; Friction coefficient for the bearing type is friction force divided by normal force.NfrictionμExample: 0.0015Friction coefficient for the bearing type
What it is
An approximate constant friction coefficient for the bearing type, as given by the bearing maker, relating friction torque to load and bore.
Units and format
Enter a plain number with no unit. The form accepts 0.0005 to 0.05. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.0015 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Friction torque and power loss rise in direct proportion.
Get it right
Take it from the bearing maker’s catalogue for the type; it is a small dimensionless number, not a percentage.
What this means: Speed
Illustration: SpeedA turning disc with a marker; Speed is how many full turns it makes in each minute.turns of the shaftper minutenExample: 1500 rpmSpeed
What it is
The rotational speed of the shaft running in the bearings.
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 1500 rpm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Power loss rises in direct proportion to speed; friction torque does not change.
What this means: Number of bearings
Illustration: Number of bearingsA row of identical items being counted; Number of bearings is how many there are.nbExample: 2 bearingsNumber of bearings
What it is
How many similar bearings, each carrying the load entered, share in the total loss.
Units and format
Enter a number in bearings: bearings. The form accepts 1 bearings to 100 bearings. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2 bearings as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Total power loss and heat rise in proportion to the number of bearings.
Get it right
Count only bearings carrying a similar load; bearings with very different loads should be worked out separately.

Method and formulas

  1. Friction torque M = 0.5 μ P d.
  2. Power loss = M × 2πn ÷ 60 per bearing, times the number of bearings.
  3. Heat per hour = power × 3600.
  4. Example: 5000 N on a 50 mm bore at 1500 rpm loses about 58.905 W for 2 bearings.

Limitations

  • Constant-coefficient approximation for normal loads and good lubrication; seals, churning and high speed add losses.
  • Use the maker’s friction model for accurate thermal design.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Estimate bearing losses in a drive
  • Check heat input to a gearbox or spindle
  • Compare bearing types

Who it is for

  • Maintenance engineers
  • Reliability engineers
  • Maintenance technicians

What you get

  • Friction torque per bearing
  • Power loss
  • Heat per hour

Interpreting the result

  • Seal and lubricant drag often exceed load friction at light loads.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2365–2420. 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.

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Open the Rolling Bearing Friction Torque and Heat calculator