BIZOMAT MAKEOS · Manufacturing

Surface Grinding Planner (Speeds, Removal Rate, Power and Time)

What wheel speed, removal rate and spindle power does this surface grinding job need, and how long will it take?

Plan of a reciprocating surface grinding operation with the wheel covering the work width: wheel surface speed against the wheel’s maximum operating speed, speed ratio, contact length (as the grinding geometry tool), equivalent chip thickness, specific removal rate and removal rate, grinding power from your specific grinding energy against the spindle power, and passes and time for the stock with spark-out passes.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Wheel diametermmDiameter of the grinding wheel.
Wheel speedrpmSpindle speed.
Wheel maximum operating speed (marked)m/sMaximum operating speed marked on the wheel; never exceed it.
Table speedm/minTable (work) speed.
Depth per passmmDown-feed per pass.
Width groundmmWidth of the ground surface (the wheel covers it in each pass).
Work lengthmmLength of the work.
Overtravel each endmmOvertravel beyond the work at each end.
Stock to removemmTotal depth to remove.
Spark-out passesPasses with no down-feed at the end.
Specific grinding energyJ/mm³Specific energy to grind the material with this wheel (your value from tests or the wheel maker; much higher for fine finishing cuts).
Spindle motor powerkWRated power of the spindle motor.
Spindle efficiency%Share of motor power available at the wheel.

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: Wheel diameter
Illustration: Wheel diameterA circle with a line straight through its centre from edge to edge, marking the diameter Wheel diameter.dₛmeasured acrossthe centreExample: 250 mmWheel diameter
What it is
The outside diameter of the grinding wheel as it is now. It sets the wheel surface speed and the contact length.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 2000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 250 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Wheel speed rises in proportion to diameter.
Get it right
Use the current diameter; as the wheel wears and is dressed, its surface speed at the same rpm falls.
What this means: Wheel speed
Illustration: Wheel speedA turning disc with a marker; Wheel speed is how many full turns it makes in each minute.turns of the shaftper minutenₛExample: 2600 rpmWheel speed
What it is
The rotational speed of the grinding spindle and wheel.
Units and format
Enter a number in rpm: revolutions per minute. The form accepts 0.000001 rpm to 100000 rpm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2600 rpm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Wheel surface speed rises in proportion.
What this means: Wheel maximum operating speed (marked)
Illustration: Wheel maximum operating speed (marked)A marker moving along a track; Wheel maximum operating speed (marked) is the distance it covers per unit of time.vdistance ÷ timeExample: 35 m/sWheel maximum operating speed (marked)
What it is
The highest surface speed the wheel is rated for, printed on the wheel or its label. The tool checks the calculated wheel speed against it.
Units and format
Enter a number in m/s: metres per second. The form accepts 0.000001 m/s to 200 m/s. Required: the tool does not calculate until every input is valid.
Example
The form opens with 35 m/s as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
If the wheel is marked only in rpm, compare the spindle speed with that marked rpm directly.
What this means: Table speed
Illustration: Table speedA marker moving along a track; Table speed is the distance it covers per unit of time.vwdistance ÷ timeExample: 15 m/minTable speed
What it is
The speed at which the table carries the work past the wheel.
Units and format
Enter a number in m/min: metres per minute. The form accepts 0.000001 m/min to 100 m/min. Required: the tool does not calculate until every input is valid.
Example
The form opens with 15 m/min as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Removal rate and power rise in proportion, and grinding time falls in proportion.
Get it right
m/min, not m/s; the tool converts it.
What this means: Depth per pass
Illustration: Depth per passA surface with a step cut into it and a dimension from the original surface down to the bottom of the step, marking Depth per pass.aₑoriginal surfaceExample: 0.01 mmDepth per pass
What it is
The down-feed of the wheel into the work for each pass: the depth of material removed per stroke.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 1 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.01 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Removal rate and power rise in proportion; fewer passes are needed.
Get it right
This is per pass, not the total stock to remove.
What this means: Width ground
Illustration: Width groundA bar with a dimension line and arrows from one end to the other, marking the length Width ground.bwExample: 40 mmWidth ground
What it is
The width of the surface being ground, covered by the wheel in each pass.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 2000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 40 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Removal rate and power rise in proportion.
What this means: Work length
Illustration: Work lengthA bar with a dimension line and arrows from one end to the other, marking the length Work length.LExample: 300 mmWork length
What it is
The length of the workpiece in the direction the table travels.
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 300 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Grinding time rises with the stroke length.
What this means: Overtravel each end
Illustration: Overtravel each endA bar with a dimension line and arrows from one end to the other, marking the length Overtravel each end.LExample: 25 mmOvertravel each end
What it is
The extra table travel beyond the work at each end so the wheel clears the part fully before reversing. The tool adds it twice per stroke.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 500 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 25 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Enter the overtravel at one end only.
What this means: Stock to remove
Illustration: Stock to removeA surface with a step cut into it and a dimension from the original surface down to the bottom of the step, marking Stock to remove.doriginal surfaceExample: 0.2 mmStock to remove
What it is
The total depth of material to grind off the surface, from the rough size to the finished size.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 20 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.2 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Spark-out passes
Illustration: Spark-out passesA row of identical items being counted; Spark-out passes is how many there are.nExample: 2Spark-out passes
What it is
The number of final passes made with no down-feed, letting the wheel finish out the deflection of the machine and work.
Units and format
Enter a plain number with no unit. The form accepts 0 to 50. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Specific grinding energy
Illustration: Specific grinding energyA store filling up with energy; Specific grinding energy is the total amount of work or heat involved.uExample: 30 J/mm³Specific grinding energy
What it is
The energy needed to remove one cubic millimetre of the material with this wheel and condition, from your tests or the wheel maker.
Units and format
Enter a number in J/mm³: J/mm³. The form accepts 0.000001 J/mm³ to 500 J/mm³. Required: the tool does not calculate until every input is valid.
Example
The form opens with 30 J/mm³ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Grinding power rises in proportion.
Get it right
Fine finishing cuts need much more energy per mm³ than roughing; use a value for the actual depth of cut.
What this means: Spindle motor power
Illustration: Spindle motor powerA motor driving a shaft; Spindle motor power is the rate at which it does work, energy per second.PExample: 5 kWSpindle motor power
What it is
The rated power of the motor driving the grinding spindle, from the machine data plate.
Units and format
Enter a number in kW: kilowatts. The form accepts 0.000001 kW to 10000 kW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 5 kW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Spindle efficiency
Illustration: Spindle efficiencyInput on the left and useful output on the right with the loss split off; Spindle efficiency is output divided by input.inputuseful outputlossηExample: 80%Spindle efficiency
What it is
The share of the spindle motor’s power that reaches the wheel after belt, bearing and motor losses.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 10% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 80% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Lower efficiency reduces the power available at the wheel.
Get it right
Type a percentage (80 for 80 %), not a fraction.

Method and formulas

  1. Wheel speed v_s = π d_s n_s ÷ 60 000; speed ratio = v_s ÷ v_w.
  2. Contact length l_g = √(a_e d_s) (as the grinding geometry tool); equivalent chip thickness h_eq = a_e v_w ÷ v_s.
  3. Removal rate Q = a_e b_w v_w; power = u Q.
  4. Passes = stock ÷ a_e (rounded up) + spark-out; time = passes × (L + 2 overtravel) ÷ v_w.
  5. Example: the wheel runs at 34.034 m/s; removing 100 mm³/s takes 3 kW and the job takes 0.51333 min.

Limitations

  • One stroke per pass (wheel at least as wide as the work); cross-fed grinding needs more strokes.
  • Specific energy varies strongly with wheel sharpness and depth of cut.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Plan a surface grinding operation
  • Check the spindle power for a deeper cut
  • Check a wheel speed against its marked maximum

Who it is for

  • Grinding machinists
  • Process planners
  • Manufacturing engineers

What you get

  • Wheel speed, speed ratio and contact length
  • Removal rate and grinding power
  • Passes and grinding time

Interpreting the result

  • Halving the depth per pass halves the power but doubles the passes; a faster table can keep the time down.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1199–1268. 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.

  • Method explained here · BIZOMAT original book

    Grinding on a magnetic chuck

    In Magnetic Workholding by the Numbers

    What it covers: Surface grinding forces against magnetic holding, why a bowed part ground flat on the chuck springs back, thermal bow from grinding heat, chuck heating, and measuring at the right temperature.

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Open the Surface Grinding Planner (Speeds, Removal Rate, Power and Time) calculator