Traverse Speed for Cylindrical and Internal Grinder given MRR Solution

STEP 0: Pre-Calculation Summary
Formula Used
Traverse Speed of Work-table = pi*Feed Rate*Work Surface Diameter/Metal removal rate
Vtrav = pi*f*Dw/Zw
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Traverse Speed of Work-table - (Measured in Meter per Second) - Traverse Speed of Work-table can be referred as the speed of work-table which is in the opposite direction of work piece.
Feed Rate - (Measured in Meter Per Revolution) - Feed Rate is defined as the tool's distance travelled during one spindle revolution.
Work Surface Diameter - (Measured in Meter) - Work Surface Diameter is the diameter of a cylindrical Job or Workpiece before the Machining operation has been done on it.
Metal removal rate - (Measured in Cubic Meter per Second) - Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as grinding.
STEP 1: Convert Input(s) to Base Unit
Feed Rate: 0.7 Meter Per Revolution --> 0.7 Meter Per Revolution No Conversion Required
Work Surface Diameter: 4.614356 Millimeter --> 0.004614356 Meter (Check conversion here)
Metal removal rate: 0.00375 Cubic Meter per Second --> 0.00375 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vtrav = pi*f*Dw/Zw --> pi*0.7*0.004614356/0.00375
Evaluating ... ...
Vtrav = 2.70599968998762
STEP 3: Convert Result to Output's Unit
2.70599968998762 Meter per Second --> No Conversion Required
FINAL ANSWER
2.70599968998762 2.706 Meter per Second <-- Traverse Speed of Work-table
(Calculation completed in 00.004 seconds)

Credits

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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13 Grain Calculators

Number of active Grains per unit area given Constant for grinding wheel
Go Number of Active Grains per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain aspect ratio*sqrt(Diameter of Grinding Wheel))
Grain-aspect Ratio given Constant for grinding wheel
Go Grain aspect ratio = 6/(Number of Active Grains per Area on Wheel Surface*Constant for Particular Grinding Wheel*sqrt(Diameter of Grinding Wheel))
Infeed given constant for grinding wheel
Go Feed = ((Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Constant for Particular Grinding Wheel*Surface Speed of Workpiece))^2
Material Removal Rate in Plunge-Grinder
Go Maximum Material Removal Rate = pi*Back Engagement*Machined Surface Diameter*Feed Speed in Plunge Grinding
Material Removal Rate in Cylindrical and Internal Grinder
Go Maximum Material Removal Rate = pi*Feed Rate of the Machine Table*Diameter of Work Surface*Traverse Speed
Number of active Grains per unit area on wheel surface
Go Number of Active Grains per Area on Wheel Surface = Number of Chip Produced per Unit Time/(Surface Speed of Wheel*Back Engagement)
Traverse Speed for Cylindrical and Internal Grinder given MRR
Go Traverse Speed of Work-table = pi*Feed Rate*Work Surface Diameter/Metal removal rate
Width of Grinding path given Metal removal rate
Go Back Engagement = Metal removal rate/(Infeed in Grinding Operation*Surface Speed of Workpiece)
Metal removal rate during Grinding
Go Metal removal rate = Infeed in Grinding Operation*Back Engagement*Surface Speed of Workpiece
Infeed given Metal removal rate during Grinding
Go Infeed = Metal removal rate/(Back Engagement in Grinding*Surface Speed of Workpiece)
Traverse Speed in Horizontal and Vertical Spindle Surface-Grinder given MRR
Go Traverse Speed of Work-table = Feed Rate*Depth of Cut/Metal removal rate
Material Removal Rate in Horizontal and Vertical Spindle Surface-Grinder
Go Material Removal Rate = Cross Feed*Back Engagement*Traverse Speed
Grain-aspect Ratio
Go Grain aspect ratio = Maximum Width of Chip/Maximum Undeformed Chip Thickness

Traverse Speed for Cylindrical and Internal Grinder given MRR Formula

Traverse Speed of Work-table = pi*Feed Rate*Work Surface Diameter/Metal removal rate
Vtrav = pi*f*Dw/Zw

Conical Grinding

Conical Grinding is performed in the same manner as plain cylindrical grinding. Once the grinding machine is setup, the table is swiveled until the correct taper per inch is obtained. In this Grinding Operation, the axis of the grinding wheel is at center height with the axis of the work.

How to Calculate Traverse Speed for Cylindrical and Internal Grinder given MRR?

Traverse Speed for Cylindrical and Internal Grinder given MRR calculator uses Traverse Speed of Work-table = pi*Feed Rate*Work Surface Diameter/Metal removal rate to calculate the Traverse Speed of Work-table, Traverse Speed for Cylindrical and Internal Grinder given MRR, is a method to determine the fastest possible movement of the machine’s motion control when the amount of required MRR is fixed. Traverse Speed of Work-table is denoted by Vtrav symbol.

How to calculate Traverse Speed for Cylindrical and Internal Grinder given MRR using this online calculator? To use this online calculator for Traverse Speed for Cylindrical and Internal Grinder given MRR, enter Feed Rate (f), Work Surface Diameter (Dw) & Metal removal rate (Zw) and hit the calculate button. Here is how the Traverse Speed for Cylindrical and Internal Grinder given MRR calculation can be explained with given input values -> 2.706 = pi*0.7*0.004614356/0.00375.

FAQ

What is Traverse Speed for Cylindrical and Internal Grinder given MRR?
Traverse Speed for Cylindrical and Internal Grinder given MRR, is a method to determine the fastest possible movement of the machine’s motion control when the amount of required MRR is fixed and is represented as Vtrav = pi*f*Dw/Zw or Traverse Speed of Work-table = pi*Feed Rate*Work Surface Diameter/Metal removal rate. Feed Rate is defined as the tool's distance travelled during one spindle revolution, Work Surface Diameter is the diameter of a cylindrical Job or Workpiece before the Machining operation has been done on it & Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as grinding.
How to calculate Traverse Speed for Cylindrical and Internal Grinder given MRR?
Traverse Speed for Cylindrical and Internal Grinder given MRR, is a method to determine the fastest possible movement of the machine’s motion control when the amount of required MRR is fixed is calculated using Traverse Speed of Work-table = pi*Feed Rate*Work Surface Diameter/Metal removal rate. To calculate Traverse Speed for Cylindrical and Internal Grinder given MRR, you need Feed Rate (f), Work Surface Diameter (Dw) & Metal removal rate (Zw). With our tool, you need to enter the respective value for Feed Rate, Work Surface Diameter & Metal removal rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Traverse Speed of Work-table?
In this formula, Traverse Speed of Work-table uses Feed Rate, Work Surface Diameter & Metal removal rate. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Traverse Speed of Work-table = Feed Rate*Depth of Cut/Metal removal rate
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