Diameter of wheel given feed and machine infeed speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Workpiece removal parameter)
dt = Λt*dworkpiece/(((vi/Vf)-1)*ΛW)
This formula uses 6 Variables
Variables Used
Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.
Wheel Removal Parameter - The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
Machine Infeed speed - (Measured in Meter per Second) - Machine Infeed speed is the speed at which the wheel is moving towards the workpiece.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Workpiece removal parameter - Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.
STEP 1: Convert Input(s) to Base Unit
Wheel Removal Parameter: 2.4 --> No Conversion Required
Diameter of Workpiece: 76.2 Millimeter --> 0.0762 Meter (Check conversion here)
Machine Infeed speed: 33 Millimeter per Second --> 0.033 Meter per Second (Check conversion here)
Feed Speed: 3.5 Millimeter per Second --> 0.0035 Meter per Second (Check conversion here)
Workpiece removal parameter: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dt = Λt*dworkpiece/(((vi/Vf)-1)*ΛW) --> 2.4*0.0762/(((0.033/0.0035)-1)*10)
Evaluating ... ...
dt = 0.00216976271186441
STEP 3: Convert Result to Output's Unit
0.00216976271186441 Meter -->2.16976271186441 Millimeter (Check conversion here)
FINAL ANSWER
2.16976271186441 2.169763 Millimeter <-- Diameter of Grinding Tool Wheel
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology (NIT), Srinagar
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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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14 Analysis of Grinding Process Calculators

Machine infeed speed given workpiece and wheel removal parameter
Go Machine Infeed speed = Feed Speed*(1+(Wheel Removal Parameter*Diameter of Workpiece/(Workpiece removal parameter*Diameter of Grinding Tool Wheel)))
Feed speed given workpiece and wheel removal parameter
Go Feed Speed = Machine Infeed speed/(1+(Wheel Removal Parameter*Diameter of Workpiece/(Workpiece removal parameter*Diameter of Grinding Tool Wheel)))
Diameter of wheel given feed and machine infeed speed
Go Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Workpiece removal parameter)
Diameter of workpiece given feed and machine infeed speed
Go Diameter of Workpiece = Workpiece removal parameter*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/Wheel Removal Parameter
Diameter of workpiece given Metal removal rate
Go Diameter of Workpiece = Metal removal rate/(Feed Speed*pi*Width of Grinding Path)
Width of cut given Metal removal rate
Go Width of Grinding Path = Metal removal rate/(Feed Speed*pi*Diameter of Workpiece)
Feed speed given Metal removal rate
Go Feed Speed = Metal removal rate/(pi*Diameter of Workpiece*Width of Grinding Path)
Metal removal rate given Diameter of workpiece
Go Metal removal rate = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed
Metal removal rate given workpiece removal parameter
Go Metal removal rate = (Thrust Force-Threshold Thrust Force)*Workpiece removal parameter
Wheel removal rate given Wheel removal parameter
Go Wheel Removal Rate = Wheel Removal Parameter*(Thrust Force-Threshold Thrust Force)
Machine infeed speed given Feed speed in Grinding
Go Machine Infeed speed = Feed Speed+(Diameter of Grinding Tool Wheel/2)
Diameter of wheel given Feed speed in Grinding
Go Diameter of Grinding Tool Wheel = 2*(Machine Infeed speed-Feed Speed)
Feed speed in Grinding
Go Feed Speed = Machine Infeed speed-(Diameter of Grinding Tool Wheel/2)
Grinding ratio
Go Grinding Ratio = Workpiece removal parameter/Wheel Removal Parameter

Diameter of wheel given feed and machine infeed speed Formula

Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Workpiece removal parameter)
dt = Λt*dworkpiece/(((vi/Vf)-1)*ΛW)

What is the difference between cutting wheel and grinding wheel?

Cutting-off wheels are thin by design and do not have adequate lateral strength for side grinding. The fiberglass reinforcement is in the wheel to add strength. Regardless of what type of grinding wheel you are using, grinding must only be performed on the surface of the wheel for which it is designed.

How to Calculate Diameter of wheel given feed and machine infeed speed?

Diameter of wheel given feed and machine infeed speed calculator uses Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Workpiece removal parameter) to calculate the Diameter of Grinding Tool Wheel, The Diameter of wheel given feed and machine infeed speed is the diameter of the wheel used for the grinding. Diameter of Grinding Tool Wheel is denoted by dt symbol.

How to calculate Diameter of wheel given feed and machine infeed speed using this online calculator? To use this online calculator for Diameter of wheel given feed and machine infeed speed, enter Wheel Removal Parameter t), Diameter of Workpiece (dworkpiece), Machine Infeed speed (vi), Feed Speed (Vf) & Workpiece removal parameter W) and hit the calculate button. Here is how the Diameter of wheel given feed and machine infeed speed calculation can be explained with given input values -> 2169.763 = 2.4*0.0762/(((0.033/0.0035)-1)*10).

FAQ

What is Diameter of wheel given feed and machine infeed speed?
The Diameter of wheel given feed and machine infeed speed is the diameter of the wheel used for the grinding and is represented as dt = Λt*dworkpiece/(((vi/Vf)-1)*ΛW) or Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Workpiece removal parameter). The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force, The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding, Machine Infeed speed is the speed at which the wheel is moving towards the workpiece, Feed Speed is the Feed given against a workpiece per unit time & Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.
How to calculate Diameter of wheel given feed and machine infeed speed?
The Diameter of wheel given feed and machine infeed speed is the diameter of the wheel used for the grinding is calculated using Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Workpiece removal parameter). To calculate Diameter of wheel given feed and machine infeed speed, you need Wheel Removal Parameter t), Diameter of Workpiece (dworkpiece), Machine Infeed speed (vi), Feed Speed (Vf) & Workpiece removal parameter W). With our tool, you need to enter the respective value for Wheel Removal Parameter, Diameter of Workpiece, Machine Infeed speed, Feed Speed & Workpiece removal parameter 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 Diameter of Grinding Tool Wheel?
In this formula, Diameter of Grinding Tool Wheel uses Wheel Removal Parameter, Diameter of Workpiece, Machine Infeed speed, Feed Speed & Workpiece removal parameter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Grinding Tool Wheel = 2*(Machine Infeed speed-Feed Speed)
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