Width of cut given Metal removal rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Grinding Path = Metal removal rate/(Feed Speed*pi*Diameter of Workpiece)
ap = Zw/(Vf*pi*dworkpiece)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Width of Grinding Path - (Measured in Meter) - Width of grinding path is defined as the width of the path of the grinding tool.
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 using a lathe or milling machine.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
STEP 1: Convert Input(s) to Base Unit
Metal removal rate: 0.16 Cubic Meter per Second --> 0.16 Cubic Meter per Second No Conversion Required
Feed Speed: 3.5 Millimeter per Second --> 0.0035 Meter per Second (Check conversion here)
Diameter of Workpiece: 76.2 Millimeter --> 0.0762 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ap = Zw/(Vf*pi*dworkpiece) --> 0.16/(0.0035*pi*0.0762)
Evaluating ... ...
ap = 190.962061452593
STEP 3: Convert Result to Output's Unit
190.962061452593 Meter -->190962.061452593 Millimeter (Check conversion here)
FINAL ANSWER
190962.061452593 190962.1 Millimeter <-- Width of Grinding Path
(Calculation completed in 00.020 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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19 Removal Parameters 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)))
Workpiece removal parameter given feed and machine infeed speed
Go Workpiece removal parameter = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*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)))
Wheel removal parameter given feed and machine infeed speed
Go Wheel Removal Parameter = Workpiece removal parameter*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/Diameter of Workpiece
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
Threshold thrust force given workpiece removal parameter
Go Threshold Thrust Force = Thrust Force-(Metal removal rate/Workpiece removal parameter)
Metal removal rate given workpiece removal parameter
Go Metal removal rate = (Thrust Force-Threshold Thrust Force)*Workpiece removal parameter
Workpiece removal parameter given metal removal rate
Go Workpiece removal parameter = Metal removal rate/(Thrust Force-Threshold Thrust Force)
Thrust force given workpiece removal parameter
Go Thrust Force = (Metal removal rate/Workpiece removal parameter)+Threshold Thrust Force
Wheel removal rate given Wheel removal parameter
Go Wheel Removal Rate = Wheel Removal Parameter*(Thrust Force-Threshold Thrust Force)
Wheel removal parameter given wheel removal rate
Go Wheel Removal Parameter = Wheel Removal Rate/(Thrust Force-Threshold Thrust Force)
Time taken for spark-out operation
Go Time taken for spark-out operation = Number of Workpiece revolution/Rotational Frequency
Relative contact area of grains given Total Energy flowing into workpiece
Go Relative Contact Area of Grain = ((Proportion of total energy flowing into workpiece/100)-0.6)/0.05
Workpiece removal parameter given Grinding ratio
Go Workpiece removal parameter = Grinding Ratio*Wheel Removal Parameter
Wheel removal parameter given Grinding ratio
Go Wheel Removal Parameter = Workpiece removal parameter/Grinding Ratio
Grinding ratio
Go Grinding Ratio = Workpiece removal parameter/Wheel Removal Parameter
Grain size given grain Diameter
Go Grain size (in mm) = 0.0254/Grain diameter of the grinding wheel

Width of cut given Metal removal rate Formula

Width of Grinding Path = Metal removal rate/(Feed Speed*pi*Diameter of Workpiece)
ap = Zw/(Vf*pi*dworkpiece)

What are the 7 basic types of machines?

They retain the basic characteristics of their 19th- and early 20th-century ancestors and are still classed as one of the following:
(1) turning machines (lathes and boring mills),
(2) shapers and planers,
(3) drilling machines,
(4) milling machines,
(5) grinding machines,
(6) power saws, and
(7) presses.

How to Calculate Width of cut given Metal removal rate?

Width of cut given Metal removal rate calculator uses Width of Grinding Path = Metal removal rate/(Feed Speed*pi*Diameter of Workpiece) to calculate the Width of Grinding Path, The Width of cut given Metal removal rate is defined as the width of the path of the grinding tool. Width of Grinding Path is denoted by ap symbol.

How to calculate Width of cut given Metal removal rate using this online calculator? To use this online calculator for Width of cut given Metal removal rate, enter Metal removal rate (Zw), Feed Speed (Vf) & Diameter of Workpiece (dworkpiece) and hit the calculate button. Here is how the Width of cut given Metal removal rate calculation can be explained with given input values -> 1.9E+8 = 0.16/(0.0035*pi*0.0762).

FAQ

What is Width of cut given Metal removal rate?
The Width of cut given Metal removal rate is defined as the width of the path of the grinding tool and is represented as ap = Zw/(Vf*pi*dworkpiece) or Width of Grinding Path = Metal removal rate/(Feed Speed*pi*Diameter of Workpiece). Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine, Feed Speed is the Feed given against a workpiece per unit time & The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
How to calculate Width of cut given Metal removal rate?
The Width of cut given Metal removal rate is defined as the width of the path of the grinding tool is calculated using Width of Grinding Path = Metal removal rate/(Feed Speed*pi*Diameter of Workpiece). To calculate Width of cut given Metal removal rate, you need Metal removal rate (Zw), Feed Speed (Vf) & Diameter of Workpiece (dworkpiece). With our tool, you need to enter the respective value for Metal removal rate, Feed Speed & Diameter of Workpiece and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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