Maximum Production Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Production Rate = Cost of metal cutting/(((1/Number of Rotations-1)*Tool Changing Time)^Number of Rotations)
PRmaximum = C/(((1/NOR-1)*TCT)^NOR)
This formula uses 4 Variables
Variables Used
Maximum Production Rate - Maximum Production Rate is the profitable rate in which product must be defined as per economy of machining.
Cost of metal cutting - Cost of metal cutting indicates the price associated with the making of the product.
Number of Rotations - Number of Rotations refers to the number of times the machine rotated about a fixed point.
Tool Changing Time - (Measured in Second) - Tool Changing Time is the average time required by the operator or automation system (such as automatic tool changer – ATC) to change the tool.
STEP 1: Convert Input(s) to Base Unit
Cost of metal cutting: 1000 --> No Conversion Required
Number of Rotations: 2 --> No Conversion Required
Tool Changing Time: 1.7 Second --> 1.7 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PRmaximum = C/(((1/NOR-1)*TCT)^NOR) --> 1000/(((1/2-1)*1.7)^2)
Evaluating ... ...
PRmaximum = 1384.0830449827
STEP 3: Convert Result to Output's Unit
1384.0830449827 --> No Conversion Required
FINAL ANSWER
1384.0830449827 1384.083 <-- Maximum Production Rate
(Calculation completed in 00.004 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 300+ more calculators!
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20 Metal Cutting Calculators

Total Minimum Cost
Go Total Minimum Cost = (Minimum Cost/((Tool Cost/Machine Cost+Tool Changing Time)*(1/Number of Rotation-1))^Number of Rotation)
Shear Plane Angle
Go Shear Angle Metal = arctan((Chip Ratio*cos(Rake Angle))/(1-Chip Ratio*sin(Rake Angle)))
Shear Angle
Go Shear Angle Metal = atan(Width*cos(Theta)/(1-Width*sin(Theta)))
Normal Force
Go Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta)
Shear Force
Go Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta)
Maximum Production Rate
Go Maximum Production Rate = Cost of metal cutting/(((1/Number of Rotations-1)*Tool Changing Time)^Number of Rotations)
Shear Strain in Machining
Go Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane)
Shear Strain
Go Shear Strain = tan(Shear Angle Metal)+cot(Shear Angle Metal-Rake Angle)
Bend Allowance
Go Bend Allowance = Subtended Angle in Radians*(Radius+Stretch Factor*Bar Thickness of metal)
Volumetric Removal Rate in electrochemical machining
Go Volumetric Removal Rate = Atomic Weight*Current Value/(Material Density*Valency*96500)
Electro Discharge Machining
Go Electro Discharge Machining = Voltage*(1-e^(-Time/(Resistance*Capacitance)))
Peak to Valley Height
Go Height = Feed/(tan(Angle A)+cot(Angle B))
Extrusion and Wire Drawing
Go Extrusion and Wire Drawing = Stretch factor in Drawing operation*ln(Ratio of Area)
Sheer Yield Strength
Go Shear Yield Strength = Width*Feed*cosec(Shear Angle)
Mass Removal Rate
Go Mass Removal Rate = Weight*Current Magnitude/(Valency*96500)
Specific Power Consumption
Go Specific Power Consumption = Force/(Width*Feed)
Cutting Speed given Angular Speed
Go Cutting Speed = pi*Diameter*Angular Speed
Shear Strain given Tangential Displacement and Original Length
Go Shear Strain = Tangential Displacement/Initial Length
Maximum Profit Rate
Go Maximum Profit Rate = 1/(Feed*Rotation Speed)
Peak to Valley Height given Feed and Radius
Go Peak to Valley Height = (Feed^2)/8*Radius

Maximum Production Rate Formula

Maximum Production Rate = Cost of metal cutting/(((1/Number of Rotations-1)*Tool Changing Time)^Number of Rotations)
PRmaximum = C/(((1/NOR-1)*TCT)^NOR)

What are the factors effecting the cost of production?

K1 = Cost-time conversion factor for machining
K2 = Cost-time conversion factor for tool sharpening or price of new tool.

How to Calculate Maximum Production Rate?

Maximum Production Rate calculator uses Maximum Production Rate = Cost of metal cutting/(((1/Number of Rotations-1)*Tool Changing Time)^Number of Rotations) to calculate the Maximum Production Rate, Maximum Production Rate is the rate at which production is considered as profitable as per the economy of machining. Maximum Production Rate is denoted by PRmaximum symbol.

How to calculate Maximum Production Rate using this online calculator? To use this online calculator for Maximum Production Rate, enter Cost of metal cutting (C), Number of Rotations (NOR) & Tool Changing Time (TCT) and hit the calculate button. Here is how the Maximum Production Rate calculation can be explained with given input values -> 59.4884 = 1000/(((1/2-1)*1.7)^2).

FAQ

What is Maximum Production Rate?
Maximum Production Rate is the rate at which production is considered as profitable as per the economy of machining and is represented as PRmaximum = C/(((1/NOR-1)*TCT)^NOR) or Maximum Production Rate = Cost of metal cutting/(((1/Number of Rotations-1)*Tool Changing Time)^Number of Rotations). Cost of metal cutting indicates the price associated with the making of the product, Number of Rotations refers to the number of times the machine rotated about a fixed point & Tool Changing Time is the average time required by the operator or automation system (such as automatic tool changer – ATC) to change the tool.
How to calculate Maximum Production Rate?
Maximum Production Rate is the rate at which production is considered as profitable as per the economy of machining is calculated using Maximum Production Rate = Cost of metal cutting/(((1/Number of Rotations-1)*Tool Changing Time)^Number of Rotations). To calculate Maximum Production Rate, you need Cost of metal cutting (C), Number of Rotations (NOR) & Tool Changing Time (TCT). With our tool, you need to enter the respective value for Cost of metal cutting, Number of Rotations & Tool Changing Time 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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