Machining Time given Cutting Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Machining Time = (pi*Workpiece Diameter*Length Of Bar)/(Feed Rate*Cutting Velocity)
tm = (pi*D*L)/(f*V)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Machining Time - (Measured in Second) - Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.
Workpiece Diameter - (Measured in Meter) - Workpiece Diameter is the width of workpiece used in machining.
Length Of Bar - (Measured in Meter) - Length Of Bar is the measurement or extent of something from end to end.
Feed Rate - (Measured in Meter Per Revolution) - Feed Rate is defined as the tool's distance travelled during one spindle revolution.
Cutting Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
STEP 1: Convert Input(s) to Base Unit
Workpiece Diameter: 0.01014 Meter --> 0.01014 Meter No Conversion Required
Length Of Bar: 3 Meter --> 3 Meter No Conversion Required
Feed Rate: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion here)
Cutting Velocity: 120 Meter per Minute --> 2 Meter per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tm = (pi*D*L)/(f*V) --> (pi*0.01014*3)/(0.0007*2)
Evaluating ... ...
tm = 68.2623203730011
STEP 3: Convert Result to Output's Unit
68.2623203730011 Second --> No Conversion Required
FINAL ANSWER
68.2623203730011 68.26232 Second <-- Machining Time
(Calculation completed in 00.020 seconds)

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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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10+ Mechanics of Orthogonal Cutting Calculators

Thermal Conductivity of Work from Tool Temperature
Go Thermal Conductivity = ((Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44*Cutting Area^0.22)/(Tool Temperature*Specific Heat Capacity^0.56))^(100/44)
Specific Heat of Work from Tool Temperature
Go Specific Heat Capacity = ((Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44*Cutting Area^0.22)/(Tool Temperature*Thermal Conductivity^0.44))^(100/56)
Cutting Speed from Tool Temperature
Go Cutting Velocity = ((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Area^0.22))^(100/44)
Area of Cut from Tool Temperature
Go Cutting Area = ((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44))^(100/22)
Specific Cutting Energy Per Unit Cutting Force from Tool Temperature
Go Specific Cutting Energy = (Tool Temperature*Specific Heat Capacity^0.56*Thermal Conductivity^0.44)/(Tool Temperature Constant*Cutting Velocity^0.44*Cutting Area^0.22)
Machining Time given Cutting Speed
Go Machining Time = (pi*Workpiece Diameter*Length Of Bar)/(Feed Rate*Cutting Velocity)
Machining Time given Spindle Speed
Go Machining Time = Length Of Bar/(Feed Rate*Spindle Speed)
Cutting Speed given Spindle Speed
Go Cutting Velocity = pi*Workpiece Diameter*Spindle Speed
Nose Radius of Tool from Surface Finish Constraint
Go Nose Radius = 0.0321/Constraint on Feed
Surface Finish Constraint
Go Constraint on Feed = 0.0321/Nose Radius

Machining Time given Cutting Speed Formula

Machining Time = (pi*Workpiece Diameter*Length Of Bar)/(Feed Rate*Cutting Velocity)
tm = (pi*D*L)/(f*V)


What are the various cost associated with machining ?

The various costs associated with machining process are:
(i) the manpower cost, Cl which is measured in per unit time, generally hours that operator is employed
(ii) the machine tool operating (overhead) cost, Cm which includes machine depreciation, and other costs associated with the running of the machine tool such as power con summed, maintenance overheads, consumables such as oils, etc. This may also include the other overhead costs, which takes care of all the fixed overheads such as buildings, land and administrative overheads.
(iii) the job handling cost, which arises because of the time spent in loading and unloading of the job, during which time the machine tool is kept idle, and also requires the operator to attend to the job. It is also possible that some special equipment such as crane, etc. may be used for heavy jobs.
(iv) the tool cost, Ct which is the cost of the cutting tool for the given operation.

How to Calculate Machining Time given Cutting Speed?

Machining Time given Cutting Speed calculator uses Machining Time = (pi*Workpiece Diameter*Length Of Bar)/(Feed Rate*Cutting Velocity) to calculate the Machining Time, Machining Time given Cutting Speed is defined as the time required to complete a particular machining operation. Machining Time is denoted by tm symbol.

How to calculate Machining Time given Cutting Speed using this online calculator? To use this online calculator for Machining Time given Cutting Speed, enter Workpiece Diameter (D), Length Of Bar (L), Feed Rate (f) & Cutting Velocity (V) and hit the calculate button. Here is how the Machining Time given Cutting Speed calculation can be explained with given input values -> 68.26232 = (pi*0.01014*3)/(0.0007*2).

FAQ

What is Machining Time given Cutting Speed?
Machining Time given Cutting Speed is defined as the time required to complete a particular machining operation and is represented as tm = (pi*D*L)/(f*V) or Machining Time = (pi*Workpiece Diameter*Length Of Bar)/(Feed Rate*Cutting Velocity). Workpiece Diameter is the width of workpiece used in machining, Length Of Bar is the measurement or extent of something from end to end, Feed Rate is defined as the tool's distance travelled during one spindle revolution & The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
How to calculate Machining Time given Cutting Speed?
Machining Time given Cutting Speed is defined as the time required to complete a particular machining operation is calculated using Machining Time = (pi*Workpiece Diameter*Length Of Bar)/(Feed Rate*Cutting Velocity). To calculate Machining Time given Cutting Speed, you need Workpiece Diameter (D), Length Of Bar (L), Feed Rate (f) & Cutting Velocity (V). With our tool, you need to enter the respective value for Workpiece Diameter, Length Of Bar, Feed Rate & Cutting Velocity 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 Machining Time?
In this formula, Machining Time uses Workpiece Diameter, Length Of Bar, Feed Rate & Cutting Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Machining Time = Length Of Bar/(Feed Rate*Spindle Speed)
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