Rotational frequency of workpiece given Number of workpiece revolution Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rotational Frequency = Number of Workpiece revolution/Time taken for spark-out operation
νrot = m/ts
This formula uses 3 Variables
Variables Used
Rotational Frequency - (Measured in Hertz) - Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.
Number of Workpiece revolution - The Number of Workpiece revolution is defined as the number of revolutions did workpiece take to complete the grinding.
Time taken for spark-out operation - (Measured in Second) - Time taken for spark-out operation is defined as the total amount of time taken during the spark out operation.
STEP 1: Convert Input(s) to Base Unit
Number of Workpiece revolution: 5 --> No Conversion Required
Time taken for spark-out operation: 2.5 Minute --> 150 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
νrot = m/ts --> 5/150
Evaluating ... ...
νrot = 0.0333333333333333
STEP 3: Convert Result to Output's Unit
0.0333333333333333 Hertz --> No Conversion Required
FINAL ANSWER
0.0333333333333333 0.033333 Hertz <-- Rotational Frequency
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Verified by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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17 Cylindrical Grinding cycle Calculators

Rockwell hardness number of work material from Lindsay semiempirical analysis
Go Rockwell Hardness number = ((7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Wheel Removal Parameter))^(100/142)
Percentage Volume of Bond material from Lindsay's semiempirical analysis
Go Percentage Volume of Bond Material in Grinding = ((7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Wheel Removal Parameter*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42))^(100/47)
Equivalent wheel diameter from Lindsay's semiempirical analysis
Go Equivalent Wheel Diameter = ((7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Wheel Removal Parameter*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42))^(100/14)
Grain diameter from Lindsay's semiempirical analysis
Go Grain diameter of the grinding wheel = ((7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Wheel Removal Parameter*Rockwell Hardness number^1.42))^(100/13)
Depth of dress from Lindsay semiempirical analysis
Go Depth of Dress = (((Wheel Removal Parameter*Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42)/(7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*Feed^0.58*Surface Speed of Wheel))-1)*3*Feed/4
Width of Grinding path given number of workpiece revolutions
Go Width of Grinding Path = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Surface Speed of Workpiece)
System stiffness given Number of workpiece revolution
Go Effective stiffness = 2*Surface Speed of Workpiece*Width of Grinding Path/(Workpiece removal parameter*Number of Workpiece revolution)
Number of workpiece revolution
Go Number of Workpiece revolution = 2*Surface Speed of Workpiece*Width of Grinding Path/(Workpiece removal parameter*Effective stiffness)
Equivalent wheel diameter
Go Equivalent Wheel Diameter = Diameter of Grinding Tool Wheel/(1+(Diameter of Grinding Tool Wheel/Diameter of Workpiece))
Percentage Volume of Bond material in wheel of grinding
Go Percentage Volume of Bond Material in Grinding = (1.33*Wheel hardness number)+(2.2*Wheel structure number)-8
Number of workpiece revolutions given Time taken for spark out operation
Go Number of Workpiece revolution = Time taken for spark-out operation*Rotational Frequency
Rotational frequency of workpiece given Number of workpiece revolution
Go Rotational Frequency = Number of Workpiece revolution/Time taken for spark-out operation
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
Proportion of Total Energy flowing into workpiece
Go Proportion of total energy flowing into workpiece = (0.6+0.05*Relative Contact Area of Grain)*100
Grain Diameter of grinding wheel
Go Grain diameter of the grinding wheel = 0.0254/Grain size (in mm)
Grain size given grain Diameter
Go Grain size (in mm) = 0.0254/Grain diameter of the grinding wheel

Rotational frequency of workpiece given Number of workpiece revolution Formula

Rotational Frequency = Number of Workpiece revolution/Time taken for spark-out operation
νrot = m/ts

What is the difference between angular frequency and frequency?

Angular frequency ω (in radians per second), is larger than frequency ν (in cycles per second, also called Hz), by a factor of 2π. This figure uses the symbol ν, rather than f to denote frequency. A sphere rotating around an axis. Points farther from the axis move faster, satisfying ω=v/r.

How to Calculate Rotational frequency of workpiece given Number of workpiece revolution?

Rotational frequency of workpiece given Number of workpiece revolution calculator uses Rotational Frequency = Number of Workpiece revolution/Time taken for spark-out operation to calculate the Rotational Frequency, The Rotational frequency of workpiece given Number of workpiece revolution is the number of rotations of workpiece per unit time. Rotational Frequency is denoted by νrot symbol.

How to calculate Rotational frequency of workpiece given Number of workpiece revolution using this online calculator? To use this online calculator for Rotational frequency of workpiece given Number of workpiece revolution, enter Number of Workpiece revolution (m) & Time taken for spark-out operation (ts) and hit the calculate button. Here is how the Rotational frequency of workpiece given Number of workpiece revolution calculation can be explained with given input values -> 0.033333 = 5/150.

FAQ

What is Rotational frequency of workpiece given Number of workpiece revolution?
The Rotational frequency of workpiece given Number of workpiece revolution is the number of rotations of workpiece per unit time and is represented as νrot = m/ts or Rotational Frequency = Number of Workpiece revolution/Time taken for spark-out operation. The Number of Workpiece revolution is defined as the number of revolutions did workpiece take to complete the grinding & Time taken for spark-out operation is defined as the total amount of time taken during the spark out operation.
How to calculate Rotational frequency of workpiece given Number of workpiece revolution?
The Rotational frequency of workpiece given Number of workpiece revolution is the number of rotations of workpiece per unit time is calculated using Rotational Frequency = Number of Workpiece revolution/Time taken for spark-out operation. To calculate Rotational frequency of workpiece given Number of workpiece revolution, you need Number of Workpiece revolution (m) & Time taken for spark-out operation (ts). With our tool, you need to enter the respective value for Number of Workpiece revolution & Time taken for spark-out operation 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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