This document presents a derivation of the speed of an employee for repetitive industrial work. It models the repetitive task as circular motion, with the angular rotation representing the speed of the employee and the circumference representing the length of the task. It derives an equation for the speed of the employee as a function of the number of times the subtask is done per unit time, the length of the task, and the scope of the task. The document notes that this is an idealized model and future work could make the parameters and relationships more realistic.

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DERIVATION OF AN EMPLOYEE SPEED FOR
REPETITIVE INDUSTRIAL WORK
CONFERENCE PAPER · DECEMBER 2015
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2 AUTHORS, INCLUDING:
Dinesh Bhagwan Hanchate
Vidya Pratishthan’s, College of Engineering, …
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Retrieved on: 01 January 2016

2. DERIVATION OF AN EMPLOYEE SPEED FOR REPETITIVE INDUSTRIAL WORK 1
Dinesh B. Hanchate and Swapnil G. Thaware
have presented this paper in
7th National Conference
on
Technology and Innovations in Math Education,
TIME-2015
of
India Institute of Technology, Bombay
held at
Vidyapratishthan’s College Of Engineering,
Baramati
during 4 -7 December, 2015.

3. Derivation of an Employee Speed for Repetitive
Industrial Work
Dinesh Bhagwan Hanchate and Swapnil Gangadhar Thaware
Dinesh Bhagwan Hanchate is with the Department of Computer Engineering, Vidya Pratishthans College Of Engg., Baramati-413133,
Pune, Maharashtra, INDIA, Phone: +91 992 225 4371,
e-mail: dinesh.hanchate@vpcoe.org
Swapnil Gangadhar Thaware, M.E. Comp. IInd year student (2015-16), Department of Computer Engineering, Vidya Pratishthans College
Of Engg., Baramati-413133, Pune, Maharashtra, INDIA, Phone: +91 758 805 7887
e-mail: swapnilthaware1992@gmail.com

4. 1
Derivation of an Employee Speed for Repetitive
Industrial Work
Dinesh Bhagwan Hanchate and Swapnil Gangadhar Thaware
Abstract
Productivity is though depending on the correctness and accuracy of work done by any employee but an employee’s speed
of working also plays an important role in the repetitive work for productivity of an employee. Any repetitive work is made of
cycle with some iterative steps or phases in every project cycle. Here, we have tried to relate task cycle rather than project cycle
with the angular rotation of the object with circular displacement. Angular rotation indicates speed of the employee with the
change in the sub steps of the repetitive task and displacement is analogous to the length of the repetitive task in the project.
We derived the relation between the speed of employee, length of the task, scope of the task and number times the work to be
done in one cycle of repetitive work.
Index Terms
Repetitive task, angular motion, speed of employee.
I. INTRODUCTION
Repetitive work in the industry is although easy task but it becomes handy and practicable after some time as the
time elapses in the project [RT06]. Repetitive task is cyclic graph where each node indicates subtask to be done.
Example of an angular motion is the speed of the employee with change in the defined subtask in one repetitive work
or task [Kay15].
II. Circumference and Length of the Task
As we know the length of circumference, C is given by
C = 2 × Π × r (1)
L = 2 × Π × S (2)
where r, L and S are respectively the radius of the circle, the length and scope of the task [HB14].
III. Angular Motion and Speed of an Employee
As we also know the angular motion ω is given by
ω = 2 × π × f (3)
where f is the frequency.
ψ = 2 × π × N (4)
where ψ and N are the speed of the employee in repeated work and number of times subtask done per unit time τ,
respectively.
From above all the four equations, we obtain speed of employee as
ψ =
N × L
S × τ
(5)
IV. CONCLUSION AND FUTURE WORK
The idea presented here is the only to show the short way of relation between the speed of employee and rotational
velocity. This is very idealistic model where we have considered everything is ideal for the derivation of the speed of an
employee. In practice, it is not easy to maintain the same speed, same frequency, same length of project and scope in
the project through out the project. Our future work will to put all these parameters in realistic situation and make the
relation with them. Change in the speed may give chance to have average speed of employee. Change in the frequency
also give the best case frequency of employee work. We can have also different phases with changes in the length and
scope of the task.
Dinesh Bhagwan Hanchate is with the Department of Computer Engineering, Vidya Pratishthans College Of Engg., Baramati-413133,
Pune, Maharashtra, INDIA, Phone: +91 992 225 4371,
e-mail: dinesh.hanchate@vpcoe.org
Swapnil Gangadhar Thaware, M.E. Comp. IInd year student (2015-16), Department of Computer Engineering, Vidya Pratishthans College
Of Engg., Baramati-413133, Pune, Maharashtra, INDIA, Phone: +91 758 805 7887
e-mail: swapnilthaware1992@gmail.com

5. 2
Fig. 1. The two circles shows the analogous way of representation of the derivation and derived formula of speed of employee, ψ. The idea
is to have relation between ideal employee for same frequency and speed.
Fig. 2. Repetitive task reduces the time taken to complete the task after some duration and so the length of task required is also decreased
and after some time on an average the speed of employee for that particular task remain constant.

6. D. B. Hanchate: DERIVATION OF AN EMPLOYEE SPEED FOR REPETITIVE INDUSTRIAL WORK 3
References
[HB14] Dinesh B. Hanchate and Rajankumar S. Bichkar, Article: Software project contacts by grga scheduling and evm, International
Journal of Computer Applications 97 (2014), no. 13, 1–26, Full text available.
[Kay15] Gene Kay, Office ergonomics roi, 6 essentials for large employer, Ergoweb, 2015, ”https://ergoweb.com/knowledge/ergonomics-
101/concepts/”.
[RT06] A.M.A.S.P.N.A.C.C.O.N. Roelien Theron, Industrial psychology, Fresh perspectives, Pearson Education, 2006.