# The acceleration of a geared system Essay

803 Words May 2nd, 2004 7 Pages
APPLIED MECHANICS LABORATORY REPORT

Title: The acceleration of a geared system

Aim: To support the theory on the prediction of the motion of rotors connected by gears.

Object:

The main object of the experiment is:

To investigate the theory on the prediction of the motion of rotors connected by the gears.

By the falling weight method to evaluate the inertia on each shaft.

Determine the equivalent inertia of the system at the first shaft, by the falling weight method.

Test rig figure:

The number of teeth on each gear:

N =90, N =30, N =90, N =90

Theory:

In order to evaluate the equivalent inertia on each shaft by the "Falling Weight" method.

The free body diagrams reveal:

P*R=I*a+Tf

Should be a straight line graph of P*R
15 14.06 0.0101 14.984 0.4645 0.3258

17 12.68 0.0124 16.979 0.5263 0.4

Error Analysis:

We can spot some errors that have been occurred during the whole procedure of the experiment and affected the accuracy of the results:

The length was measured 1m, each time then we have error of:

δL*100=0.001*100= 0.1 %

L 1

The time for shaft 1 was measured 11.17 sec so the error is:

δt*100=0.01*100=0.089 %

t 11.17

Also error we have from the instruments we used in the lab, which are: 1) from the

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