E203

E203: MOMENT OF INERTIA
GAGABI, Dann Gil T.

OBJECTIVES
This experiment will determine the mass of inertia of a disk and ring. This will also allow us to compare the moment of inertia of solid disk rotated at two different axes: at the center and along its diameter.

MATERIALS AND METHODS
Materials:
1 set rotating platform
1 pc disk
1 pc ring
1 pc photogate
1 pc smart timer
1 pc smart pulley
1 set weights
1 pc mass hanger
1 vernier caliper

Before starting the experiment, always make sure that the disk is properly mounted to the rotating platform and the photagate must be connected to 220-V source.

Set-up of the materials

OBSERVATIONS AND RESULTS

TABLE 1:
Mass of Disk=1,400.2 grams
Mass of Ring=1,430.8 grams
Radius of Disk= 11.4 cm
Inner radius of ring= 5.45 cm
Outer radius of ring= 6.25 cm
Friction mass=5 grams radius= 0.845 cm
=
Trial
(mass of pan + mass added) acceleration Experimental value of inertia
1
20 grams
0.1 cm/
139,934.62 g
2
40 grams
0.2 cm/
157, 410.38 g
3
65 grams
0.3 cm/
139,906.06 g

Average
145,750.35 g

% Difference
3.92%

TABLE 2:
Mass of Disk=1,400.2 grams
Radius of Disk= 11.4 cm
Friction mass= 5 grams radius=0.845 cm
= 90,985.0 g
Trial
(mass of pan + mass added) acceleration Experimental value of inertia
1
20grams
0.2 cm/
69,960.17 g
2
40 grams
0.4 cm/
69,945.89 g
3
60 grams
0.5 cm/
83,926.50 g

Average
74,610.85 g

% Difference
19.78%

TABLE 3:
Mass of Ring= 1,430.8 grams
Inner radius of ring= 5.45 cm
Outer radius of ring= 6.25 cm
=-
= 71,139.5 g
% Difference 36.53%

TABLE 4:
Mass of Disk= 1,400.2 grams
Radius of Disk= 11.4 cm
Friction mass= 5 grams radius=0.845 cm
= 45,492.5
Trial
(mass of pan + mass added) acceleration Experimental value of inertia
1
15 grams
0.2 cm/
52,470.13 g
2
25 grams
0.4 cm/
43,716.18 g
3
30 grams
0.5 cm/
41,963.25 g

Average
46,049.85 g

% Difference
1.22%

DISCUSSION