Compare the values of calculated i – PASCO ME-6694 TORSION PENDULUM User Manual
Page 15
012–06339A
Torsion Pendulum
11
Table 1.3
Calculation of I
disk and cylinder
from the torsional spring constants
of wires (
κ
)
Part C: Determining the Moment of Inertia (I) of a Disk and Cylinder Using Two Methods
1.
Place the ring of the Mini-Rotational
Accessory on the disk (Figure 1.3).
2.
Repeat steps 26 of Part B. Record your
data in Table 1.3.
3.
Change the wire to the 0.047 inch
diameter wire and repeat steps 26.
4.
Change the wire to the 0.032 inch
diameter wire and repeat steps 26.
5.
Measure the mass and R
1
and R
2
of the
cylinder and record below.
wire diameter
κ
(N·m)
T
I
disk and cylinder
(inches)
(from part A)
(s)
(kg/m
2
)
0.032
0.047
0.062
Figure 1.3
Experimental setup for Part C
cylinder from Mini-
Rotational Accessory
disk from Mini-
Rotational
Accessory
3-step pulley
R
2
R
1
mass of cylinder (kg) ____________
R
1
(m) ____________________
R
2
(m) _
___________________
I =
1
2
m(R
1
2
+
R
2
2
)
I
disk and cylinder
(using mass and radius measurements) _____________
Compare the values of calculated I
1.
Calculate I using both formulas:
and record above.
I =
1
2
mR
2
+
1
2
m(R
1
2
+
R
2
2
)
I =
T
2
π
2
κ
and