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General – PASCO ME-6694 TORSION PENDULUM User Manual

Page 17

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012–06339A

Torsion Pendulum

13

Table TN1.1

Calculation of torsional spring constants of the wires (

κ

),

typical data

Run

wire diameter

slope of

l

κ

(inches)

F vs. angPos

(m)

(N·m)

1

0.032

-0.3162

0.0254

0.008

2

0.047

-1.4300

0.0254

0.036

3

0.062

-4.4465

0.0254

0.113

Teacher’s Notes:

General

Safety Note:

Use safety glasses when operating the Torsion

Pendulum

Experimental data will vary somewhat from the typical data included here due to the
differences in wire lengths and other variables, but the overall data patterns will be the
same.

Figure TN1.1

Typical data for determining the torsional spring constant (

κ

) (0.047 inch diameter

wire)

Run #6

Angular Position (rad)

0

1.0

2.0

3.0

4.0

5.0

6.0

Linear Fit
y = a1 + a2 x
a1 = -0.16328
a2 = -1.42996
chi^2 = 0.03058
iterations = 20

-6

.0

-4

.0

-2

.0

0

R

un #

6

F

o

rc

e

(N

)

slope of
the fitted
line