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PASCO WA-9857 String Vibrator User Manual

Page 24

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String Vibrator

Teachers’ Notes–Standing Waves In Strings

24

®

Analysis Method 2

f = (60.0 ± 0.1) Hz
L = (0.987 ± 0.001 m)

This result differs from the direct measurement of linear density by 0.01 × 10

-4

kg/m. It is within

the estimated uncertainty.

F vs. n

F vs. 1/n

2

Slope = 3.74 ± 0.01 N

4

µf

2

L

2

3.74

0.01 N

±

=

µ

3.74

0.01 N

±

(

)

4f

2

L

2

--------------------------------------

2.67

0.01

±

(

) 10

4

×

kg/m

=

=

% Deviation

2.67

10

4

×

kg/m 2.66

10

4

×

kg/m

2.66

10

4

×

kg/m

---------------------------------------------------------------------------------------

100%

Ч

0.4%

=

=