Lab 4: Standing Waves (4) x

Purpose:

In this lab we will examine the properties and characteristics of a standing waves driven by external force.


Method:

Trials	Node	d Between node	F	W
1	2	204+/- 0.01 cm	10.6+/-0.01 Hz	408+/- 0.01 cm
2	3	102+/- 0.01 cm	19.2 +/-0.01 Hz	204+/- 0.01 cm
3	4	73+/- 0.01 cm	29.66 +/-0.01 Hz	146+/- 0.01 cm
4	5	52+/- 0.01 cm	42.59 +/-0.01 Hz	106+/- 0.01 cm
5	6	43+/- 0.01 cm	51.5 +/-0.01 Hz	84+/- 0.01 cm
6	7	37+/- 0.01 cm	60.8+/-0.01 Hz	74+/- 0.01 cm
7	8	30+/- 0.01 cm	71.9 +/-0.01 Hz	60+/- 0.01 cm
8	9	25+/- 0.01 cm	83.04 +/-0.01 Hz	50+/- 0.01 cm

Wave Speed

Case 2

Trial	Node	d between node	F	W
1	2	93.25+/- 0.01 cm	11.9+/-0.01 Hz	186.5+/- 0.01 cm
2	3	62.2+/- 0.01 cm	16.25 +/-0.01 Hz	124.4+/- 0.01 cm
3	4	46.6+/- 0.01 cm	21.77+/-0.01 Hz	93.2+/- 0.01 cm
4	5	37.3+/- 0.01 cm	27.97 +/-0.01 Hz	74.6+/- 0.01 cm
5	6	31+/- 0.01 cm	33.77 +/-0.01 Hz	62+/- 0.01 cm
6	7	26.6+/- 0.01 cm	39.83+/-0.01 Hz	53.2+/- 0.01 cm
7	8	23.3+/- 0.01 cm	45.73 +/-0.01 Hz	46.6+/- 0.01 cm
8	9	20.7+/- 0.01 cm	51.23 +/-0.01 Hz	41.4+/- 0.01 cm

Conclusion:

Due to the linear relationship between frequency and wavelength, we have validate the frequency wavelength equation. The velocity of the oscillating wave corresponds to the slope of the trendlines. The two graph have similar velocity thus we conclude that the equation is valid.