1.) Estimate the natural frequency of a 0.5 L plastic water bottle if the temper

Question

1.) Estimate the natural frequency of a 0.5 L plastic water bottle if the temperature of the surrounding air is 20 degres Celsius? 2.) Discuss what would happen to the period of oscillations of a swing if you change your position from sitting on the seat to standing on it? 3.) Some system vibrates with a natural frequency of 100 Hz. What frequencies of external force will produce resonance? 4.) Consider two springs, A and B, which have the same spring constant. Spring A is loaded with mass 2 kg spring B with mass 1 kg, and then they are set into vibration. Which spring will demonstrate a higher frequency of oscillations? What is the ratio of these frequencies? 5.) What happens to a frequency of a Helmholtz resonator if the temperature of the surrounding air changes from 10 degrees Celsius to 30 degrees Celsius? Compare the change of frequencies with the figures from Appendix B. Will you b able to hear the difference?

Explanation / Answer

2. Less ....the period of oscillations of a swing if you change your position from sitting on the seat to standing on it will be less.... We know T = 2pi((l/g)^(1/2))... Here we should measure the length l of the string from the top point tied to the beam till the centre of gravity . When we stand center of gravity is shifted upward. Thus l is less. Therefore t is less

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