# Glass Goblet Resonance

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Contents

## Introduction

We will experiment to test the hypothesis related to glass goblet resonance. The hypothesis says thicker liquid and greater liquid volumes make the glass goblet resonate at a lower frequency. We will also determine the effect of the shape and size of the glass goblet on frequency.

## Aim

To determine whether thicker liquid and greater liquid volumes make the glass goblet resonate at a lower frequency and also the effect of shape and size of the goblet glass on frequency.

## Theory

1. The phenomenon in which the applied force frequency is equal to or somewhere near the system frequency, which increases its amplitude, is called resonance.

2. The frequency at which the system starts oscillating is called resonant frequency.

## Requirements

2. Small and Big Glass Goblets

3. Water

4. Vegetable Oil

5. Molasses

## Procedure

Step 1: Fill the goblet glass with water, molasses, or vegetable oil

Step 2: To record large and small goblet glass pitches, use a KORG Chromatic Tuner CA-30.

Step 3: Do this experiment with every liquid.

Step 4: Use the formula f(2) = f(1) X 2^(x/1200), for converting record pitches to frequency

Where f(2) = sound frequency in hertz

f(1) = frequency of closest semitone

x = Number of cents (pitch unit based on the equal-tempered scale)

## Observation

1. Greater volume of liquid produces lower frequencies.

2. Oil produces a higher frequency than water.

3. Molasses produce a lower frequency than water.

4. Smaller goblet glass produced a lower frequency than larger goblet glass.

## Result

1. Our hypothesis is correct, i.e., increasing the water level lowers the frequency.

2. The density of the liquid and the shape of the glass also influence the pitch.

3. The volume of liquid had a greater effect on frequency than the density of the liquid.

## Precaution

2. Use the formula correctly.

## Conclusion

Through this experiment, we have understood glass goblet resonance, and we have seen how the frequency of the goblet glass varies based on volume, size, shape, and type of liquid.

Q.1 What was the hypothesis of this experiment?

ANS. Our hypothesis was thicker liquid and greater liquid volumes make the glass goblet resonate at a lower frequency.

Q.2 What was the aim of your experiment?

ANS. To determine whether thicker liquid and greater liquid volumes make the glass goblet resonate at a lower frequency and also the effect of shape and size of the goblet glass on frequency.

Q.3 What do you understand about resonance?

ANS. The phenomenon in which the applied force frequency is equal to or somewhere near the system frequency, which increases its amplitude, is called resonance.

Q.4 What is the result of your experiment?

ANS. A greater volume of liquid produces lower frequencies.

Q.5 Is your hypothesis correct or wrong?

ANS. Our hypothesis is correct, i.e., increasing the water level lowers the frequency.

Q.6 Which formula did you use in this experiment?

ANS. f(2) = f(1) X 2^(x/1200),

where f(2) = sound frequency in hertz,

f(1) = frequency of closest semitone, and

x = number of cents (pitch unit based on the equal tempered scale).

Q.7 What is the use of this formula?

ANS. To convert recorded pitch to frequency.