The Frequency of Vibrations of a Piano String Varies Directly

question 45

Multiple Choice

The frequency of vibrations of a piano string varies directly as the square root of the tension on the string and inversely as the length of the string.The middle A string has a frequency of 430 vibrations per second.Find the frequency of a string that has 1.25 times as much tension and is 1.4 times as long. ​

• A)373.4 vibrations / sec
• B)343.4 vibrations / sec
• C)353.4 vibrations / sec
• D)383.4 vibrations / sec
• E)363.4 vibrations / sec

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Definitions:

Water

A transparent, tasteless, odorless, and nearly colorless chemical substance that is the main constituent of Earth's hydrosphere and the fluids of most living organisms.

Price Elasticity

An indicator of the sensitivity of demand for a product to variations in its price, represented as a percentual change.

Small Percentage

A quantitatively minor proportion or fraction of a total amount, often implying a negligible or minor impact.

Cross-Price Elasticity

An indicator of the variance in the demand for a specific item as a result of fluctuations in the cost of a different product.