Solving the A-String Puzzle: Calculating Mass from Length and Tension

Thread starter cumminatyou93
Start date Sep 18, 2012
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Length Mass Puzzle Tension

In summary, to calculate the mass of an A-string, you can use the formula: mass = (length x tension) / (g x frequency^2). The purpose of solving the A-string puzzle is to determine the mass of the string, which can provide valuable information for musicians, engineers, and scientists studying the properties of materials and sound. The A-string puzzle can be solved using different units of measurement as long as they are consistent and converted to the same system. The mass calculation using the A-string puzzle can be very accurate, but slight variations may occur due to factors such as temperature and elasticity of the string. The A-string puzzle is applicable to most types of strings, but certain factors like material and thickness may affect the accuracy of

Sep 18, 2012

cumminatyou93

Homework Statement

The A-string (440Hz ) on a piano is 38.9cm long and is clamped tightly at both ends. If the string is under 667-N tension, what is its mass?

I can't figure out which equations to use. Anybody know?

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Sep 19, 2012

voko

The fundamental frequency of a vibrating string.

1. How do you calculate the mass of an A-string using length and tension?

To calculate the mass of an A-string, you can use the formula: mass = (length x tension) / (g x frequency^2), where g is the acceleration due to gravity and frequency is the frequency of the string.

2. What is the purpose of solving the A-string puzzle?

The purpose of solving the A-string puzzle is to determine the mass of the string, which can provide valuable information for musicians, engineers, and scientists studying the properties of materials and sound.

3. Can the A-string puzzle be solved using different units of measurement?

Yes, as long as all the units are consistent, the A-string puzzle can be solved using different units of measurement. However, it is important to convert all units to the same system before plugging them into the formula.

4. How accurate is the mass calculation using the A-string puzzle?

The mass calculation using the A-string puzzle can be very accurate if the length, tension, and frequency are measured precisely. However, there may be slight variations due to factors such as temperature and elasticity of the string.

5. Is the A-string puzzle applicable to all types of strings?

The A-string puzzle is applicable to most types of strings, as long as the string is under tension and has a measurable length and frequency. However, certain factors such as material and thickness may affect the accuracy of the calculation.