The Frequency of Vibrations of a Piano String Varies Directly

question 4

Short Answer

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 410 vibrations per second. Find the frequency of a string that has 1.75 times as much tension and is 1.2 times as long.
​

---

Definitions:

Unskilled Workers

Workers who have no specific training or specialized skills and usually perform simple tasks that require limited education.

Minimum Wage

The minimum wage permitted by law that employers can pay their employees, whether it's calculated by the hour, day, or month.

Backward-Bending Labor Supply Curve

As the wage rate rises, more and more people are willing to work longer and longer hours up to a point. They will then substitute more leisure time for higher earnings.

Hourly Wage

Compensation paid based on the number of hours worked, typically expressed as a rate per hour.