A String of Length 2

question 40

Essay

A string of length 2.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the speed of traveling waves on this string.
(d) Determine the fundamental frequency of this string.

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Definitions:

Compounded Monthly

The practice of calculating interest on the principal and the accumulated interest each month.

Compounded Semiannually

Interest that is calculated and added to the principal balance twice a year.

Equivalent Rate

The interest rate that would produce the same compounded financial result over a specific period as a differently compounded interest rate.

Compound Annual Rate

The rate at which a sum of money would grow if it were compounded once per year.