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(11%) Problem 1: The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz. The oscillating length of a
(11%) Problem 1: The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz. The oscillating length of a D-string on a certain guitar is 0.69 m. This same length of string is weighed and found have a mass of 1.4x10" kg.* 25% Part (a) At what tension, in newtons, must the D-string must be stretched in order for it to be properly tuned? T = 206.641 sin() COS() tan() 7 9 HOME cotan() asin() acos() E Al 4 5 6 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh( + 0 END O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 3 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. -Use the formula for the transverse-wave speed on a stretched string in terms of the tension and the linear mass density. -Use the relation among wave speed, frequency, and wavelength that is valid for all periodic waves. -At the fundamental frequency, the wavelength of a standing wave on a stretched string is twice the string's oscillating length.* 25% Part (c) Determine the frequency, in hertz, of the third harmonic of the tone produced by the properly tuned D-string. f3 = 146.81 sino cos() tanO 7 HOME cotan( asin() acos() E Al 4 5 6 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() 0 END O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. -Use the formula for a harmonic of a stretched string in terms of the fundamental frequency and the harmonic number.D 32 25% Part {(1} The guitarist shortens the oscillating length of the properly timed D-string by 0.12 m by pressing on the string with a nger. What is the fundamental frequency, in hertz. of the new tone that is produced when the string is plucked? f1'= 10.64l Degrees O Radiant: 1/0 BACKSPACE um um\"; Submit Him Feedback Igiveupt mmifotra 0% deduction. Hints remainingi -Apply your considerations for part (a) and solve for the new fundamental frequency. -Nnte that the onlyr parameter that. has changed is the oscillating length of the string. It's still the same string, stretched at. The same tension. Feedback: 0% deductiomperfeedhack. Grade Summary Deductions I Potential 1t]! Suhmlsstnns Attempts remaining: _! (% per attempt] detailed view I l
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