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Lesson o wave Properties Begin Date: 6/21/2022 12:01:00 AM - Due Date: 7/10/2022 11:59:00 PM End Date: 8/7/2022 11:59:00 PM (4%) Problem 13: Using special techniques called string harmonics (or "flageolet tones"), stringed instruments can produce the first few overtones of the harmonic series. While a violinist is playing some of these harmonics for us, we take a picture of the vibrating string (see figures). Using an oscilloscope, we find the violinist plays a note with frequency f=740 Hz in figure (a). 14% Part (a) How many nodes does the standing wave in figure (a) have? N= sin() cos() cotan() asin() atan() acotan() cosh() tan() acos() sinh() cotanh() tanh() Degrees O Radians Submit Hint ( E14 7 I 8 9 6 5 1 2 3 + 0 VO HACKSACH S I give up! HOME END dhaok Otheexpertta.com Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: 5 (5% per attempt) detailed view
ware in uguit (a) have? 14% Part (b) How many antinodes does the standing wave in figure (a) have? n = || sin() cotan() atan() cosh() cos() asin() Hints: 0% deduction per hint. Hints remaining: 2 acotan() tanh() Degrees Submit tan() ग ( ) acos() E 14 sinh( cotanh() Radians Hint 7 8 9 5 6 1 2 3 + 0 VO BACKSPACE [DE] Feedback HOME END I give up! Feedback: 0% deduction per feedback.
14% Part (c) The string length of a violin is about L= 33 cm. What is the wavelength of the standing wave in figure (a) in meters? λ= sin() cotan() atan() cosh() cos() asin() acotan() tanh() Degrees O Radians Hints: 0% deduction per hint. Hints remaining: 2 Submit tan() acos() E sinh() cotanh() Hint I ( ) 7 4 Feedback 8 9 5 6 3 1 2 + 0 A VO BACKSPACE j TIND CLEAR I give up! Feedback: 0% deduction per feedback. Grade Deducti Potentia Submiss Attempt (5% per detailed
►& 14% Part (d) The fundamental frequency is the lowest frequency that a string can vibrate at (see figure (b)). What is the fundamental frequency for our violin in Hz? fi = cos() asin() acotan() tanh() Degrees O Radians sin() cotan() atan() cosh() Hints: 0% deduction per hint. Hints remaining: 2 tan() न ( ) acos() E sinh() cotanh() Submit 8 9 7 4 5 6 1* 1 2 + 0 3 VOJACKPACE Hint LEND Feedback I give up! Feedback: 0% deduction per feedback. Grade Summary Deductions Potential 05 100% Submissions Attempts remaining: 5 (5% per attempt) detailed view
& 14% Part (e) In terms of the fundamental frequency f, what is the frequency of the note the violinist is playing in figure (c)? fo= В b f₁ J n Hints: 0% deduction per hint. Hints remaining Submit Y C g k P Hint 0 d h m S ( 789 14 5 6 1. 123 + 0 VO SACKSPACE I give up! Feedback: 0% dedaction per feedback Grade Summary Deductions Potential 05 100% Submissions Attempts remaining: 5 (5% per attempt) detailed view
pasym in ug A 14% Part (0) Write a general expression for the frequency of any note the violinist can play in this manner, in terms of the fundamental frequency f, and the n, the number of antinodes on a standing wave. f=1 В b f₁ j n Submit Y C g k P Hint 0 d h m S ( 78 9 114 5 6 1. 1 2 3 + . 0 O VOCKSPACE HE Fondback I give up! TOVO) CLEAR Grade Summary Deductions Potential 05 100% Submissions Attempts remaining: 5 (5% per attempt) detailed view
14% Part (g) What is the frequency, in hertz, of the note the violinist is playing in figure (d)? fa=1 sin() cos()) cotan() asin() atan() acotan() cosh() tan() acos() sinh() cotanh() tanh() Degrees O Radians Submit Hint I ( 7 8 9 E 14 5 6 1. I 2 3 + 0 VO BACKSIACE Feedback I give up! HOME 40 HND