wave velocity in string
v = (T / (M/L))^0.5
here mass will affect directly
=> velocity affects by a factor of 1/(3)^0.5 = 0.58 OPTION (b)
Tripling the diameter (3 times thicker) of a guitar string will result in changing the wave...
The fundamental frequency on a guitar can be increased by Select one: a. increasing the length of the string. b. plucking the string with more intensity. c. changing the number of strings. d. decreasing the velocity of the wave.
An E guitar string of length 40 cm is fixed at both ends. It vibrates at the fundamental frequency of f = 330 Hz. 14) What is the velocity of a wave travelling in the string? a. 520 m/s b. 130 m/s c. 260 m/s
5. Imagine a string that is fixed at both ends (e.g. a guitar string). When plucked, the string forms a standing wave. The vertical displacement u of the string varies with position r and time t. Suppose u(x,t) = 2 sin(nx) sin(mt/2), for 0 x 1 and t 0. Convince yourself of the following: If we freeze the string in time, it will form a sine curve. Alternatively, if we instead focus on a single position, we will see the...
Jennifer is using a tuning fork to tune her fifth guitar string, which should be at a frequency of 110 Hz, or note A2 in music terms. When she rings the tuning fork and plucks her guitar string, she hears 8 beats/s. Note: parts (a) and (b) require absolute accuracy. Your answer must be exactly correct-not just within 5% (a) What are the two possible frequencies of Jennifer's guitar string? fmAx Number Units Number Units min (b) When Jennifer loosens...
Jennifer is using a tuning fork to tune her fifth guitar string, which should be at a frequency of 110 Hz, or note A2 in music terms. When she rings the tuning fork and plucks her guitar string, she hears 8 beats / s. Note: parts (a) and (b) require absolute accuracy. Your answer must be exactly correct--not just within 5%. (a) What are the two possible frequencies of Jennifer's guitar string? Fmax = Number Units f min = Number...
B. A wave on a long string is represented by the equation y = 1.0 m sin[(0.5 m−1) x + (1.5 s−1) t]. The speed and the direction of motion of this wave is: (a) 0.33 m/s in the +x direction. (b) 0.75 m/s in the +x direction. (c) 3.00 m/s in the +x direction. (d) 0.33 m/s in the −x direction. (e) 3.00 m/s in the −x direction C. Two cello strings, with the same tension and length, are...
At t = 0, the instantaneous position of two pulses moving along a taut string with a speed v = 23.2 cm/s are as shown in the diagram below. Each unit on the horizontal axis is 4.0 cm and each unit on the vertical axis is 3.0 cm. (The peak of pulse 2 is exactly on a half unit of the horizontal axis.) (a) At what location will the resultant of the two pulses have maximum amplitude? cm (b) At...
A wave is passing through a string. If the displacement position of a point on the string is given by D(x, t) = (4m) sin((2m^−1 )x + (6s^−1 )t − 9), what is the instantaneous displacement acceleration of a point on the string at x = 2m, t = 3s? (a) −1.7 m s 2 (b) +1.7 m s 2 (c) +10 m s 2 (d) −32 m s 2 (e) −61 m s 2
You generate a standing wave on a 1-m long string, fixed on both ends, by forcing it to vibrate at 100 Hz. When doing so, the standing wave has a wavelength of 1 m. According to the wave equation, v=Af, the speed of the wave along the string is 100 m/s. Suppose the forcing frequency is doubled to 200 Hz, without changing the length, tension or ends of the string. What is the new wavelength and wave speed? A. The...
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 0.65 m. This same length of string is weighed and found have a mass of 1.4×10-3 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 = 78.443 T = 78.44 ✔ Correct! 25% Part (b) What is the...