Question

A string with both ends held fixed is vibrating in its third harmonic. The waves have...

A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 193 m/s and a frequency of 235 Hz. The amplitude of the standing wave at an antinode is 0.380 cm.

a)Calculate the amplitude at point on the string a distance of 16.0 cm from the left-hand end of the string.

b)How much time does it take the string to go from its largest upward displacement to its largest downward displacement at this point.

c)Calculate the maximum transverse velocity of the string at this point.

d)Calculate the maximum transverse acceleration of the string at this point.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Standing waves on a 1.5-meter long string that is fixed at both ends are seen at...
Standing waves on a 1.5-meter long string that is fixed at both ends are seen at successive (that is, modes m and m + 1) frequencies of 38 Hz and 42 Hz respectively. The tension in the string is 720 N. What is the fundamental frequency of the standing wave? Hint: recall that every harmonic frequency of a standing wave is a multiple of the fundamental frequency. What is the speed of the wave in the string? What is the...
The following two waves are sent in opposite directions on a horizontal string so as to...
The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane: y1(x, t) = (6.80 mm) sin(4.80πx - 460πt) y2(x, t) = (6.80 mm) sin(4.80πx + 460πt), with x in meters and t in seconds. An antinode is located at point A. In the time interval that point takes to move from maximum upward displacement to maximum downward displacement, how far does each wave move along the...
A 4.70-m-long string that is fixed at one end and attached to a long string of...
A 4.70-m-long string that is fixed at one end and attached to a long string of negligible mass at the other end is vibrating in its fifth harmonic, which has a frequency of 428 Hz. The amplitude of the motion at each antinode is 2.82 cm. (a) What is the wavelength of this wave? ?5 =  m (b) What is the wave number? k5 =  m?1 (c) What is the angular frequency? ?5 =  s?1 (d) Write the wave function for this standing...
The second harmonic standing wave on a particular string fixed at both ends is given by:...
The second harmonic standing wave on a particular string fixed at both ends is given by: y(x, t) = 0.01 sin(2π x) cos(200π t) (in SI units). a) Fill in the following information: λ2 = f2 = v = b) How long is the string, and what is its fundamental frequency? L =   f1 = c) This second harmonic wave has total energy E2. If the string is plucked so that has the first harmonic wave on it instead at...
A guitar string vibrates in its fundamental mode, with nodes at its ends. The length of...
A guitar string vibrates in its fundamental mode, with nodes at its ends. The length of the rope segment that vibrates freely is 0.386 m. The maximum transverse acceleration of a point at the midpoint of the segment is 8.40x103 m / s2, and the maximum transverse velocity is 3.80 m / s. a) Calculate the amplitude of this standing wave. b) How fast are transverse traveling waves in this rope? a a) 1.72 m b) 543 m/s b a)...
Oscillation of a 230 Hz tuning fork sets up standing waves in a string clamped at...
Oscillation of a 230 Hz tuning fork sets up standing waves in a string clamped at both ends. The wave speed for the string is 750 m/s. The standing wave has four loops and an amplitude of 1.6 mm. (a) What is the length of the string? (b) Write an equation for the displacement of the string as a function of position and time. Round numeric coefficients to three significant digits.
A standing wave is set up in a L=2.00m long string fixed at both ends. The...
A standing wave is set up in a L=2.00m long string fixed at both ends. The string vibrates in its 5th harmonic when driven by a frequency f=120Hz source. The mass of the string is m=3.5grams. Recall that 1kg = 1000grams. A. Find the linear mass density of the string B. What is the wavelength of the standing wave C. What is the wave speed D. What is the tension in the string E. what is the first harmonic frequency...
A standing wave on a string fixed at both ends is described by y(x,t)=2 sin((π/3)x)cos((π/3)t), where...
A standing wave on a string fixed at both ends is described by y(x,t)=2 sin((π/3)x)cos((π/3)t), where x and y are given in cm and time t is given in s. Answer the following questions a) Find the two simplest travelling waves which form the above standing wave b) Find the amplitude, wave number, frequency, period and speed of each wave(Include unit in the answer) c) When the length of the string is 12 cm, calculate the distance between the nodes...
Two waves traveling on a string in the same direction both have a frequency of 100...
Two waves traveling on a string in the same direction both have a frequency of 100 Hz, a wavelength of 2 cm, and an amplitude of 0.02 m. What is the amplitude of the resultant wave if the original waves differ in phase by each of the following values? (a) π/6 cm (b) π/3
1a. Derive a formula for the wavelength of a standing wave on a fixed string at...
1a. Derive a formula for the wavelength of a standing wave on a fixed string at both ends in terms of the number of antinodes, n, and the length of the string. 1b. For an aluminum rod, when a wave is set up in the rod, do you expect the ends of the rod to allow vibrations or not? Are they considered open or closed for displacement? 1c. Draw schematic pictures of the two longest wavelengths that could fit on...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT