In November of 1940, the newly-constructed bridge over the Tacoma Narrows strait collapsed after undergoing severe oscillations brought on by strong winds. The oscillations partly took the form of a torsional (twisting) standing wave. A node of the standing wave can be seen near each of the two tall towers, with another about halfway between the towers. The wavelength of the standing wave is, therefore, approximately equal to the distance between the towers, which was about 850 m. The time for one complete oscillation was observed to be about 4.5 s. Using these observations, calculate the approximate speed of the torsional wave on the bridge. speed of the torsional wave: m/s

In November of 1940, the newly-constructed bridge over the Tacoma Narrows strait collapsed after undergoing severe oscillations brought on by strong winds. The oscillations partly took the form of a torsional (twisting) standing wave. A node of the standing wave can be seen near each of the two tall towers, with another about halfway between the towers. The wavelength of the standing wave is, therefore, approximately equal to the distance between the towers, which was about 850 m. The time for one complete oscillation was observed to be about 4.5 s. Using these observations, calculate the approximate speed of the torsional wave on the bridge. speed of the torsional wave: m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Part A The integral with respect to time of a force applied to an object is a measure called…

Q: A string oscillates according to the equation y´ = (0.488 cm) sin[(7/3.0 cm1)x] cos[(40.2 t s-1)t].…

A: Ques:

Q: This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction.…

Q: A string oscillates according to the equation y' = (0.5 cm) sin[(cm-¹)x]cos[(40π s¯¹)t] 3 (a). What…

A: y = (0.50cm)sin(π/3 cm-1x)sin(35πrads(9/8t)) a) the amplitude of each of the travelling waves is…

Q: fisherman notices that his boat is moving up and down periodically without any horizontal motion,…

A: vertical displacement travelled = 0.680 m amplitude = 0.680/2= 0.340 m

Q: Two sinusoidal sine waves are moving through a medium in the same direction, both having amplitude…

A: Amplitude of wave 1 (A)=3 cmApmlitude of wave 2 (A)= 3 cmTime period (T)= 6.52 sWavelength (λ) =…

Q: Problem 3. A wave traveling on a Slinky® that is stretched to 4 m takes 2.4 s to travel the length…

A: Distance traveled:d=2L=2×4=8 mt=2.4 sNumber of nodes=4Number of antinodes=3

Q: A string oscillates according to the equation ´ (0.488 cm) sin[(n/3.0 cm-1)x] cos[(40.2 ns4)t]. What…

A: Given that:y'=(0.488cm) sin[(π3.0cm-1)x] cos[(40.2π s-1)t]

Q: A string oscillates according to the equation y´ = (0.752 cm) sin[(7/5.0 cm 1)x] cos[(29.6 ms4)t].…

A: Given : Equation of the wave y = (0.752)sin[(π5)x]cos[(29.6π)t]

Q: A spring is stretched to a length of 7.0 m. A frequency of 2.0 Hz generates a standing wave in the…

Q: A wave is described by the function y(x,t) = (3.00 cm)cos[( 3.00 rad/m)x + ( 4.00 rad/s)t]. What is…

Q: A string oscillates according to the equation D(x.t) = (0.50 cm) sinc cm-¹)x]cos[(40ms-¹)] what is…

Q: A traveling wave along the x-axis is given by the following wave function ψ(x, t) = 3.5 cos(1.5x -…

A: The expression for the wave function of the wave is, ψ(x, t)=3.5 cos(1.5x- 8.6t+0.46)…

Q: An earthquake on the ocean floor in the Gulf of Alaska produces a tsunami (sometimes incorrectly…

Q: Two waves on one string are described by the wave functions y1=y1= 2.34 cos(2.30x − 1.83t)…

A: Two waves on one string are described by the wave functions y1=y1= 2.34 cos(2.30x − 1.83t)…

Q: A string oscillates according to the equation y' = (0.367 cm) sin[(n/5.0 cm)x] cos[(45.2 n slye).…

A: (a) Given: The equation of the oscillation is y'=0.367 cmsinn5.0 cm-1xcos45.2n s-1t. Introduction:…

Q: A sinusoidal wave train is described by y = 25 sin [2π (6x + 5t)] where x and y are measured in…

A: Sinusoidal wave train is described by : y = 25 Sin[2π(6x+5t)]where x and y are in centi meter

Q: a) If the period of oscillation of a given wave is 6.5 seconds and the wave is travelling at 19 m/s,…

A: Given that:- Time period=6.5sec And velocity of wave=19m/s

Q: ing os y' = (0.103 cm) sin[(n/3.0 cm-1)x] cos[(27.7 n s)t]. What are the (a) amplitude and (b) speed…

Q: A man on a dock observes that the distance between two successive crests of a water wave is 4.00 m.…

A: Given data: The distance between two successive crests of a water wave = 4.00 m The time taken to…

Q: A string of mass 0.50 kg and a length 3.0 meters is clamped on both ends. If the tension in the…

A: Lowest three natural frequencies f° = 2.04 Hz f1= 4.08 Hz f2= 6.12 Hz

Q: A string oscillates according to the equation y' = (0.367 cm) sin[(n/5.0 cm¯²)x] cos[(45.2 n s)t].…

A: Given : y' = (0.367 cm) sin π5.0cm-1x cos 45.2 πt

Q: Two waves traveling together along the same line are given by Y₁ = a sin(wt - kx) Y₂ = a sin(wt +…

Q: A displacement function y is produced when there are two waves present with displacements y 1 = 6.00…

Concept explainers

Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

Question

In November of 1940, the newly-constructed bridge over the
Tacoma Narrows strait collapsed after undergoing severe
oscillations brought on by strong winds.
The oscillations partly took the form of a torsional (twisting)
standing wave. A node of the standing wave can be seen near
each of the two tall towers, with another about halfway
between the towers. The wavelength of the standing wave is,
therefore, approximately equal to the distance between the
towers, which was about 850 m. The time for one complete
oscillation was observed to be about 4.5 s.
0:04 | 0:04
1x
CC
Using these observations, calculate the approximate speed of
the torsional wave on the bridge.
speed of the torsional wave:
m/s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A person lying on an air mattress in the ocean rises and falls through one complete cycle every five seconds. The crests of the wave causing the motion are 27.4 m apart. Determine (a) the frequency and (b) the speed of the wave. (a) Number (b) Number i Units Units
A string oscillates according to the equation y' = (0.752 cm) sin[(7/5.0 cm-1)x] cos[(29.6 t s )t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 1.74 cm when t = 1.17 s? (a) Number Units (b) Number Units (c) Number Units (d) Number i Units
A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 2.6 s for the boat to travel from its highest point to its lowest, a total distance of 0.53 m. The fisherman sees that the wave crests are spaced 4.8 m apart. How fast are the waves traveling? (Give your answer in m/s.)
A model aircraft with an engine producing vibrations of constant frequency of ?0 =500 ?? flies at a constant speed in horizontal circle of radius ? = 15 ? and completes one revolution in 5.0 ?. An observer situated in the plane of the circle and 50 ? from its centre monitors the frequency of sound from the engine. Using the speed of sound in air as 340 m/s, calculate the maximum and minimum observed frequencies.
A large goose lands in a lake and bobs up and down for a short time. A fisherman notices that the first wave crest created by the goose reaches the shore 7.8 s after the goose first contacts the water. The distance between two wave crests is 90 cm, and in 2.2 s he sees four wave crests hit the shore. Determine how far from the shore the goose landed. Note: My calculations give me 12.76 but it is incorrect.
Two waves, of the same wavelength are travelling in opposite directions. One wave has an amplitude of 10 cm, while the other wave has an amplitude of 5 cm. What is the magnitude of the amplitude of the resulting wave when the waves are constructively interfering? Question 5 options: 5 cm 20 cm 15 cm 10 cm
A sinusoidal wave of frequency 510 Hz has a speed of 340 m/s. (a) How far apart are two points that differ in phase by n/5 rad? (b) What is the phase difference between two displacements at a certain point at times 4.2 ms apart? (a) Numbel0.067 nitm Units (b) Number [4.26 Units rad
Some Hawaiian tsunamis For an interval of 45 minutes, the tsunamis near Hawaii caused by the Chilean earthquake of TT 1960 could be modeled by the equation y = 8 sin -t, 6 where y is in feet and t is in minutes. (a) Find the amplitude and period of the waves. (b) If the distance from one crest of the wave to the next was 21 kilometers, what was the velocity of the wave? (Tidal waves can have velocities of more than 700 km/hr in deep sea water.)
(c)-(d) only