You are working for a plumber who is laying very long sections of copper pipe for a large building project. He spends a lot of time measuring the lengths of the sections with a measuring tape. You suggest a faster way to measure the length. You know that the speed of a one-dimensional compressional wave traveling along a copper pipe is 3.56 km/s. You suggest that a worker give a sharp hammer blow at one end of the pipe. Using an oscilloscope app on your smartphone, you will measure the time interval between the arrival of the two sound waves due to the blow: one through the 20.0°C air and the other through the pipe. (a) To measure the length, you must derive an equation that relates the length L of the pipe numerically to the time interval At. OL-(0.00263 m/s)ae OL-(380 m/s)ar OL-(-380 m/s)at OL- (0.000311 m/s)at (b) You measure a time interval of at 154 ms between the arrivals of the pulses and, from this value, determine the length of the pipe (in m). (c) Your smartphone app daims an accuracy of 10% in measuring time intervals. So you calculate by how many centimeters your calculation of the length might be in error cm Need Help? Reed

You are working for a plumber who is laying very long sections of copper pipe for a large building project. He spends a lot of time measuring the lengths of the sections with a measuring tape. You suggest a faster way to measure the length. You know that the speed of a one-dimensional compressional wave traveling along a copper pipe is 3.56 km/s. You suggest that a worker give a sharp hammer blow at one end of the pipe. Using an oscilloscope app on your smartphone, you will measure the time interval between the arrival of the two sound waves due to the blow: one through the 20.0°C air and the other through the pipe. (a) To measure the length, you must derive an equation that relates the length L of the pipe numerically to the time interval At. OL-(0.00263 m/s)ae OL-(380 m/s)ar OL-(-380 m/s)at OL- (0.000311 m/s)at (b) You measure a time interval of at 154 ms between the arrivals of the pulses and, from this value, determine the length of the pipe (in m). (c) Your smartphone app daims an accuracy of 10% in measuring time intervals. So you calculate by how many centimeters your calculation of the length might be in error cm Need Help? Reed

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

Similar questions

A teacher shouting at the top of his lungs emits about 1.0 W of energy as sound waves. Student A is standing 2.0 m away. Student B is standing 20 m away. Compare the sound intensity at these two locations. O 11 = 1012 O 11 =12 O none of the given O 10011 = 12 O 101₁1 =12 11 = 10012
A wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] We now consider two sound waves with different frequencies which have to the same amplitude. The wave functions of these waves are as follows: y1 (t) = A sin (2πf1t) y2 (t) = A sin (2πf2t) Find the resultant wave function analytically. Study how the resulting wave behaves in time.
To measure the acceleration due to gravity on a distant planet, an astronaut hangs a 0.0723-kg ball from the end of a wire. The wire has a length of 1.41 m and a linear density of 3.62 × 10-4 kg/m. Using electronic equipment, the astronaut measures the time for a transverse pulse to travel the length of the wire and obtains a value of 0.112 s. The mass of the wire is negligible compared to the mass of the ball. Determine the acceleration due to gravity. Number i Units
A phone cord is 4.89 m long. The cord has a mass of 0.212 kg. A transverse wave pulse is produced by plucking one end of the taut cord. That pulse makes four round trips (down and back) along the cord in 0.666 s. What is the tension in the cord? Hint: Four round trips is a total distance of eight lengths of the cord.
so a steel wire that is 25 m long is stretched between two walls with a tension of 180 N. assume the wire has a diameter of 2 mm and the density of steel is 7860 kg/m3calculate the time it takes for a wave to travel the length of the wire.If the tension is doubled, what is the new speed of the wave compared to the initialvelocity?
A progressive wave travelling in the x-direction is represented by the following equation: ?=?sin(??−??)y=Asin⁡(Bt−Cx). Given that parameters ?A, ?B and ?C are given in SI units calculate the velocity of the wave for ?=50A=50 , ?=B= 2058 and ?=C= 30.
9. A plane seismic wave, travelling vertically downwards in a rock of density 2200 kg m-3 with seismic velocity 2000 m s-1, is incident on the horizontal top surface of a rock layer of density 2400 kg m-3 and seismic velocity 3300 m s-1. (a) What are the amplitude ratios of the transmitted and reflected waves? (b) What fraction of the energy of the incident wave is transmitted into the lower medium?
A fisherman notices that his boat is moving up and down in a periodic way because of waves on the surface of the water. It takes 4.0 s for the boat to travel from its highest point to its lowest, a total distance of 3.0 m. The fisherman sees that the wave crests are spaced 8.0 m apart. Find the frequency.
2.2
Two straight metal wires connected to each other end-to-end. The first wire is made of magnesium and has a length of 13 m. The other wire is made of nickel and its length is 20 m. Both wires have the same cross-sectional diameter of 0.22 cm. They are stretched to a tension force of 1680 N. What time does it take for a transverse wave to travel through the entire system of two wires? The densities of magnesium and nickel are 1738 kg/m3 and 8908 kg/m3, respectively.
M2/m1=?
A capillary wave is a wave traveling across the surface of a fluid that is driven by the surface tension within the fluid. The speed v of a capillary wave depends on the density of the fluid ?ρ , the wavelength of the wave ?λ, and the surface tension ?σ . The SI units of surface tension are J/m2. The capillary wave speed can be written as ?=???????v=kσaρbλc , where k is some unitless constant. What must be the value of c?