Q. The speed v of sound in a gas depends on the pressure p and density d of the gas and is modeled by the formula v(p, d) = k where k is some constant. Find the rate of change of speed with respect to p and with respect to d.
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![Q. The speed v of sound in a gas depends on the
pressure p and density d of the gas and is modeled by the
formula v(p, d) = k
where k is some constant. Find the
rate of change of speed with respect to p and with respect to d.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F388942d9-e72b-46f2-8ab1-4c264045a495%2F88e0cba0-859d-4ab8-90e3-490ecc3d3471%2F67pzgcc_processed.jpeg&w=3840&q=75)
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- The motion of a body is described by the equation y = 2.10 sin (0.170πt), where t is in s and y is in m. a. Find the frequency (in hertz) b. Find the displacement at t = 2.00 seconds c. Find the displacement at t = 22.5 secondsAt what temperature is the speed of sound in helium (ideal gas, y = 1.67, atomic mass = 4.003 u) the same as its speed in oxygen gas at 9.86 °C? The speed of sound in oxygen at 9.86°C is 322 m/s. Number i UnitsIn the upper atmosphere at altitudes where commercial airlines travel, we find extremely cold tempera-tures. What is the speed of sound (in metric units) for a temperature of -55 ◦ C? Calculate to one decimal.
- 35. ssm The speed of a sound in a container of hydrogen at 201 K is 1220 m/s. What would be the speed of sound if the temperature were raised to 405 K? Assume that hydrogen behaves like an ideal gas.The coldest and hottest temperatures ever recorded in Cuba are 33.1 degrees Fahrenheight (312 K), respectively, What is the speed of sound in air (in m/s) at each temperature? (a) speed of sound at 33.1 degrees Fahrenheight (m/s) (b) speed of sound at 101.8 degrees Fahrenheight (m/s)Pr5. Two identical loudspeakers are located at points (-10,0,0) and (0,0, 10) of our coor- dinate system, where the numbers in the brac- kets correspond to the (r, y, z) coordinates of the points, expressed in meters. The loudspeakers are driven by the same oscillator with a frequ- ency of 170 Hz. The speed of sound in air can be considered 340 m/s. a) Give the coordinates of those points loca- ted on the positive r axis where the sound waves coming from the two loudspeakers interfere con- structively. b) A receiver is started to move slowly from the origin (0,0,0) along a path lying in the r-y plane so that it receives constant sound intensity throughout its slow motion. What is the shape of the path the receiver should take?
- There is a tube of length 1.0 m with one end closed. You clapped your hand at the mouth of the tube once. The echo of the clap came back after 6.0 milliseconds. What is the velocity of sound in the tube ? 330 m/s O 320 m/s 290 m/s O 170 m/sA jogger hears a car alarm and decides to investigate. While running toward the car, she hears an alarm frequency of 872.10 Hz. After passing the car, she hears the alarm at a frequency of 850.10 Hz. If the speed of sound is 343 m/s. ¹) Calculate the speed of the jogger. (Express your answer to three significant figures.) Submit m S10. The speed of sound in air is 343.2 m/s at 20 °C. You design experiments using three different types of techniques and equipment to measure the speed of sound yourself. You collect the following sets of experimental data (four measurements, or trials, for each of your three techniques). Which trial provides good precision but poor accuracy? a. trial 1: 346 m/s, 356 m/s, 334 m/s, 329 m/s b. trial 2: 374 m/s, 373 m/s, 371 m/s, 373 m/s c. trial 3: 345 m/s, 344 m/s, 342 m/s, 341 m/s d. trial 1: 313 m/s, 333 m/s, 353 m/s, 363 m/s e. more than one of the above provides precision but not accuracy
- The speed of sound in air is 340 m/s, and the density of air is 1.20 kg/m³. If the displacement amplitude of a 510.0-Hz sound wave is Pa 14.0 μm, what is its pressure-variation amplitude? iThe speed of sound in a solid medium is given by ?=?/?‾‾‾‾√v=E/ρ where ?E is the value of Young's modulus for the solid and ?ρ is the density. A sound wave travels at 5.8×1035.8×103 m/s in a steel rod of length 1.11 m, diameter 2.0 cm and mass 7.0 kg. Use the data to determine the value of the Young's modulus for steel. Give your answer in giga-pascal (GPa, 109 Nm-2).We will assume that a sound wave, once generated and emitted, will propagate uniformly in all directions of 3-dimensional space. Find an expression for the displacement s(r, t) of the air particles from equilibrium, where r is the radial distance from the source, and t is time. Introduce physical constants/coefficients, with appropriate physical dimensions, when necessary.