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Chapter 16: Q16P (page 473)
The speed of a transverse wave on a string is170m/swhen the string tension is 120N. To what value must the tension be changed to raise the wave speed to180m/s?
The value of change in tension to raise the velocity to 180 m/s in wave speed is 135 N
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Two waves are described byand , where,and xare in meters and t is in seconds. When these two waves are combined, a traveling wave is produced. What are the (a) amplitude, (b) wave speed, and (c) wavelength of that travelling wave?
For a particular transverse standing wave on a long string, one of an antinodes is at x = 0and an adjacent node is at x = 0.10 m. The displacement y(t)of the string particle at x = 0is shown in Fig.16-40, where the scale of y theaxis is set by . When t = 0.50 s, What is the displacement of the string particle at (a) x = 0.20 mand x = 0.30 m (b) x = 0.30 m? What is the transverse velocity of the string particle at x = 0.20 mat (c) t = 0.50 sand (d) t = 0.1 s ? (e) Sketch the standing wave atfor the range x = 0to x = 0.40 m.
A sinusoidal transverse wave is traveling along a string in the negative direction of an xaxis. Figure 16-25 shows a plot of the displacement as a function of position at time t=0; the scale of the y axis is set by . The string tension is 3.6N, and its linear density is 25 g/m. (a) Find the amplitude, (b) Find the wavelength, (c) Find the wave speed, and (d) Find the period of the wave. (e) Find the maximum transverse speed of a particle in the string. If the wave is of the form , (f) What is ,(g) What is , (h) What is , and (i) What is the correct choice of sign in front of ?
A sand scorpion can detect the motion of a nearby beetle (its prey) by the waves the motion sends along the sand surface (Figure). The waves are of two types: transverse waves traveling at and longitudinal waves traveling at . If a sudden motion sends out such waves, a scorpion can tell the distance of the beetle from the difference localid="1657274843608" in the arrival times of the waves at its leg nearest the beetle. If localid="1661230422984" , what is the beetle鈥檚 distance?
Use the wave equation to find the speed of a wave given in terms of the general function:
localid="1660990709658" .
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