Exam 16: Wave Motion

Exhibit 16-3 Four wave functions are given below. I.y(x, t) = 5sin(4x - 20t + 4) II.y(x, t) = 5sin(3x - 12t + 5) III.y(x, t) = 5cos(4x + 24t + 6) IV.y(x, t) = 14cos(2x - 8t + 3) Use this exhibit to answer the following question(s). -Refer to Exhibit 16-3. Rank the wave functions in order of the magnitude of the wave speeds, from least to greatest.

For the wave described by , determine the x coordinate of the second maximum when t = 0.

Earthquake waves are classified as P waves and S waves. Which of the following statements is true about these waves?

For the wave described by , determine the first positive x coordinate where y is a maximum when t = 0.

A 100-m long transmission cable is suspended between two towers. If the mass density is 2.01 kg/m and the tension in the cable is 3.00 × 10⁴ N, what is the speed of transverse waves on the cable?

A circus performer stretches a tightrope between two towers. He strikes one end of the rope and sends a wave along it toward the other tower. He notes that it takes 0.8 s for the wave to travel the 20 m to the opposite tower. If one meter of the rope has a mass of 0.35 kg, find the tension in the tightrope.

It is possible to hear an approaching train before you can see it by listening to the sound wave through the track. If the elastic modulus is 2.0 × 10¹¹ N/m² and the density of steel is 7.8 × 10³ kg/m³, approximately how many times faster is the speed of sound in the track than in air? (v_air ≈ 340 m/s.)

The variation in the pressure of helium gas, measured from its equilibrium value, is given by ΔP = 2.9 × 10−⁵ cos (6.20x − 3 000t) where x and t have units m and s, and ΔP is measured in N/m². Determine the wavelength (in m) of the wave.

If y = 0.02 sin (30x − 400t) (SI units), the angular frequency of the wave is

To decrease the intensity of the sound you are hearing from your speaker system by a factor of 36, you can

A spherical wave has the form . The velocity of the wave (in m/s) is

A boy has climbed to the top of a 6.00 m tall tree. When he shouts, the sound waves have an intensity of at a 1.00 m distance from the top of the tree. The ratio of intensity at the base of the tree to the intensity 1.00 m from the top of the tree is

The lowest A on a piano has a frequency of 27.5 Hz. If the tension in the 2.00-m string is 308 N, and one-half wavelength occupies the string, what is the mass of the wire?

By what factor is the intensity of sound at a rock concert louder than that of a whisper when the two intensity levels are 120 dB and 20 dB respectively?

A truck moving at 36 m/s passes a police car moving at 45 m/s in the opposite direction. If the frequency of the siren is 500 Hz relative to the police car, what is the change in frequency (in Hz) heard by an observer in the truck as the two vehicles pass each other? (The speed of sound in air is 343 m/s.)

A car moving at 36 m/s passes a stationary police car whose siren has a frequency of 500 hz. What is the change in the frequency (in Hz) heard by an observer in the moving car as he passes the police car? (The speed of sound in air is 343 m/s.)

Suppose that you were selected for a "Survivor"-type TV show. To help keep your group connected, you suggest that long vines can be tied together and used to transmit signals in cases of emergency. To get the signals to travel faster, you should

If y = 0.02 sin (30x − 400t) (SI units), the wavelength of the wave is

For the wave described by y = 0.02 sin (kx) at t = 0 s, the first maximum at a positive x coordinate occurs where x = 4 m. Where on the positive x axis does the second maximum occur?

You are holding on to one end of a long string that is fastened to a rigid steel light pole. After producing a wave pulse that was 5 mm high and 4 cm wide, you want to produce a pulse that is 6 cm wide but still 5 mm high. You must move your hand up and down once,