1.An Object Oscillates with SHM According to the Equation X=2.0 Cos Πt Meters. Determine The

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1.An object oscillates with SHM according to the equation x=2.0 cos πt meters. Determine the

a)amplitude, frequency and period of the motion, b) displacement of the object at t=1/3 s.

a) 2.0 m; 1/2 Hz, 2.0 sec, b) x= 1.0 m

2.A simple pendulum is used in a physics laboratory experiment to obtain an experimental value for the gravitational acceleration. A particular student measures the length of the pendulum to be 0.510 meters, displaces it 10° from the equilibrium position, and releases it. Using a stopwatch, the student determines that the period of the pendulum is 1.44 s. Determine the experimental value of the gravitational acceleration. (g= 9.70 m/s2)

4.A sound wave has a frequency of 510 Hz. Determine the wave length of the sound produced as it passes through

a) air on a day when the speed of sound is 340 m/s,

b) water, given the bulk modulus of water is 2.0 x 109 N/m2, the density is 1.0 x 103 kg/m3.

a) .67 m, b) 2.75 m

5.When the tension is adjusted to 10.0 N, a 100 Hz vibration will produce a third harmonic standing wave in a string 200 cm long. Determine the

a) velocity of the waves in the string and

b) mass of the string.a) 133 m/s, b) 1.13 x 10-3 kg

6.A 1.0 gram steel wire 0.50 m long is under a tension of 9.8 N. Determine the

a) velocity of the transverse waves in the wire, a) 70 m/s, b) 70 Hz

b) frequency of vibration which will produce the first harmonic standing wave in the wire.

7.Determine the speed of sound in air at a) 0° C and b) 27° C.a) 331 m/s, b)347 m/s

8.An open pipe produces a third harmonic standing wave of frequency 1000 Hz at 20° C. Determine the length of the pipe. .515 m

9.A pipe 1.00 m long is closed at one end. A guitar is placed near the open end of the tube and the string is plucked. The guitar string is 0.50 meters long and has a mass of 0.0010 kg. The string vibrates in its fundamental mode (1st harmonic) and produces a 1st overtone (3rd harmonic) standing wave in the closed pipe. If the speed of sound is 340 m/s, determine the

a) Frequency of the sound produced by the air column, a) 256 Hz b) 130 N

b) tension in the guitar string. Hint: the frequency of the vibrating guitar string is the same as the frequency produced in the closed pipe.

10.A student strikes two tuning forks and hears 3 beats per second. He notes that 512 Hz is printed on one tuning fork. Determine the frequency of the other fork. 509 or 516 Hz

11.A stationary source emits sound of frequency 500 Hz on a day when the speed of sound is 340 m/s. A listener moves toward the source of sound at 40 m/s. Determine the

a) frequency heard by the listener, a) 560 Hz b) .68 m c) 441 Hz

b) wavelength of the sound between the source and the listener,

c) answer parts a and b if the listener was moving away from the source.

12.Determine the frequencies of the first two harmonics produced by an organ pipe 0.125 m long on a day when the speed of sound is 340 m/s, if the organ pipe is a) 1360 Hz and 2720 Hz

a) open at both ends, b) closed at one end.b) 680 Hz and 2040 Hz

13.Two point sources of sound are in phase and separated by a distance of 2.0 meters. The speed of sound is 340 m/s. A listener stands at point 5.0 meters along the center line which bisects a line connecting the two speakers. The listener then walks 0.50 meters perpendicular to the center line before locating a nodal point. Determine the wavelength and the frequency of the sound. .40 m & 850 Hz

14. A child whirls a toy at the end of a string in a circle of radius 2.0 meters at 2.0 rev/s. As the toy revolves, it makes a whistling sound of frequency 200 Hz. What are the maximum minimum frequencies heard by a stationary listener standing a distance away. (speed of sound is 340 m/s) 216 Hz & 186 Hz