A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.800 m and a mass of 6.00 g. Part A What is the frequency fi of the string's fundamental mode of vibration? Express your answer numerically in hertz using three significant figures. • View Available Hint(s) ? f = Hz Submit Part B What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f = 16 kHz? Express your answer exactly. • View Available Hint(s) ΑΣφ ? n =
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
![A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.800 m and a mass of 6.00 g.
### Part A
What is the frequency \( f_1 \) of the string's fundamental mode of vibration?
**Express your answer numerically in hertz using three significant figures.**
- **Input Box:**
- \( f_1 = \) [ ] Hz
- **Submit Button**
### Part B
What is the number \( n \) of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to \( f = 16 \) kHz?
**Express your answer exactly.**
- **Input Box:**
- \( n = \) [ ]
- **Submit Button**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54a9d33b-c075-4af5-8013-3f49004b10ba%2F7cc488ff-9b26-449f-818e-d0f535b94e6a%2Fauqkuzp_processed.png&w=3840&q=75)
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