Oscillations & Traveling Waves: How long is the string?

In summary, the length of a string can be measured by using a ruler or measuring tape to measure the distance from one end of the string to the other end. It also affects its oscillation frequency and the speed of a traveling wave indirectly by changing the wavelength. A string cannot have an infinite length in real-life situations, but in theoretical scenarios, it can. Additionally, the fundamental frequency of a string is directly related to its length, with longer strings having a lower fundamental frequency due to their longer wavelength.
  • #1
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Homework Statement



A 111g ball is tied to a string. It is pulled to an angle of 4.40 Degrees and released to swing as a pendulum. A student with a stopwatch finds that 17 oscillations take 19.0s.
How long is the string?

Homework Equations



T = 2π√(L/g)

The Attempt at a Solution



Period T = 19/17 = 1.118s

g = 9.8m/s2

1.118/2π = √L/g
0.1779 = √L/g
0.0316 = L/g

L = 0.3101cm

This is wrong, someone please tell me my mistake.
 
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  • #2
Keep track of units, you'll find it.
 

FAQ: Oscillations & Traveling Waves: How long is the string?

1. How do you measure the length of a string?

The length of a string can be measured by using a ruler or measuring tape to measure the distance from one end of the string to the other end.

2. Does the length of a string affect its oscillation frequency?

Yes, the length of a string does affect its oscillation frequency. The longer the string, the lower the frequency of oscillation, and vice versa. This relationship is known as the inverse relationship between length and frequency.

3. How does the length of a string impact the speed of a traveling wave?

The length of a string does not directly impact the speed of a traveling wave. The speed of a wave is determined by the tension and density of the string, not its length. However, the length of the string can indirectly affect the speed by changing the wavelength of the wave.

4. Can a string have an infinite length?

No, a string cannot have an infinite length. In real-life situations, the length of a string is limited by practical considerations such as the availability of materials and the ability to maintain tension. However, in theoretical scenarios, the length of a string can be infinitely long.

5. How does the length of a string impact the fundamental frequency?

The fundamental frequency of a string is directly related to its length. The longer the string, the lower the fundamental frequency, and vice versa. This is because a longer string has a longer wavelength, resulting in a lower frequency of oscillation.

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