Have to figure out 1 before 2 and don't know were to start?
1)The tension in the above string is 84.0 N. Calculate the mass of a 3 m long piece of the steel string.
2)Find the wavelength of the third harmonic of the guitar string described in the problem before last. Find answer in meters
1: You can't do this unless you have more information. Just putting tensionon a string does not change its mass.
To solve the given problems, you need to have knowledge of the relevant formulas and apply them correctly. Let's break down each problem and explain how to approach it.
1) Calculating the mass of a steel string:
To find the mass of a steel string, we can use the formula:
mass = tension / (acceleration due to gravity * length)
Given:
tension = 84.0 N
length = 3 m
The acceleration due to gravity is approximately 9.8 m/s^2. Substituting these values into the formula, we get:
mass = 84.0 N / (9.8 m/s^2 * 3 m)
= 2.86 kg (approx.)
Therefore, the mass of the 3 m long steel string is approximately 2.86 kg.
2) Finding the wavelength of the third harmonic of a guitar string:
To find the wavelength of the third harmonic, we can use the formula:
wavelength = 2 * length / harmonic number
Given:
length (same as before) = 3 m
harmonic number = 3
Substituting these values into the formula, we get:
wavelength = 2 * 3 m / 3
= 2 m
Therefore, the wavelength of the third harmonic of the guitar string is 2 meters.
By following these steps and using the appropriate formulas, you should be able to find the answers to these problems. Remember to double-check your calculations and make sure you understand the formulas and concepts involved.