Answer:
1) Mass of the string = 0.0267kg
Step-by-step explanation:
1) In the above question, we are given:
Length of guitar string = 60cm
Wave speed = 30.0m/s
Tension = 50N
9.81 N = 1 kg
50N = 50/9.81
= 5.10kg
We have the formula
v = √(F/μ)
Where F = the tension in the string in newtons,
v = the wave speed in m/s
μ = the mass per unit length of the string in kg/m
The formula for μ is derived as
v = √(F/μ)
Square both sides
v² = [√(F/μ)]²
v² = F/μ
μ = F/v²
From the question,
μ = 40/ 30.0²
μ = 0.044kg/m
To calculate the mass of the string we use the formula
μ = Mt / Lt = total mass/total length.
Total length = 60cm
In meters = 0.60m
0.044kg/m = Mt/ 0.60m
Mt = 0.0266666667kg
Mass of the string = Approximately 0.0267kg
2)