Answer:
73.8 N
Explanation:
The total volume is,
V = [tex]\frac{m_Al}{P_Al} = \frac{m_copper}{P_copper}[/tex]
= [tex]\frac{10m}{(100)(2.6)} = \frac{90m}{(100)(8.9)}[/tex]
= 0.1396 m
The average density is,
[tex]p = \frac{m}{V}[/tex]
= [tex]\frac{m}{0.1396}[/tex]
= 7.169 g/cm³
The linear mass density is,
μ = pπr²
= (7.169 x 10⁹) (π (0.3 x 10⁻³)²)
= 2.026 x 10⁻³ Kg/m
The fundamental mode of length is,
L = λ/2
λ=2L
= 2 x 0.65
= 1.3 m
The speed of the wave is,
v = λf
= 1.3 m x 147 Hz
= 1.91 m/s
The tension is,
v = √T/ц
T = ц v²
= 2.026 x 10⁻³)(1.91 m/s)²
= 73.769N
73.8N
