Given that Young's modulus for aluminium is 7.0 x 10\(^{10}Nm^{-2}\) and density is 2.7 x 10\(^3\)kgm\(^{-3}\), find the speed of the sound produced if a solid bar is struck at one end with a hammer
A
5.1 x 103ms-1
B
4.2 x 103ms-1
C
3.6 x 103ms-1
D
2.8 x 103ms-1
Verified Correct Answer: A.
Physical Principles & Numerical Solution
The speed of sound in a material is given as:
V = \(\sqrt{\frac{E}{P}}\), Where
E = Young's modulus
P = Density
Therefore, V = \(\sqrt{\frac{7.0 \times 10^{10}}{2.7 \times 10^3}}\) = 5091.75
= 5.1 \(\times 10^3ms^{-1} \)
Source: Myschool Past Questions Archive (Record #41457)