Question

Suppose the rod is made of aluminum, diameter 2 cm and length 65 cm.
If the maximum amplitude was found to be at ~4.0 kHz, calculate the speed of sound in aluminum

Answer 1

The speed of sound in aluminum is 5091.75 m/s.

Explanation:

Given that,

Diameter = 2 cm

Length = 65 cm

Amplitude = 4.0 kHz

We need to calculate the speed of sound in aluminum

Using formula of speed

$v=\sqrt{\dfrac{Y}{\rho}}$

Where, Y = young modulus of aluminum

$\rho$ = density of aluminum

Put the value into the formula

$v=\sqrt{\dfrac{7\times10^{10}}{2700}}$

$v=5091.75\ m/s$

Hence, The speed of sound in aluminum is 5091.75 m/s.

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Topic : speed of sound in aluminum

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