Question

A wire of density p is tapered so that its cross-sectional area varies with x according to

Answer 1

The wave speed at the origin is v = 8.31 m/s

Given data

A=1.00× 10⁻⁵ x + 1.00× 10⁻⁶

A is in meters squared and x is in meters

tension in the wire is T

T = 24.0

x = 10.0m

density of aluminum = 2700

calculating for the speed of the wave at the origin

wave speed  = v = sqrt ( T /  mass per unit length)

mass per unit length = m / L

density = m / v

volume = v = A  * L

density  * A = m / L

wave speed  = v = sqrt ( T /  density  * A )

v = sqrt ( 24 / ( 2700 * .00× 10⁻⁵ x + 1.00× 10⁻⁶ ) )

v = 8.31 m/s

Read more on speed of wave here: brainly.com/question/12969690

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