Chapter 5, Problem 5.14P

(a)

Interpretation Introduction

Interpretation:

The pressure change in air at the standard conditions is to be determined for the given change of velocity.

Concept Introduction:

The speed of shock wave in the previous linked question is approximated as the speed of sound in air.

The change in pressure of air due to the given change in velocity is given as,

  $\text{ΔP}\text{=}{\text{ρv}}_{\text{c}}{\text{v}}_{\text{a}}$   ..... (1)

  $\text{ΔP}$ = Pressure change

  ${\text{v}}_{\text{c}}$ = Change in velocity

  ${\text{v}}_{\text{a}}$ = Velocity of sound in air

  $\text{ρ}$ = Density of air

(b)

Interpretation Introduction

Interpretation:

The pressure change in water at the standard conditions is to be determined for the given change of velocity.

Concept Introduction:

The speed of shock wave in the previous linked question is approximated as the speed of sound in water.

The change in pressure of water due to the given change in velocity is given as,

  $\text{ΔP}\text{=}{\text{ρ}}_{\text{w}}{\text{v}}_{\text{c}}{\text{v}}_{\text{w}}$   ..... (2)

  $\text{ΔP}$ = Pressure change

  ${\text{v}}_{\text{c}}$ = Change in velocity

  ${\text{v}}_{\text{w}}$ = Velocity of sound in water

  ${\text{ρ}}_{\text{w}}$ = Density of water