Geography, asked by leelavathy6008, 1 month ago

the distance between the two pressure sensors in shock tube is 150mm the time taken by a shock wave to travel this distance 0.3mili second if the velocity of sound under same conditions is 340m/s find the mac number of shock wave

Answers

Answered by NIKASTHEEMPORER

425 is the answerrrrrrr

Answered by Laxmipriyas007

Answer:

The Mach number of the shock wave is 1.47.

Explanation:

Given:

The distance between the two pressure sensors in the shock tube is 150mm. i.e.,

Distance, d = 150 mm = $150 \times 10^{-3}$ m

The time taken by a shock wave to travel this distance is 0.3 milliseconds.

Time, t = 0.3 ms = 0.3 × 10⁻³ s

The velocity of sound under the same conditions is

Velocity of sound, v = 340 m/s

To find:

The Mach number of the shock wave.

Let 'u' be the velocity of the fluid.

The velocity of the fluid,

Shock velocity, u = distance / time

u = $\frac{(150 \times 10^{-3} m)}{ (0.3 \times 10^{-3} s)}$ = 500

Mach number is the ratio of the velocity of a fluid to the velocity of sound in the fluid given.

Mach number = $\frac{u}{v}$

Mach number = $\frac{500}{340}$ = 1.47

Hence, the Mach number of the shock wave is 1.47.