Question

A particle is going into a nozzle at 10 m/s and then after 3m the particle is slowing down to 2 m/s. The particle travels through a straight path down the middle of the nozzle. How do you find average acceleration using eularian and then Lagrangian view point.

Answer 1

`a = -16 m/s^2`

Step-by-step explanation:

As we know that the initial speed of the particle when it enters the nozzle is given as

`v_i = 10 m/s`

after travelling the distance d = 3 m it will have its final speed as

`v_f = 2 m/s`

now we know that when acceleration is constant the equation of kinematics is applicable

so we will have

`v_f^2 - v_i^2 = 2 a d`

`2^2 - 10^2 = 2(a)(3)`

`a = -16 m/s^2`