Question

Consider a convergent-divergent duct with exit and throat areas of 0.5 m2 and 0.25 m2 , respectively. The inlet reservoir pressure is 1 atm and the exit static pressure is 0.6 atm. For this pressure ratio, the flow will be supersonic in a portion of the nozzle, terminating with a normal shock inside the nozzle. Calculate the local area ratio (A/A*) at which the shock is located inside the nozzle.

Answer 1

Answer:-

the required answer is 100 m/s

GIVEN:

acceleration, a= 10 m/s^2

time , t= 10 s

TO FIND:

velocity, v

THREE EQUATIONS OF MOTION:

FIRST EQUATION:

V = u + at

SECOND EQUATION:

s = ut + (1/2)at^2

THIRD EQUATION:

V^2 - v^2 =2as

KEYS:

v.......final velocity

u...... initial velocity

a..... acceleration

t........time

s...... displacement

SOLUTION:

since there is no information available regarding intial velocity, consider the initial velocity u = 0

apply first equation of motion,

$\begin{gathered}v = u + at \\ \\ v = 0 + (10)(10) \\ \\ v = 0 + 100 \\ \\ v = 100 \: m /s \end{gathered}$

the increased velocity is 100 m/s.

ADDITIONAL:

in vertical motion ,the acceleration due to gravity comes into play.

in the three equations of motion , acceleration of the body will be replaced by acceleration due to gravity, g