Air flows from a large reservoir in which the pressure and temperature are 1 MPa and 30°C, respectively, through a convergent–di
2 answers:
Answer:
The back pressure for a normal shock to appear at the exit to the duct is 375.959 kPa
Explanation:
Here we have
A₁/A* = 3 = Which gives
Mₐ₁ = 2.637
P₀₁ = = 1 MPa
∴ P₁ = 47298.69 Pa
P₂/P₁ shock = = 7.949
∴ P₂ = 47298.69 Pa× 7.949 = 375959.457 Pa
Therefore, for a normal shock to appear at the exit to the duct we have the back pressure = 375959.457 Pa = 375.959 kPa
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a.
y[n] = x[n] x[n-1] x[n+1]
(i) Memory-less - It is not memory-less because the given system is depend on past or future values.
(ii) Causal - It is non-casual because the present value of output depend on the future value of input.
(iii) Invertible - It is invertible and the inverse of the given system is
(iv) Stable - It is stable because for all the bounded input, output is bounded.
(v) Time invariant - It is not time invariant because the system is multiplying with a time varying function.
b.
y[n] = cos(x[n])
(i) Memory-less - It is memory-less because the given system is not depend on past or future values.
(ii) Causal - It is casual because the present value of output does not depend on the future value of input.
(iii) Invertible - It is not invertible because two or more than two input values can generate same output values .
For example - for x[n] = 0 , y[n] = cos(0) = 1
for x[n] = 2 , y[n] = cos(2
) = 1
(iv) Stable - It is stable because for all the bounded input, output is bounded.
(v) Time invariant - It is time invariant because the system is not multiplying with a time varying function.
Answer:
attached below
Explanation:
