Answer:
Explanation:
Assuming this problem: "Carbon dioxide enters an adiabatic nozzle at 1200 K with a velocity of 50 m/s and leaves at 400 K. Assuming constant specific heats at room temperature, determine the Mach number (a) at the inlet and (b) at the exit of the nozzle. Assess the accuracy of the constant specific heat assumption."
Part a
For this case we can assume at the inlet we have the following properties:
We can calculate the Mach number with the following formula:
Where k represent the specific ratio given k =1.288 and R would be the universal gas constant for the carbon diaxide given by:
And if we replace we got:
Part b
For this case we can use the same formula:
And we can obtain the value of v2 from the total energy of adiabatic flow process, given by this equation:
The value of and the value fo T2 = 400 K so we can solve for and we got:
And now we can replace on this equation:
And we got:
Answer:
Here's what I think,
A_Trigonometric_ratio (whatever)
The general form of sin/cos/tan(angle).
So here as in the general form the "whatever" is always an "angle" input which (may sound a bit unfair but) is a dimensionless quantity.
As mentioned in your question,
F= Asin(Bt) + C cos (Dy)
Dimentions of these terms will be same (by homogenity of dimensions).
So what we gotta do here is make Bt and Dy dimensionless for this whole equation to work.
According to your question t is time,
So to make Bt dimensionless,
B must be equal to inverse of time i.e T^(-1)
Using the same process on Dy, gives inverse of length i.e L^(-1)
So,
B= M^(0)L^(0)T^(-1)
D = M^(0)L^(-1)T^(0)
The dimension of D/B then will be M^(0)L^(-1)T^(1)
Explanation:
the physical properties and phenomena of something