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3 years ago

List the three main methods employed in dimensional analysis

Engineering

1 answer:

valina [46]3 years ago

8 0

Answer:

Rayleigh method, The Buckingham π Theorem, common pi group

Explanation:

Rayleigh method - The Rayleigh method is a basic technique for discovering a functional relationship in reference to a parameter of interest.

The dimensional analysis method describes a functional relationship between certain variables in context of an exponential equation

The Buckingham π Theorem The theorem notes that if a factor A1 relies on independent variable i.e. A2, A3,. An, functional bond can then be set to zero in the form f(A1, A2, A3,.–, An)= 0. If all these n parameters can be defined as m dimensional units, the pi (π) theorem states that they are grouped in respect of n-m dimensional.

There are some common pi group method which are based on Buckingham π theorem.

They are named as froude number, Reynold's number, weber number etc.

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Carbon dioxide contained in a piston–cylinder device is compressed from 0.3 to 0.1 m3. During the process, the pressure and volu

Lunna [17]

Answer:

$W = -6.5 Kpa m^6 (\frac{1}{0.1 m^3}- \frac{1}{0.3 m^3})= -6.5 Kpa m^6 (6.66 m^-3) =-43.33 Kpa m^3 = -43.33 KJ$

Explanation:

For this case we know the following info :

$V_i = 0.3 m^3$ represent the initial volume

$V_f = 0.1 m^3$ represent the final volume

We know that the pressure and volume are related with the following expression:

$P = aV^{-2}= \frac{a}{V^2}$

Where a is a constant given $a = 6.5 Kpa m^6$

And we need to calculate the work associated to this process.

We have a compression, and by definition the work is defined with the following general expression:

$W = \int_{V_i}^{V_f} P dV$

If we replace the expression for P we got:

$W = \int_{V_i}^{V_f} a V^{-2} dV$

If we integrate we got:

$W = -a (\frac{1}{V}) \Big|_{V_i}^{V_f}$

Using the fundamental theorem of calculus we have:

$W = -a (\frac{1}{V_f} -\frac{1}{V_i})$

And replacing the values we got:

$W = -6.5 Kpa m^6 (\frac{1}{0.1 m^3}- \frac{1}{0.3 m^3})= -6.5 Kpa m^6 (6.66 m^-3) =-43.33 Kpa m^3 = -43.33 KJ$

5 0

4 years ago

The design product will be a description of the most efficient thermodynamic cycle required to supply 750 MW of electric power.

vlabodo [156]

Answer:

I'm 50s I be sliding on them crabs and we be posting 5 inta a Snapple

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2 years ago

Write a simple calculator program. Your program should ask for three things two whole numbers and an operator in the form of an

vekshin1

Answer:

The solution code is written in Java.

Scanner input = new Scanner(System.in);
System.out.print("Enter operator: ");
String operator = input.nextLine();
System.out.print("Enter first integer: ");
int num1 = input.nextInt();
System.out.print("Enter second integer: ");
int num2 = input.nextInt();
int result = 0;
switch(operator){
case "+":
result = num1 + num2;
break;
case "-":
result = num1 - num2;
break;
case "*":
result = num1 * num2;
break;
case "/":
result = num1 / num2;
break;
default:
System.out.println("Invalid operator");
}
System.out.println(result);

Explanation:

To ask for the user input for two whole numbers and an operator, we can use Java Scanner class object. Since the input operator is a string, we can use nextLine() method to get the operator string (Line 3). We use nextInt() method to get whole number input (Line 5 & 7).

Next we use the switch keyword and pass the operator into the switch structure to determine which case statement should be executed. For example, if the input operator is "*" the statement "result = num1 * num2; " will run and multiply num1 with num2.

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4 years ago

Diana and Kinsey are put in charge of choosing a mascot for their basketball team. There are fifteen players on the team, but Di

arsen [322]

Answer:

the data are inadequate

Explanation:

If there are 15 people on the team, and only five have been asked about the mascot, this means the data collecting is wrong, and the result doesn’t include thoughts of the majority. If Diana and Kinsey want to have adequate data, they should ask as many as possible, if not all players in the team. This would truly show what the majority wants meaning it will show what the team wants. This kind of complete data correcting is the correct one.

6 0

3 years ago

Where did fossil fuels come from

Levart [38]

Any fuel such as coal, petroleum (crude oil) or natural gas that has developed within the Earth over millions of years from the decayed remains of bacteria, plants or animals

6 0

3 years ago

Read 2 more answers