Answer:
volume fraction of fibers is 0.4
Explanation:
Given that for the aligned carbon fiber-epoxy matrix composite:
Diameter (D) = 0.029 mm
Length (L) = 2.3 mm
Tensile strength (
) = 610 MPa
fracture strength (
) = 5300 MPa
matrix stress (
) = 17.3 MPa
fiber-matrix bond strength (
) = 19 MPa
The critical length is given as:

Since the critical length is greater than the length, the aligned carbon fiber-epoxy matrix composite can be produced.
The longitudinal strength is given by:

making Vf the subject of the formula:

Vf is the volume fraction of fibers.
Therefore:

volume fraction of fibers is 0.4
Answer:
- C. 1/4"
- B. 3/16"
Explanation:
1. For hex bolts, lag bolts, and square bolts, the wrench size is 1/4" larger than the bolt size for 1/2" and 9/16" bolts. For 5/8" bolts and larger, the wrench size is <em>50% larger than the bolt size</em>.
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2. For 7/16" bolts, the wrench size is 5/8", so is 3/16" larger than the bolt. This holds down to 1/4" bolts, where the wrench size may be 3/8" or 7/16".
Answer:
import java.util.Scanner;
public class FindMatchValue {
public static void main (String [] args) {
Scanner scnr = new Scanner(System.in);
final int NUM_VALS = 4;
int[] userValues = new int[NUM_VALS];
int i;
int matchValue;
int numMatches = -99; // Assign numMatches with 0 before your for loop
matchValue = scnr.nextInt();
for (i = 0; i < userValues.length; ++i) {
userValues[i] = scnr.nextInt();
}
/* Your solution goes here */
numMatches = 0;
for (i = 0; i < userValues.length; ++i) {
if(userValues[i] == matchValue) {
numMatches++;
}
}
System.out.println("matchValue: " + matchValue + ", numMatches: " + numMatches);
}
}
Answer with Explanation:
The relation between power and energy is

Since the nuclear reactor operates at 1200 MW throughout the year thus the energy produced in 1 year equals

Now from the energy mass equivalence we have

where
'c' is the speed of light in free space
Thus equating both the above values we get

Since it is given that 1 kg of mass is 34% effective thus the mass reuired for the reactor is

Thus 1.235 kg of nuclear fuel is reuired for operation.
Answer:
By running multiple regression with dummy variables
Explanation:
A dummy variable is a variable that takes on the value 1 or 0. Dummy variables are also called binary
variables. Multiple regression expresses a dependent, or response, variable as a linear
function of two or more independent variables. The slope is the change in the response variable. Therefore, we have to run a multiple regression analysis when the variables are measured in the same measurement.The number of dummy variables you will need to capture a categorical variable
will be one less than the number of categories. When there is no obvious order to the categories or when there are three or more categories and differences between them are not all assumed to be equal, such variables need to be coded as dummy variables for inclusion into a regression model.