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Vaselesa [24]
3 years ago
11

“ROUGH

Engineering
1 answer:
lakkis [162]3 years ago
6 0

The road is in poor condition, slow down.

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Find the phasor form of:
mixer [17]

Answer:

I=24.598\angle 50.377

Explanation:

A tension or current expressed in cosine form and with a positive sign can be converted directly into a phasor. This is done by indicating the tension and the offset angle:

Acos(10\omega t +\phi)=A\angle \phi

So:

i(t)=10cos(10t+63)+15cos(10t-42)=10\angle 63 + 15\angle42=I

You can sum the phasors simply using a calculator, however, let's do it manually:

Let's find the rectangular form of each phasor using the next formulas:

A=\sqrt{a^2+b^2} \\\phi=arctan(\frac{b}{a})

For 10\angle 63

63=arctan(\frac{b}{a} )\\\\tan(63)=\frac{b}{a} \\\\b=a*tan(63)

10=\sqrt{a^2+(a*tan(63))^2} \\\\10^2=a^2+a^2*(tan(63))^2\\\\Solving\hspace{3}for\hspace{3}a\\\\a=\sqrt{\frac{100}{1+tan(63)^2} } =4.539904997\\\\and\hspace{3}b\\b=\sqrt{100-a^2} =8.910065242

So:

Z_1=a+bj=4.539904997+8.910065242j

For 15\angle 42

42=arctan(\frac{b_2}{a_2} )\\\\tan(42)=\frac{b_2}{a_2} \\\\b_2=a_2*tan(42)

15=\sqrt{a_2^2+(a_2*tan(42))^2} \\\\15^2=a_2^2+a_2^2*(tan(42))^2\\\\Solving\hspace{3}for\hspace{3}a_2\\\\a_2=\sqrt{\frac{225}{1+tan(42)^2} } =11.14717238\\\\and\hspace{3}b_2\\\\b_2=\sqrt{225-a^2} =10.0369591

So:

Z_2=a_2+b_2j=11.14717238+10.0369591j

Hence:

Z_T=Z_1+Z_2=(4.539904997+11.14717238)+(8.910065242+10.0369591)j\\Z_T=15.68707738+18.94702434j

Finally:

I=\sqrt{15.68707738^2+18.94702434^2} \angle arctan (\frac{18.94702434}{15.68707738} )=24.598\angle 50.377

7 0
3 years ago
Technician A says some coolant recovery systems are pressurized. Technician B says the coolant recovery system is used to keep a
Digiron [165]

Answer: Technician A

Explanation: A coolant recovery system Is one of the most important part of a vehicles cooling system. When a coolant gets too hot, it forces it way out of the spring loaded radiator cap so as to relieve pressure. Any coolant which has escaped is recovered back through the discharge tube located in the recovery tank. The system is usually air free

8 0
3 years ago
Which process must first take place in order for the proteins in foods to be used by body cells?
barxatty [35]

Answer:

Digestion

1 is correct since you need to eat something before anything else.

2 is incorrect since if this was first, what are you storing?

3 is incorrect since that is the second thing you need to do.

4 is incorrect since that is the last thing to do.

5 0
3 years ago
Sedimentary rock forms at or near the
Natalija [7]
I believe it’s A bit I. could be wrong
5 0
3 years ago
Read 2 more answers
Exercise 5.46 computes the standard deviation of numbers. This exercise uses a different but equivalent formula to compute the s
ruslelena [56]

Answer:

// This program is written in Java Programming Language

// Comments are used for explanatory purpose

// Program starts here

import java.util.Scanner;

public class STDeviation {

// Declare and Initialise size of Numbers to be 10

int Numsize = 10;

public static void main(String args [] ) {

Scanner scnr = new Scanner(System.in);

// Declare digits as double

double[] digits = new double[Numsize];

System.out.print("Enter " + Numsize + " digits: ");

// Input digits using iteration

for (int i = 0; i < digits.length; i++)

{

digits[i] = scnr.nextDouble();

}

// Calculate and Print Mean/Average

System.out.print("Average: " + mean(digits)+'\n');

// Calculate and Print Standard Deviation

System.out.println("Standard Deviation: " + deviation(digits));

}

// Standard Deviation Module

public static double deviation(double[] x) {

double mean = mean(x);

// Declare and Initialise deviation to 0

double deviation = 0;

// Calculate deviation

for (int i = 0; i < x.length; i++) {

deviation += Math.pow(x[i] - mean, 2);

}

// Calculate length

int len = x.length - 1;

return Math.sqrt(deviation / len);

}

// Mean Module

public static double mean(double[] x) {

// Declare and Initialise total to 0

double total = 0;

// Calculate total

for (int i = 0; i < x.length; i++) {

total += x[i];

}

// Calculate length

int len = x.length;

// Mean = total/length

return total / len;

}

}

4 0
3 years ago
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