Answer:
Explanation:
In an equilateral trinagle the center of mass is at 1/3 of the height and horizontally centered.
We can consider that the weigth applies a torque of T = W*b/2 on the right corner, being W the weight and b the base of the triangle.
The weigth depends on the size and specific gravity.
W = 1/2 * b * h * L * SG
Then
Teq = 1/2 * b * h * L * SG * b / 2
Teq = 1/4 * b^2 * h * L * SG
The water would apply a torque of elements of pressure integrated over the area and multiplied by the height at which they are apllied:
The term sin(30) is because of the slope of the wall
The pressure of water is:
p(y) = SGw * (h - y)
Then:
T1 = SGw * sin(30) * L * (h^2*y - h*y^2 + 1/3*y^3)(evaluated between 0 and h)
T1 = SGw * sin(30) * L * (h^2*h - h*h^2 + 1/3*h^3)
T1 = SGw * sin(30) * L * (h^3 - h^3 + 1/3*h^3)
T1 = 1/3 * SGw * sin(30) * L * h^3
To remain stable the equilibrant torque (Teq) must be of larger magnitude than the water pressure torque (T1)
1/4 * b^2 * h * L * SG > 1/3 * SGw * sin(30) * L * h^3
In an equilateral triangle h = b * cos(30)
1/4 * b^3 * cos(30) * L * SG > 1/3 * SGw * sin(30) * L * b^3 * (cos(30))^3
SG > SGw * 4/3* sin(30) * (cos(30))^2
SG > 1/2 * SGw
For the dam to hold, it should have a specific gravity of at leas half the specific gravity of water.
This is avergae specific gravity, including holes.
Answer:
#include <iostream>
#include <iomanip>
using namespace std;
int main(){
//declare arrays
string ItemName[100];
double ItemCost[100]={0.0};
//declare variable
string name="";
double Total=0.0;
int NumItems=0;
cout<<"Enter number of grocery item you will be entering";
cin>>NumItems
cout<<"\n";
if (NumItems>100)
{
cout<<"Enter grocery items less than 100"
cin>>NumItems
cout<<"\n";
}
for (int i=1;i>=NumItems;i++)
{
cout<<"Please enter the item name in one word only, Example: icecream\n";
cin>>ItemName[i]
cout<<"Please enter the cost as a decimal number, Example: 2.05\n\n";
cin>>ItemCost[i];
}
cout<<"Items"<<" "<<""$""<<"Cost"<<endl
for (int i=1;i>=NumItems;i++)
{
cout<<ItemName[i]<<" "<<"$"<<ItemCost[i]<<endl
}
for (int i=1;i>=NumItems;i++)
{
Total=Total+ItemCost[i];
}
cout<<"Total:$"<<Total<<endl;
system("PAUSE");
return 0;
}
Answer: Tl = - 13.3°C
the lowest outdoor temperature is - 13.3°C
Explanation:
Given that;
Temperature of Th = 21°C = 21 + 273 = 294 K
the rate at which heat lost is Qh = 5400 kJ/h°C
the power input to heat pump Wnet = 6 kw
The COP of a reversible heat pump depends on the temperature limits in the cycle only, and is determined by;
COPhp = Th/(Th - Tl)
COPhp = Qh/Wnet
Qh/Wnet = Th/(Th -Tl)
the amount of heat loss is expressed as
Qh = 5400/3600(294 - Tl)
the temperature of sink
( 5400/3600(294 - Tl)) / 6 = 294 / ( 294 - Tl)
now solving the equation
Tl = 259.7 - 273
Tl = - 13.3°C
so the lowest outdoor temperature is - 13.3°C
Answer:
import java.util.Scanner;
public class InputExample {
public static void main(String[] args) {
Scanner scnr = new Scanner(System.in);
int birthMonth;
int birthYear;
birthMonth = scnr.nextInt();
birthYear = scnr.nextInt();
System.out.println(birthMonth+"/"+birthYear);
}
}
import java.util.Scanner;
public class InputExample {
public static void main(String[] args) {
Scanner scnr = new Scanner(System.in);
int birthMonth;
int birthYear;
// Get input values for birthMonth and birthYear from the user
birthMonth = scnr.nextInt();
birthYear = scnr.nextInt();
// Output the month, a slash, and the year
System.out.println(birthMonth + "/" + birthYear);
}
}
When the program is tested with inputs 1 2000, the output will be:
1/2000
And when tested with inputs 5 1950, the output will be:
5/1950
Know more about java program:
#SPJ3
Answer:
558.1918 kilocalories = 558191.8 calories
Explanation:
Data provided in the question:
Atmospheric pressure = 84.6 KPa
Mass of water, m = 900 g = 0.90 kg
Temperature = 15°C
Now,
Temperature at 84.6 KPa = 94.77°C
Therefore,
Heat energy required = m(CΔT + L)
here,
C is the specific heat of the water = 4.2 KJ/kg.°C
L = Latent heat of water = 2260 KJ/kg
Thus,
Heat energy required = 0.90[ 4.2 × (94.77 - 15) + 2260 ]
= 2335.53 KJ
also,
1 KJ = 0.239 Kilocalories
Therefore,
2335.53 KJ = 0.239 × 2335.53 Kilocalories
= 558.1918 kilocalories = 558191.8 calories
Answer:
Explanation:
The concept of Hooke's law was applied as it relates to deformation.
The detailed steps and appropriate substitution is as shown in the attached file.
Answer:
The air heats up when being compressed and transefers heat to the barrel.
Explanation:
When a gas is compressed it raises in temperature. Assuming that the compression happens fast and is done before a significant amount of heat can be transferred to the barrel, we could say it is an adiabatic compression. This isn't exactly true, it is an approximation.
In an adiabatic transformation:
For air k = 1.4
SO
SInce it is compressing, the fraction P1/P0 will always be greater than one, and raised to a positive fraction it will always yield a number greater than one, so the final temperature will be greater than the initial temperature.
After it was compressed the hot air will exchange heat with the barrel heating it up.