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Sliva [168]
3 years ago
14

The flatbed truck carries a large section of circular pipe secured only by the two fixed blocks A and B of height h. The truck i

s in a left turn of radius rho. Determine the maximum speed for which the pipe will be restrained. Use the values rho = 60 m, h = 0.1 m, and R = 0.8 m.
Engineering
2 answers:
zalisa [80]3 years ago
6 0

Answer:

The maximum speed for which the pipe will be restrained is 18.05 m/s.

Explanation:

We note that the

Securing blocks have height, h = 0.1 m

The radius of travel, rho = 60 m

The radius of the circular pipe, R = 0.8 m

We note that the weight of the pipe is acting at the centroid of the pipe

Therefore, for the pipe to slip, it has to climb the wedge h

Taking moments about h, we have  

mg × R sin α = ma × R cos α  

a/g  =  Tan α

But a = \frac{V^{2} }{rho}

Therefore  \frac{V^{2} }{rho} = g tanα

Since height of the block, h = 0.1 m therefore,

R cos α = R - h

That is 0.8 cos α = 0.8 - 0.1 = 0.7

Therefore α = cos⁻¹ (0.7/0.8) = 28.96 °

From which V² = rho × g× tanα = 60 × 9.81 × tan 28.96

= 325.66 m²/s²

∴ V = √(325.66 m²/s²)  = 18.05 m/s

Maximum speed = 18.05 m/s.

garik1379 [7]3 years ago
6 0

Answer:

The maximum speed is 18.1 m/s

Explanation:

the angle made by the line of action of reaction forces and normal reaction with the center is equal to:

\alpha =cos^{-1}(\frac{R-h}{R})

If R=0.8 m and h=0.1 m, we have:

\alpha =cos^{-1}(\frac{0.8-0.1}{0.8})=29

the equilibrium of forces acting in y-direction is zero and we have the following:

Fy=0\\R_{B}^{2}cos\alpha  -mg=0

Clearing RB:

R_{B}=\frac{mg}{cos\alpha }

where RB is reaction force on the ring and m is the mass of circular ring

the equilibrium of forces acting in n-direction is equal to:

Fn=0\\R_{B}sin\alpha  =m\frac{v^{2} }{p}

where p is the radius and v is the speed. if RB=mg/cosα

v^{2}=pgtan\alpha

Replacing values:

v^{2}=60*9.8*tan29\\v=18.1 m/s

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The relationship between power, energy, and time can be described by the following equation : P = Δ E s y s Δ t. P is the average power output, measured in watts (W) ΔEsys is the net change in energy of the system in joules (J) - also known as work. Δt is the duration - how long the energy use takes - measured in seconds (s).

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The mechanical properties of a metal may be improved by incorporating fine particles of its oxide. Given that the moduli of elas
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Answer:

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B) Lower bound modulus of elasticity; E = 83.09 GPa

Explanation:

A) Formula for upper bound modulus is given as;

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We are given;

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B) Formula for lower bound modulus is given as;

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3 0
3 years ago
Methane gas is 304 C with 4.5 tons of mass flow per hour to an uninsulated horizontal pipe with a diameter of 25 cm. It enters a
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Answer:

a) h_c = 0.1599 W/m^2-K

b) H_{loss} = 5.02 W

c) T_s = 302 K

d) \dot{Q} = 25.125 W

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Non horizontal pipe diameter, d = 25 cm = 0.25 m

Radius, r = 0.25/2 = 0.125 m

Entry temperature, T₁ = 304 + 273 = 577 K

Exit temperature, T₂ = 284 + 273 = 557 K

Ambient temperature, T_a = 25^0 C = 298 K

Pipe length, L = 10 m

Area, A = 2πrL

A = 2π * 0.125 * 10

A = 7.855 m²

Mass flow rate,

\dot{ m} = 4.5 tons/hr\\\dot{m} = \frac{4.5*1000}{3600}  = 1.25 kg/sec

Rate of heat transfer,

\dot{Q} = \dot{m} c_p ( T_1 - T_2)\\\dot{Q} = 1.25 * 1.005 * (577 - 557)\\\dot{Q} = 25.125 W

a) To calculate the convection coefficient relationship for heat transfer by convection:

\dot{Q} = h_c A (T_1 - T_2)\\25.125 = h_c * 7.855 * (577 - 557)\\h_c = 0.1599 W/m^2 - K

Note that we cannot calculate the heat loss by the pipe to the environment without first calculating the surface temperature of the pipe.

c) The surface temperature of the pipe:

Smear coefficient of the pipe, k_c = 0.8

\dot{Q} = k_c A (T_s - T_a)\\25.125 = 0.8 * 7.855 * (T_s - 298)\\T_s = 302 K

b) Heat loss from the pipe to the environment:

H_{loss} = h_c A(T_s - T_a)\\H_{loss} = 0.1599 * 7.855( 302 - 298)\\H_{loss} = 5.02 W

d) The required fan control power is 25.125 W as calculated earlier above

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enyata [817]

Answer:

Check the explanation

Explanation:

#include <iostream>

using namespace std;

void insert(int* arr, int* size, int value, int position){

if(position<0 || position>=*size){

cout<<"position is greater than size of the array"<<endl;

return ;

}

*size = *size + 1 ;

for(int i=*size;i>position;i--){

arr[i] = arr[i-1];

}

arr[position] = value ;

}

void print(int arr[], int size){

for(int i=0;i<size;i++){

cout<< arr[i] <<" ";

}

cout<<" "<<endl;

}

void remove(int* arr, int* size, int position){

* size = * size - 1 ;

for(int i=position;i<*size;i++){

arr[i] = arr[i+1];

}

}

int count(int arr[], int size, int target){

int total = 0 ;

for(int i=0;i<size;i++){

if(arr[i] == target)

total += 1 ;

}

return total ;

}

int main()

{

int size;

cout<<"Enter the initial size of the array:";

cin>>size;

int arr[size],val;

cout<<"Enter the values to fill the array:"<<endl;

for(int i=0;i<size;i++){

cin>>val;

arr[i] = val ;

}

int choice = 5,value,position,target ;

do{

cout<<"Make a selection:"<<endl;

cout<<"1) Insert"<<endl;

cout<<"2) Remove"<<endl;

cout<<"3) Count"<<endl;

cout<<"4) Print"<<endl;

cout<<"5) Exit"<<endl;

cout<<"Choice:";

cin>>choice;

switch(choice){

case 1:

cout << "Enter the value:";

cin>>value;

cout << "Enter the position:";

cin>>position;

insert(arr,&size,value,position);

break;

case 2:

cout << "Enter the position:";

cin>>position;

remove(arr,&size,position);

break;

case 3:

cout<<"Enter the target value:";

cin>>target;

cout <<"The number of times "<<target<<" occured in your array is:" <<count(arr,size,target)<<endl;

break;

case 4:

print(arr,size);

break;

case 5:

cout <<"Thank you..."<<endl;

break;

default:

cout << "Invalid choice..."<<endl;

}

}while(choice!=5);

return 0;

}

Kindly check the attached images below for the code output.

3 0
3 years ago
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