Answer:
E = 8.83 kips
Explanation:
First, we determine the stress on the rod:

where,
σ = stress = ?
F = Force Applied = 1300 lb
A = Cross-sectional Area of rod = 0.5
Therefore,

Now, we determine the strain:

Now, the modulus of elasticity (E) is given as:

<u>E = 8.83 kips</u>
Answer:
A single force, which is acting at angle θ from a horizontal axis, can be resolved into components which act along the perpendicular axis.
Consider the perpendicular axis x and y, where x represents the horizontal axis and y represents vertical axis.
The Force is resolved into 2 parts, one acts along x-axis and is represent by X. The other acts along y-axis and is represented by Y.
From the diagram we can see that the Force and its components X and Y makes up a right angles triangle, where θ is the angle from the x-axis
<h3 /><h3>Find X:</h3>
We know that:
cosθ = Base/Hypotenuse
cosθ = X/F
X = Fcosθ
<h3>Find Y:</h3>
We know that:
sinθ = Perpendicular/Hypotenuse
sinθ = Y/F
Y = Fsinθ
<h3>Relation of Force and its Components:</h3>
Force F can be represent by:
F = Fcosθ (along x-axis) + Fsinθ (along y-axis)
As they form a right angled triangle, we can use Pythagoras Theorem to show the relation between Force and its components.
Hypotenuse² = Base² + Perpendicular²
F² = X² + Y²
F² = (Fcosθ)² + (Fsinθ)²

Where θ can be found by using any of the trignometric functions.
Answer:
10.203 Volts
Explanation:
For this problem, we need to understand that a series resistive circuit is simply a circuit with some type of voltage source and some resistors, in this case, R1 and R2.
First, we need to find the voltage in the circuit. To do this, we need to find the total resistance of the circuit. When two resistors are in series, you sum the resistance. So we can say the following:
R_Total = R1 + R2
R_Total = 570 Ω + 560 Ω
R_Total = 1130 Ω
Now that we have R_Total for the circuit, we can find the voltage of the circuit by using Ohm's law, V = IR.
V_Total = I_Total * R_Total
V_Total = 17.9 mA * 1130 Ω
V_Total = 20.227 V
Now that we have V_Total, we can find the voltage drop across each resistor by using Ohm's law once more. Note, that since our circuit is series, both resistors will have the same current (I.e., I_Total = I_1 = I_2).
V_Total = V_1 + V_2
V_Total = V_1 + I_2*R2
V_Total - I_2*R2 = V_1
20.227 V - (17.9 mA * 560 Ω) = V_1
20.227 V - (10.024 V) = V_1
10.203 V = V_1
Hence, the voltage drop across R1 is 10.203 Volts.
Cheers.
Answer:
The change in kinetic energy per unit mass of water flowing through the valve is - ΔKE = 0.025 KJ/Kg
Explanation:
Knowing
-Fluid is air
-inlet 1: P1 = 300 kPa
-exit 2: P2 = 275 kPa
density - rho= 1000 kg/m3
Using the formula
Δh = cΔT + Δp/rho
as change in temperature is neglected then change in enthalpy becomes
Δh = Δp/rho
energy equation could be defined by
Q - W = m(out) [h(out)
(out)/2 + g Z(out)] - m(in) [h(in)
(in)/2 + g Z(in)]
Q - W = m2 [h2
2/2 + g Z2] - m1 [h1
1/2 + g Z1]
as for neglecting potential energy effects
Q - W = m2(h2) - m1(h1)
as the system is adiabatic and has no work done
0 = m2 [h2
2/2] - m1 [h1
1/2]
from mass balance m1 = m2
0 = [h2
2/2] - [h1
1/2]
Change in kinetic energy could be defined by
ΔKE =
2/2 -
1/2
Change in specific enthalpy could be defined by
Δh = h2 - h1
Then the change in kinetic energy per unit mass of water flowing through the valve could be calculated as following
ΔKE = -Δh = ΔP/rho
-(275 - 300)/1000 = 0.025 KJ/Kg
- ΔKE = 0.025 KJ/Kg