Answer:

Explanation:
Given that:
The height of a triangular stabilizing fin on its stern is 1 ft tall
and it length is 2 ft long.
Temperature = 60 °F
The objective is to determine the drag on the fin when the submarine is traveling at a speed of 2.5 ft/s.
From these information given; we can have a diagrammatic representation describing how the triangular stabilizing fin looks like as we resolve them into horizontal and vertical component.
The diagram can be found in the attached file below.
If we recall ,we know that;
Kinematic viscosity v = 
the density of water ρ = 62.36 lb /ft³



which is less than < 5.0 × 10⁵
Now; For laminar flow; the drag on the fin when the submarine is traveling at 2.5 ft/s can be determined by using the expression:

where;
= strip area

Therefore;


Let note that y = 0.5x from what we have in the diagram,
so , x = y/0.5
By applying the rule of integration on both sides, we have:


Let U = (2-2y)
-2dy = du
dy = -du/2


![F_D = -0.568 [ \dfrac{\frac{1}{2}U^{ \frac{1}{2}+1 } }{\frac{1}{2}+1}]^0__2](https://tex.z-dn.net/?f=F_D%20%3D%20-0.568%20%5B%20%5Cdfrac%7B%5Cfrac%7B1%7D%7B2%7DU%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%2B1%20%7D%20%20%7D%7B%5Cfrac%7B1%7D%7B2%7D%2B1%7D%5D%5E0__2)
![F_D = -0.568 [ \dfrac{2}{3}U^{\frac{3}{2} } ] ^0__2](https://tex.z-dn.net/?f=F_D%20%3D%20-0.568%20%5B%20%5Cdfrac%7B2%7D%7B3%7DU%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%20%20%5D%20%5E0__2)
![F_D = -0.568 [0 - \dfrac{2}{3}(2)^{\frac{3}{2} } ]](https://tex.z-dn.net/?f=F_D%20%3D%20-0.568%20%5B0%20-%20%20%5Cdfrac%7B2%7D%7B3%7D%282%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%20%20%5D)
![F_D = -0.568 [- \dfrac{2}{3} (2.828427125)} ]](https://tex.z-dn.net/?f=F_D%20%3D%20-0.568%20%5B-%20%5Cdfrac%7B2%7D%7B3%7D%20%282.828427125%29%7D%20%20%20%5D)


Work, W = 277.269kJ
Internal energy, Q = 277.269kJ
<u>Explanation:</u>
Given-
Pressure, P1 = 2 bar
Temperature, T1 = 300K
Volume, V1 = 2m³
P2 = 1 bar
PV = constant
Let,
mass in kg be m
Work in kJ be W
Heat transfer in kJ be Q
R' = 8.314 kJ/kmolK
Mass of air, Mair = 28.97 kg/kmol
R = 0.289 kJ/kgK
We know,
PV = mRT

m = 5.65kg
To calculate V₂:
PV = constant = P₁V₁ = P₂V₂
P₁V₁ = P₂V₂

V₂ = 4m³
To calculate the work:
P₁V₁ = C
P₁ = C/ V₁

where limit is V₁ to V₂

To calculate heat transfer:
Q - W = Δu
Q - W = m (u₂ - u₁)
Q = W + m (u₂ - u₁)
Q = W + m X cv X (T₂ - T₁)
Since, T₁ ≈ T₂
There is no change of internal energy.
W = Q
Q = 277.269kJ
The two factors used to determine the speed of ac motors are the frequency of the power supply and the number of poles in the motor winding.
Explanation:
The frequency of the power supply and the number of poles of the machine states the synchronous speed.
The poles combined with ac line frequency determines the no-load revolutions per minute of the monitor. So all four-pole motors will run at same speed under no-load conditions, then all six-pole motors will run at the same speed.
The speed of the induction motor depends on stator frequency "s ". By varying the stator voltage and constant supply frequency the speed can be controlled. The two main components of the electric motor are stator and rotor.
Answer:
C) 43,2°C
Explanation:
<em>Sensible heat</em> is the amount of thermal energy that is required to change the temperature of an object, the equation for calculating the heat change is given by:
Q=msΔT
where:
- Q, heat that has been absorbed or realeased by the substance [J]
- m, mass of the substance [g]
- s, specific heat capacity [J/g°C]
- ΔT, changes in the substance temperature [°C]
To solve the problem, we clear ΔT of the equation and then replace our data:
Q=890 [J],
m=16,6 [g],
s=2,74 [J/g°C]
Q=msΔT.......................ΔT=Q/ms
Δ
°C
As:
ΔT=Tfinal-Tinitial
Tfinal=ΔT+Tinitial
Tfinal=21,7+21,5=43,2°C
The final temperature of the ethanol is 43,2°C.