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rosijanka [135]
2 years ago
12

An equal-tangent sag vertical curve connects a 1% and 3% initial and final grades, respectively, and is designed for 70 mph. The

highest point on the curve is at elevation 822 ft. If the PVC is at station 110 00, what is the elevation of the curve at station 112+12?
Engineering
1 answer:
Alecsey [184]2 years ago
6 0

Answer:

Explanation:

An equal-tangent crest vertical curve is designed for 70 mi/h. The high point is at elevation 822 ft. The initial grade is +1% and the final grade is +3%. If the PVC is at station 110+00, What is the elevation of the curve at 112+62?

Solution:

Determine the design length of the vertical curve based on the stopping sight distance (SSD):

L = KA

L = K X [G1 – G2]

K = 247

L = 247 * [ 1- 3] = 494

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A medium-sized jet has a 3.8-mm-diameter fuselage and a loaded mass of 85,000 kg. The drag on an airplane is primarily due to th
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Answer:

F_{thrust} ≅ 111 KN

Explanation:

Given that;

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mass = 85,000 kg

drag co-efficient (C) = 0.37

(velocity (v)= 230 m/s

density (ρ) = 1.0 kg/m³

To calculate the thrust; we need to determine the relation of the drag force; which is given as:

F_{drag} = \frac{1}{2} × CρAv²

where;

ρ = density of air wind.

C = drag co-efficient

A = Area of the jet

v = velocity of the jet

From the question, we can deduce that the jet is in motion with a constant speed; as such: the net force acting on the jet in the air = 0

SO, F_{drag}-F_{thrust} = 0

We can as well say:

F_{drag}= F_{thrust}

We can now replace F_{thrust} with F_{drag} in the above equation.

Therefore, F_{thrust} = \frac{1}{2} × CρAv²

The A which stands as the area of the jet is given by the formula:

A=\frac{\pi d^2}{4}

We can now have a new equation after substituting our A into the previous equation as:

F_{thrust} = \frac{1}{2} × Cρ (\frac{\pi d^2}{4})v^2

Substituting our data from above; we have:

F_{thrust} = \frac{1}{2} × (0.37)(1.0kg/m^3)(\frac{\pi(3.8m)^2 }{4})(230m/s)^2

F_{thrust} = \frac{1}{8}   (0.37)(1.0kg/m^3)({\pi(3.8m)^2 })(230m/s)^2

F_{thrust} = 110,990N

F_{thrust}  in N (newton) to KN (kilo-newton) will be:

F_{thrust} = (110,990N)*\frac{1KN}{1,000N}

F_{thrust} = 110.990 KN

F_{thrust} ≅ 111 KN

In conclusion, the jet engine needed to provide 111 KN thrust in order to cruise at 230 m/s at an altitude where the air density is 1.0 kg/m³.

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