Answer: 0.2m sqr
Explanation:
A well behaved aircraft basically have a value of volume in horizontal and vertical area.
Volume in horizontal area (Vh) = 0.6
Volume in vertical area (Vv) = 0.05
Having known this, consider the relationship to find the vertical and horizontal tail sizes.
Vertical tail area (Sv)
Horizontal tail area (Sh)
Vh= (Sh × I) / S
Where,
I = moment
S= wing area
Sh= Horizontal tail area
Vh= Volume in horizontal area
0.6= Sh × 10/40
24= 10Sh
Sh= 24/10
Sh= 2.4 msqr
Horizontal tail area= 2.4m sqr
From the information above, we can calculate the vertical tail area.
Vertical tail area is calculated thus below:
Vv= (Sv× I) / S
Where
Vv= Volume in vertical area
Sv= Vertical tail area
I= Moment
S= Wing area
Therefore
Sv= (Vv × S) /I
Sv= (0.05×40)/10
Sv= 0.2msqr
In conclusion, the vertical tail size is 0.2msqr
Answer:
100Hz
Explanation:
The minimum sampling rate to prevent aliasing is at least double your sample frequency.
50*2 = 100Hz
This is called the Nyquist Sampling Rate if you wanna learn more about it.
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Answer:
Tmax = 2.934ksi
φ = 4.58°
Explanation:
Given.
Length = 100 ft
Maximum power = 2590 hp
Angular rotate = 1700 rpm .
Outer diameter of the shaft = 8 in. Wall thickness = 3/8 in.
Calculating angular velocity.
= 1700rev/min * 2πrad/rev * 1min/60s
= 56.67πrad/s
Convert power to ft.lb/s
2590hp = 2590 * 550
= 1424500ft.lb/s
At this point, we calculate torque.
Torque = Power/Angular Velocity
Torque = 1424500/56.67π
Torque = 8000.24lb.ft
Using the torsion formula, we'll calculate maximum stress due to the shear force acting on the body:
Tmax = ½(Tc/J)
Tmax =½ of (8001.24 * 12 * 4 )/ (π/4)(4⁴ - 3.625⁴)
Tmax = ½ * 5868.656298363693
Tmax = 2934.328149181846
Tmax = 2.934ksi
Calculating the angle twist
φ = TL/JG
φ = (8001.24 * 12 * 100 * 12 )/( (π/4)(4⁴ - 3.625⁴)(4⁴ - 3.625⁴)(11)(10^6))
φ = 0.08002 rad -- convert to degrees
φ = 4.58° --- approximated