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2 answers:
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Answer:
E.year₂ > E.year₁ (Second site is better)
Explanation:
Given data
The power generation is the time rate of kinetic energy which can be calculated as:
Power=ΔKE=m×V²/2
Regarding that m ∝ V.Then
Power ∝ V³ ⇒ Power=constant×V³
Since ρa is constant for both sides and Area is the same as same wind turbine is used
For First site
For second site
Calculating energy generation per year for each of two sites
E.year=Power×Operation time per year
For First site
E.year₁=Power₁×Operation time₁ per year
For Second site
E.year₂=Power₂×Operation time₂ per year
So
E.year₂ > E.year₁ (Second site is better)
Answer:
ac= 15.07 m/s²
Explanation:
The Wheel rotates with a constant angular acceleration.:
Centripetal acceleration is calculated as follows:
ac =ω² *R Formula (1)
ac =v² / R Formula (2)
Kinematics of the wheel
We apply the equations of circular motion uniformly accelerated :
ωf²= ω₀² + 2αθ Formula (3)
v = ω* R Formula (4)
Where:
θ : angle that the wheel has rotated in a given time interval (rad)
α : angular acceleration (rad/s²)
ω₀ : initial angular speed ( rad/s)
ωf : final angular speed ( rad/s)
v: tangential velocity of a point on the rim ( m/s)
R : radius of wheel (m)
ac: centripetal acceleration, (m/s²)
Data:
D = 40.0 cm : diameter of the wheel
R = D/2= 40.0 cm/ 2 = 20 cm = 0.2m
α = 3.00 rad/s^2
ω₀ = 0
n = 2 revolutions : number of revolutions
θ =2πn (rad) = 2π*2 (rad) = 4π rad
Calculate of the ωf
We replace data in the formula (3)
ωf²= ω₀² + 2αθ
ωf²= 0 + 2(3)(4π)
ωf²= 24π
ωf = 8.68 rad/s
Calculate of the v
We replace data in the formula (4)
v = ω*R
v = (8.68)*(0.2)
v = 1.736 m/s
Calculate of the ac
We replace data in the formula (1)
ac = ( ω)²*(R)
ac = (8.68)²*(0.2)
ac = 15.07 m/s²
We replace data in the formula (2)
ac = v²/ R
ac = ( 1.736 )²/(0.2)
ac = 15.07 m/s²