Two plane mirrors make the angle α = 46.0 ° α=46.0° between them. A ray of light incident on one of the mirrors is reflected and
it hits the second mirror. Find the angle between the ray incident on the first mirror and the ray reflected off of the second mirror.
1 answer:
Answer:
β = 88°
Explanation:
Given,
Angle between the mirror, α = 46.0 °
Let 'i' and 'r' be the angle made with mirror by incident and reflected ray respectively.
Now,
α + i + r = 180°
i + r = 180°-46°
i + r = 134°
we know, angle of incidence and angle of reflection are equal.
Let β be the required angle
β + (180°-2i) + (180°-2r) = 180°
β -2(i+r) = -180
β = -180° + 2 x 134°
β = 88°
Hence, the angle between them is equal to 88°.
You might be interested in
Answer:
- The specific mechanical energy of the air in the specific location is 40.5 J/kg.
- The power generation potential of the wind turbine at such place is of 2290 kW
- The actual electric power generation is 687 kW
Explanation:
- The mechanical energy of the air per unit mass is the specific kinetic energy of the air that is calculated using:
where V is the velocity of the air.
- The specific kinetic energy would be:
.
- The power generation of the wind turbine would be obtained from the product of the mechanical energy of the air times the mass flow that moves the turbine.
- To calculate mass flow it is required first to calculate the volumetric flow. To calculate the volumetric flow the next expression would be:
- Then the mass flow is obtain from the volumetric flow times the density of the air:
- Then, the Power generation potential is:
- The actual electric power generation is calculated using the definition of efficiency:
, where η is the efficiency,
is the energy actually produced and,
is the energy input. Then solving for the energy produced: