Given the following spotlights placed as shown in the diagram. Assume isometric distribution of the light The Area A2 is 12,56m2, The Lamp#2 has a Luminous flux of 600 Lumens and the distance D2 is 2 meters What is the Beam Angle of the Lamp #2? Lamp #1 Lamp #2 Вeam Angle (4) D1 D2 Вeam Angle (4) Light Fixture Distance-
Given the following spotlights placed as shown in the diagram. Assume isometric distribution of the light The Area A2 is 12,56m2, The Lamp#2 has a Luminous flux of 600 Lumens and the distance D2 is 2 meters What is the Beam Angle of the Lamp #2? Lamp #1 Lamp #2 Вeam Angle (4) D1 D2 Вeam Angle (4) Light Fixture Distance-
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The Area A2 is 12,56m2, The Lamp#2 has a Luminous flux 600 Lumens and the distance D2 is 2 meters
What is the Beam Angle of the Lamp #2?
![**Spotlight Beam Angle Calculation**
**Problem Statement:**
Given the following spotlights placed as shown in the diagram. Assume isometric distribution of the light. The properties of the setup are as follows:
- The Area A2 is 12.56 m²
- Lamp #2 has a luminous flux of 600 lumens
- The distance D2 is 2 meters
**Question:**
What is the Beam Angle of Lamp #2?
**Diagram Explanation:**
- The diagram shows two lamps, Lamp #1 and Lamp #2.
- Each lamp projects light onto the ground, creating illuminated surface areas.
- Lamp #1 has an illuminated area labeled A1.
- Lamp #2 has an area labeled A2, and the diameter of the beam on the ground is marked as A3.
- The distance from the lamp to the illuminated area is labeled D1 for Lamp #1 and D2 for Lamp #2.
- The beam angle (ϕ) is indicated for both lamps, but the specific value is sought only for Lamp #2.
**Calculation Note:**
The beam angle can be calculated using the formula for the area of illumination and the distance:
\[ \text{Area} = \pi \left(\frac{D \times \tan(\frac{\phi}{2})}{2}\right)^2 \]
Given the area and knowing distance D2, solve for the beam angle ϕ.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8e1b55b-e719-4fba-8aef-c002df41f622%2F23e20db0-a98c-4a3b-ac6b-64fb6c24b04f%2F9mh2kb7_processed.png&w=3840&q=75)
Transcribed Image Text:**Spotlight Beam Angle Calculation**
**Problem Statement:**
Given the following spotlights placed as shown in the diagram. Assume isometric distribution of the light. The properties of the setup are as follows:
- The Area A2 is 12.56 m²
- Lamp #2 has a luminous flux of 600 lumens
- The distance D2 is 2 meters
**Question:**
What is the Beam Angle of Lamp #2?
**Diagram Explanation:**
- The diagram shows two lamps, Lamp #1 and Lamp #2.
- Each lamp projects light onto the ground, creating illuminated surface areas.
- Lamp #1 has an illuminated area labeled A1.
- Lamp #2 has an area labeled A2, and the diameter of the beam on the ground is marked as A3.
- The distance from the lamp to the illuminated area is labeled D1 for Lamp #1 and D2 for Lamp #2.
- The beam angle (ϕ) is indicated for both lamps, but the specific value is sought only for Lamp #2.
**Calculation Note:**
The beam angle can be calculated using the formula for the area of illumination and the distance:
\[ \text{Area} = \pi \left(\frac{D \times \tan(\frac{\phi}{2})}{2}\right)^2 \]
Given the area and knowing distance D2, solve for the beam angle ϕ.
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