QUESTION IMAGE
Question
i understand the ir sensor will pointed at the ground only, disciplinary action will be taken initials, ____
| surface material | temps in direct sun (°c) | average in sun | temps under tree/shade (°c) | average in shade | temp difference (δt) |
|---|---|---|---|---|---|
| green grass/plant | 30, 27, 36 | 17, 18, 18 | |||
| soil or sand | 34, 31, 33 | 14, 9, 12 | |||
| concrete | 30, 30, 26 | 13, 12, 14 | |||
| blue glass in quad | 29, 29, 29 | 9, 10, 9 |
plants open tiny pores on their leaves called stomata to take in co₂. while these pores are water to water vapor absorbs
To solve for the average temperature in sun, average in shade, and temperature difference for each surface material, we follow these steps:
Asphalt (blacktop)
Step 1: Average in Sun
The temperatures in direct sun are 33, 31, 33.
\[
\text{Average in Sun} = \frac{33 + 31 + 33}{3} = \frac{97}{3} \approx 32.33^\circ\text{C}
\]
Step 2: Average in Shade
The temperatures under tree/shade are 13, 12, 15.
\[
\text{Average in Shade} = \frac{13 + 12 + 15}{3} = \frac{40}{3} \approx 13.33^\circ\text{C}
\]
Step 3: Temperature Difference
\[
\text{Temperature Difference} = 32.33 - 13.33 = 19^\circ\text{C}
\]
Green Grass/Plant
Step 1: Average in Sun
The temperatures in direct sun are 30, 27, 36.
\[
\text{Average in Sun} = \frac{30 + 27 + 36}{3} = \frac{93}{3} = 31^\circ\text{C}
\]
Step 2: Average in Shade
The temperatures under tree/shade are 17, 18, 18.
\[
\text{Average in Shade} = \frac{17 + 18 + 18}{3} = \frac{53}{3} \approx 17.67^\circ\text{C}
\]
Step 3: Temperature Difference
\[
\text{Temperature Difference} = 31 - 17.67 = 13.33^\circ\text{C}
\]
Soil or Sand
Step 1: Average in Sun
The temperatures in direct sun are 34, 31, 33.
\[
\text{Average in Sun} = \frac{34 + 31 + 33}{3} = \frac{98}{3} \approx 32.67^\circ\text{C}
\]
Step 2: Average in Shade
The temperatures under tree/shade are 14, 9, 12.
\[
\text{Average in Shade} = \frac{14 + 9 + 12}{3} = \frac{35}{3} \approx 11.67^\circ\text{C}
\]
Step 3: Temperature Difference
\[
\text{Temperature Difference} = 32.67 - 11.67 = 21^\circ\text{C}
\]
Concrete
Step 1: Average in Sun
The temperatures in direct sun are 30, 30, 26.
\[
\text{Average in Sun} = \frac{30 + 30 + 26}{3} = \frac{86}{3} \approx 28.67^\circ\text{C}
\]
Step 2: Average in Shade
The temperatures under tree/shade are 13, 12, 14.
\[
\text{Average in Shade} = \frac{13 + 12 + 14}{3} = \frac{39}{3} = 13^\circ\text{C}
\]
Step 3: Temperature Difference
\[
\text{Temperature Difference} = 28.67 - 13 = 15.67^\circ\text{C}
\]
Blue Glass in quad
Step 1: Average in Sun
The temperatures in direct sun are 29, 29, 19.
\[
\text{Average in Sun} = \frac{29 + 29 + 19}{3} = \frac{77}{3} \approx 25.67^\circ\text{C}
\]
Step 2: Average in Shade
The temperatures under tree/shade are 9, 10, 9.
\[
\text{Average in Shade} = \frac{9 + 10 + 9}{3} = \frac{28}{3} \approx 9.33^\circ\text{C}
\]
Step 3: Temperature Difference
\[
\text{Temperature Difference} = 25.67 - 9.33 = 16.34^\circ\text{C}
\]
Final Table
| Surface Material | Temps in Direct Sun (°C) | Average in Sun (°C) | Temps under Tree/Shade (°C) | Average in Shade (°C) | Temp Difference (Δt) (°C) |
|---|---|---|---|---|---|
| Green Grass/Plant | 30, 27, 36 | 31 | 17, 18, 18 | ≈ 17.67 | ≈ 13.33 |
| Soil or Sand | 34, 31, 33 | ≈ 32.67 | 14, 9, 12 | ≈ 11.67 | 21 |
| Concrete | 30, 30, 26 | ≈ 28.67 | 13, 12, 14 | 13 | ≈ 15.67 |
| Blue Glass in quad | 29, 29, 19 | ≈ 25.67 | 9, 10, 9 | ≈ 9.33 | ≈ 16.34 |
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To solve for the average temperature in sun, average in shade, and temperature difference for each surface material, we follow these steps:
Asphalt (blacktop)
Step 1: Average in Sun
The temperatures in direct sun are 33, 31, 33.
\[
\text{Average in Sun} = \frac{33 + 31 + 33}{3} = \frac{97}{3} \approx 32.33^\circ\text{C}
\]
Step 2: Average in Shade
The temperatures under tree/shade are 13, 12, 15.
\[
\text{Average in Shade} = \frac{13 + 12 + 15}{3} = \frac{40}{3} \approx 13.33^\circ\text{C}
\]
Step 3: Temperature Difference
\[
\text{Temperature Difference} = 32.33 - 13.33 = 19^\circ\text{C}
\]
Green Grass/Plant
Step 1: Average in Sun
The temperatures in direct sun are 30, 27, 36.
\[
\text{Average in Sun} = \frac{30 + 27 + 36}{3} = \frac{93}{3} = 31^\circ\text{C}
\]
Step 2: Average in Shade
The temperatures under tree/shade are 17, 18, 18.
\[
\text{Average in Shade} = \frac{17 + 18 + 18}{3} = \frac{53}{3} \approx 17.67^\circ\text{C}
\]
Step 3: Temperature Difference
\[
\text{Temperature Difference} = 31 - 17.67 = 13.33^\circ\text{C}
\]
Soil or Sand
Step 1: Average in Sun
The temperatures in direct sun are 34, 31, 33.
\[
\text{Average in Sun} = \frac{34 + 31 + 33}{3} = \frac{98}{3} \approx 32.67^\circ\text{C}
\]
Step 2: Average in Shade
The temperatures under tree/shade are 14, 9, 12.
\[
\text{Average in Shade} = \frac{14 + 9 + 12}{3} = \frac{35}{3} \approx 11.67^\circ\text{C}
\]
Step 3: Temperature Difference
\[
\text{Temperature Difference} = 32.67 - 11.67 = 21^\circ\text{C}
\]
Concrete
Step 1: Average in Sun
The temperatures in direct sun are 30, 30, 26.
\[
\text{Average in Sun} = \frac{30 + 30 + 26}{3} = \frac{86}{3} \approx 28.67^\circ\text{C}
\]
Step 2: Average in Shade
The temperatures under tree/shade are 13, 12, 14.
\[
\text{Average in Shade} = \frac{13 + 12 + 14}{3} = \frac{39}{3} = 13^\circ\text{C}
\]
Step 3: Temperature Difference
\[
\text{Temperature Difference} = 28.67 - 13 = 15.67^\circ\text{C}
\]
Blue Glass in quad
Step 1: Average in Sun
The temperatures in direct sun are 29, 29, 19.
\[
\text{Average in Sun} = \frac{29 + 29 + 19}{3} = \frac{77}{3} \approx 25.67^\circ\text{C}
\]
Step 2: Average in Shade
The temperatures under tree/shade are 9, 10, 9.
\[
\text{Average in Shade} = \frac{9 + 10 + 9}{3} = \frac{28}{3} \approx 9.33^\circ\text{C}
\]
Step 3: Temperature Difference
\[
\text{Temperature Difference} = 25.67 - 9.33 = 16.34^\circ\text{C}
\]
Final Table
| Surface Material | Temps in Direct Sun (°C) | Average in Sun (°C) | Temps under Tree/Shade (°C) | Average in Shade (°C) | Temp Difference (Δt) (°C) |
|---|---|---|---|---|---|
| Green Grass/Plant | 30, 27, 36 | 31 | 17, 18, 18 | ≈ 17.67 | ≈ 13.33 |
| Soil or Sand | 34, 31, 33 | ≈ 32.67 | 14, 9, 12 | ≈ 11.67 | 21 |
| Concrete | 30, 30, 26 | ≈ 28.67 | 13, 12, 14 | 13 | ≈ 15.67 |
| Blue Glass in quad | 29, 29, 19 | ≈ 25.67 | 9, 10, 9 | ≈ 9.33 | ≈ 16.34 |