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The solar insolation received at the ground in Sydney in January is I ≈ 5 kilowatt hours/m2/day. This is an energy per unit area per unit time received at ground level.What are the dimensions of I?

Question

The solar insolation received at the ground in Sydney in January is I ≈ 5 kilowatt hours/m2/day. This is an energy per unit area per unit time received at ground level.What are the dimensions of I?

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Solution

The dimensions of I, which is the solar insolation received at the ground in Sydney in January, are energy per unit area per unit time.

In terms of base units:

  • Energy is typically measured in Joules (J) in the International System of Units (SI). However, in this case, it's given in kilowatt-hours (kWh), which is a unit commonly used in electricity. 1 kilowatt-hour is equivalent to 3.6 million Joules (J).

  • Area is measured in square meters (m²).

  • Time is measured in seconds (s), but in this case, it's given in days.

So, the dimensions of I are kilowatt-hours per square meter per day (kWh/m²/day).

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