The diameter of the Sun makes an angle of 0.53^∘ from Earth. How many minutes does it take the S

step 1 Now, the sun makes an angle of 0 .53 degrees on Earth, if you're looking at it from Earth. So we

The diameter of the Sun makes an angle of 0.53^∘ from Earth....

The diameter of the Sun makes an angle of $0.53^{\circ}$ from Earth. How many minutes does it take the Sun to move 1 solar diameter in an overhead sky? (Remember that it takes 24 hours, or 1440 minutes, for the Sun to move through $360^{\circ} .$ ) How does your answer compare with the time it takes the Sun to disappear, once its lower edge meets the horizon at sunset? (Does refraction affect your answer?)

The diameter of the Sun makes an angle of $0.53^{\circ}$ from
Earth. How many minutes does it take the Sun to move
1 solar diameter in an overhead sky? (Remember that it
takes 24 hours, or 1440 minutes, for the Sun to move
through $360^{\circ} .$ ) How does your answer compare with the
time it takes the Sun to disappear, once its lower edge
meets the horizon at sunset? (Does refraction affect your
answer?)

Key Concepts

Atmospheric Refraction

Atmospheric refraction is the bending of light as it passes through Earth's atmosphere, which affects the apparent position of celestial bodies near the horizon. This phenomenon can cause discrepancies between the geometrically calculated and the actual observed times for events like sunrise and sunset, as it makes the Sun appear slightly higher than it truly is.

Time Conversion

Time conversion in this context refers to transforming an angular distance (measured in degrees) into a time interval (measured in minutes) by using the angular speed. This is important for quantifying how long it takes for celestial objects to travel a specified angular distance in the sky.

Angular Speed

Angular speed refers to the rate at which an object appears to move across the sky, usually expressed in degrees per unit time. In the context of the Sun’s apparent motion due to Earth's rotation, it is calculated by dividing the full 360° rotation over a time period (such as 1440 minutes for a complete day) to determine how many degrees the Sun moves per minute.

Angular Measurement

Angular measurement involves quantifying the apparent size or separation of objects in the sky using degrees, minutes, and seconds. For astronomical objects like the Sun, this means describing its apparent diameter as viewed from Earth, which is a crucial parameter in astronomical observations and calculations.

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