Find formula for how much longer each day is

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In summary, Earth's rotation is gradually slowing, causing the length of each day to increase. In 53 centuries, the total increase in time will be 1.0 ms multiplied by the number of days, which is an arithmetic progression. To calculate the sum of the gains on each day, a formula for the increase in time must be found.
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jja6782
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Because Earth's rotation is gradually slowing, the length of each day increases: The day at the end of 1.0 century is 1.0 ms longer than the day at the start of the century. In 53 centuries, what is the total (in hours) of the daily increases in time (that is, the sum of the gain on the first day, the gain on the second day, etc.)?

Dont have a clue where to start...

_James
 
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Try to find formula for how much longer each day is, then try to calculate sum.
 
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FAQ: Find formula for how much longer each day is

How do you calculate the length of each day?

In order to calculate the length of each day, you need to know the sunrise and sunset times for your location. These can be found online or through weather apps. Once you have these times, subtract the sunrise time from the sunset time to get the length of the day.

What factors affect the length of each day?

The length of each day is primarily affected by the tilt of the Earth's axis and its rotation around the sun. Other factors such as the Earth's position in its orbit and atmospheric conditions can also have a small impact.

Is there a specific formula for calculating the length of each day?

Yes, the formula for calculating the length of each day is (sunset time - sunrise time). This will give you the total number of hours and minutes of daylight for that day.

How does daylight savings time affect the length of each day?

Daylight savings time does not actually affect the length of each day. It is a way for us to make better use of the daylight by shifting our clocks forward or back an hour. This can make it seem like the days are longer or shorter, but in reality, the length of each day remains the same.

Can the length of each day vary from year to year?

Yes, the length of each day can vary from year to year. This is because the Earth's rotation around the sun is not a perfect 365 days. It takes approximately 365.24 days for the Earth to make a full orbit, so each year, the length of each day can vary slightly.

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