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 20 centuries, what is the total of the daily increases in time?
Question
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 20 centuries, what is the total of the daily increases in time?
Solution
The problem states that the length of each day increases by 1.0 ms over a century. Therefore, over 20 centuries, the total increase in time would be 20 times this amount.
Step 1: Identify the increase in time per century. The problem states that the length of each day increases by 1.0 ms over a century.
Step 2: Multiply this amount by the number of centuries. The problem asks for the total increase over 20 centuries. Therefore, we multiply the increase per century (1.0 ms) by the number of centuries (20).
1.0 ms/century * 20 centuries = 20 ms
So, the total of the daily increases in time over 20 centuries would be 20 ms.
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