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Inessa [10]
3 years ago
11

hile sitting in physics class one day, you begin to ponder the workings of the analog clock on the classroom wall. You notice as

the hands sweep in a continuous motion that there are exactly t = 37 minutes left in class. Randomized Variables t = 37 minutes show answer No Attempt 14% Part (a) Through what angle (in radians) will the second hand turn before the end of class?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

Answer:

Second hand will turn through 74π radians.

Step-by-step explanation:

There are 37 minutes left in the class. We need to find by how much angle will the second hand turn before the end of the class.

When a second hand completes one full rotation along the clock it covers 360 degrees and completes 60 seconds.

This means:

In 60 seconds, the second hand turns by 360 degrees

Since, 60 seconds = 1 minute, we can write:

In 1 minute, the second hand turns = 360 degrees

360 degrees is equal to 2π radians. So,

In 1 minute, the second hand turns = 2π radians

Multiplying both sides by 37 gives us:

In 37 minutes, the second turns = 2π radians x 37 = 74π radians

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