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?

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