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A wheel is rotating at a rate of 1.90 revolutions every 3.96 s. Through what angle does the wheel rotate in 1.00 s? Give answer in radians, do not enter unit.

Question

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Solution

First, we need to find out how many revolutions the wheel makes in one second. We know that it makes 1.90 revolutions every 3.96 seconds, so we divide 1.90 by 3.96 to get the number of revolutions per second:

1.90 revolutions / 3.96 s = 0.479 revolutions/s

Next, we need to convert revolutions to radians, since one revolution is equal to 2π radians. So, we multiply the number of revolutions per second by 2π to get the angle in radians:

0.479 revolutions/s * 2π rad/revolution = 3.01 rad/s

So, the wheel rotates through an angle of 3.01 radians in one second.

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