Question

a spinning office chair rotates 48 times per minute. through how many degrees does a point on the edge of the chair move in 2 seconds

Answer 1

If the chair rotates 48 times per minute, we can calculate how many rotations does per second:

$\frac{48\text{ cycles}}{1\text{ minute}}\cdot\frac{1\text{ minute}}{60\text{ s}}=\frac{48\text{ cycles}}{60\text{ s}}=0.8\text{ cycles per second}$

If the chair rotates 0.8 cycles per second, that means 1.6 cycles every 2 seconds.

Then, if a cycle is 360 degrees, 1.6 times 360 degrees is 576 degrees.

Answer: 576 degrees.