If the chair rotates 48 times per minute, we can calculate how many rotations does per second:
[tex]\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}[/tex]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.