One revolution is equal to 2π radians. Therefore, to find the number of revolutions made by the DVD in 1 minute, we can first find the number of revolutions made by the DVD in 1 second and then multiply by 60 to convert from seconds to minutes.
In 1 second, the DVD rotates through an angle of 20π radians. To find the number of revolutions, we can divide this angle by 2π:
20π radians ÷ 2π radians/revolution = 10 revolutions
Therefore, in 1 second, the DVD makes 10 revolutions. To find the number of revolutions in 1 minute, we can multiply by 60:
10 revolutions/second × 60 seconds/minute = 600 revolutions/minute
So the DVD will make 600 revolutions in 1 minute.