Final answer:
To find the speed of rotation of the printing plate, use the formula v = d / t. The distance traveled is 25% of the circumference of the cylinder, and the linear speed can be converted to angular speed using the formula ω = v / r.
Step-by-step explanation:
The question is asking about the printing plate of a rotary press, which involves the concept of rotational motion. The student is given the radius of the cylinder and the time it takes to rotate a certain amount of printed wallpaper. To find the speed of rotation, we can use the formula v = d / t, where v is the linear speed, d is the distance traveled, and t is the time taken. In this case, the distance traveled is 25% of the circumference of the cylinder, which can be calculated using 2πr. After finding the linear speed, we can convert it to angular speed using the formula ω = v / r.