CNC Cutting Machine Practice Test

What is the angle of movement when both servomotors in the x and y direction are simultaneously active?

1. 30 degrees

2. 45 degrees

3. 60 degrees

4. 90 degrees

The correct answer is: 45 degrees

When both servomotors in the x and y directions are simultaneously active, they can create a diagonal movement. In a typical Cartesian coordinate system, if both motors are set to move equal distances, they will form a right triangle with each motor representing one leg of the triangle (x and y directions) and the hypotenuse representing the diagonal movement. To determine the angle of the diagonal movement, we can use trigonometric functions. The angle of the movement in relation to the horizontal (x-axis) can be calculated using basic trigonometry. For equal movements in both directions (let's say both x and y are moved up by the same distance), we can use the arctangent function to find the angle. In this case, if you consider the x and y components to be equal, the angle formed is 45 degrees. Thus, the correct answer indicates that when both motors are active and working simultaneously, the resulting movement forms a 45-degree angle to the horizontal axis due to the equal contribution of both the x and y movements, confirming that option B is the correct angle of movement.