Question

Using a robot with 1 degree of freedom and having 1 sliding point with a full range of 1m, if the robot's control memory has a 12-bit storage capacity, then the control resolution for the axis of motion will be:

• A. 0.144 mm
• B. 0.244 mm
• C. 0.344 mm
• D. 0.444 mm

Hint:

To calculate control resolution, divide the range of motion by the number of divisions available based on the bit depth.

Answer 1

The Correct Option is B

Step 1: Understand the resolution calculation.
The control resolution is the smallest increment of movement that can be controlled by the robot. This is determined by the number of bits in the control memory and the range of motion.
The total number of divisions of the range is: \[ \text{Number of divisions} = 2^{\text{number of bits}} = 2^{12} = 4096 \] Step 2: Calculate the resolution. The resolution is the total range divided by the number of divisions: \[ \text{Resolution} = \frac{\text{Range of motion}}{\text{Number of divisions}} = \frac{1 \, \text{m}}{4096} = 0.000244 \, \text{m} = 0.244 \, \text{mm} \] Step 3: Conclusion The control resolution for the robot's axis of motion is 0.244 mm. Final Answer: \[ \boxed{0.244 \, \text{mm}} \]