If you pick a force-torque sensor without checking the measurement resolution, you can easily get readings that look fine but have no practical value—especially if your ADC bit depth isn't well matched to your sensor's range. This Force-Torque Sensor Resolution Checker lets you figure out the sensor’s true resolution and what that actually means for your measured force or torque. You'll need to know your analog voltage output, full-scale range, and ADC bit depth. This matters in robotic assembly, medical robotics, and any automated testing where force readings are used for decision-making. On this page you’ll find the core formulas, an example calculation, design notes, and a detailed FAQ.
What is force-torque sensor resolution?
Force-torque sensor resolution is the smallest force or torque your system can reliably register. It’s set by how many distinct outputs your ADC carves the sensor’s measurement span into.
Simple Explanation
Picture a ruler: you can’t measure less than 1 mm with standard markings, no matter how steady your hand. With a force-torque sensor, the ADC defines these “markings,” and resolution is just the space between them. Increase ADC bits, and you decrease that spacing—detecting smaller increments.
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Table of Contents
Force-Torque Sensor System Diagram
Force-Torque Sensor Resolution Calculator
How to Use This Calculator
This calculator is intended for education, concept evaluation, and preliminary design. Results are based on the equations and assumptions described on this page, but cannot account for every real-world load case, tolerance, material property, environmental condition, installation detail, safety factor, code, or regulatory requirement. Verify all inputs, assumptions, units, and results independently before selecting components or using the result in a real application. Safety-critical, structural, medical, lifting, transportation, or regulated applications must be reviewed by a qualified engineer.
- Enter the sensor's full-scale measurement range in Newtons (N) or Newton-metres (Nm).
- Enter your ADC resolution in bits (e.g., 16 for a 16-bit ADC).
- Enter the sensor's current voltage output and its maximum voltage rating.
- Click Calculate to see your result.
📹 Video Walkthrough — How to Use This Calculator
Force-Torque Sensor Resolution Interactive Visualizer
Calculate sensor resolution and measured values from analog voltage output, full-scale range, and ADC bit depth. Watch how ADC resolution dramatically affects your measurement precision in real-time.
RESOLUTION
3.05 mN
MEASURED VALUE
28.0 N
ADC STEPS
65,536
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Mathematical Equations
Use the formula below to calculate force-torque sensor resolution.
Force-Torque Sensor Resolution
Resolution = Full Scale Range ÷ 2ADC Bits
Measured Force/Torque Value
F/T Value = Voutput ÷ Vmax × Full Scale Range
Signal-to-Noise Ratio
SNR = 20 × log10(2n/2) dB
Where: n = ADC resolution in bits, Voutput = sensor voltage output, Vmax = maximum sensor voltage
Simple Example
Sensor range: 100 N. ADC: 16-bit (65,536 steps). Voltage output: 3.75 V. Max voltage: 5 V.
Resolution = 100 ÷ 65,536 = 1.526 × 10⁻³ N
Normalized voltage = 3.75 ÷ 5 = 0.75. Measured value = (0.75 − 0.5) × 2 × 100 = 50 N
Complete Guide to Force-Torque Sensor Resolution
Force-torque sensors measure load in six degrees of freedom (three directions, three torques). If your job needs precise force control—robotics, haptics, closed-loop tests—knowing the sensor’s true resolution is a must.
Understanding Sensor Resolution
Resolution tells you the smallest increment your system can see—set by the ADC step size. If you’re actually using the sensor for real-world control, you’ll want to calculate what that means for your measurements, not just rely on datasheets.
The ADC is usually what sets your lower limit. With 16 bits you get 65,536 steps, with 24 bits it's about 16 million. Choose an ADC that's a good match for your application—more bits won't fix noise or poor signal quality downstream.
Signal Conditioning and Processing
Most force-torque sensors use strain gauges that change resistance slightly when loaded. The circuit (often a Wheatstone bridge) converts this to a voltage, usually tiny unless amplified. The full chain—mechanical, analog, ADC—sets your real-world resolution and noise floor.
The output voltage may be in the millivolt range and needs amplifying to suit your ADC (such as into 0-5V or ±10V, depending if you need to measure bidirectional loads). Pay attention to the signal chain: anything from bad shielding to poor amplifier selection makes a real difference.
Practical Applications
In robotics, force-torque sensors are used to enable compliant or "soft" control, so an arm can stop or back off when it hits something. Connect this to a linear actuator and you get assembly systems that can insert parts or position objects with defined force.
If you’re doing medical robotics, tiny force changes matter. For microsurgery, you might need 0.01N steps or smaller, so you’re forced to use high-bit ADCs, careful signal conditioning, and manage noise aggressively throughout.
Worked Example Calculation
Say you have a 6-axis force-torque sensor with:
- Force range: ±100N per axis
- Torque range: ±10 Nm per axis
- ADC: 16 bits
- Voltage output range: 0-5V
- Voltage currently reading: 3.2V
First, force resolution:
Resolution = 200N ÷ 65,536 = 3.05 × 10-3 N = 3.05 mN
Measured value:
Normalized voltage = 3.2V ÷ 5V = 0.64
Force value = (0.64 - 0.5) × 2 × 100N = 0.14 × 200N = 28N
This shows you can pick up force changes around 3 mN, and the reading corresponds to a 28N load.
Design Considerations
When designing your measurement chain, it’s not just about the number of ADC bits. Noise—the analog kind—matters. You’ll face thermal noise, EMI, vibration, and more, so don’t trust the ADC spec on its own. Your effective resolution (ENOB) almost always lands lower than the datasheet if you don’t manage noise.
Temperature is another trouble spot. Strain gauges shift with heat. If you ignore temperature compensation, errors stack up quickly. Most modern sensors add temperature measurements and correct in firmware or software, but you still need to confirm over your real application temperature range.
The sensor’s mechanical structure matters, too. You need enough stiffness for accuracy, but flexibility for measurement. Overload protection is generally provided by mechanical stops or failsafes—design these in if you expect occasional accidental overloads.
Advanced Signal Processing
You can use digital filters to reduce noise and increase practical resolution. But filtering trades speed for clarity. If you’re controlling something in real time, be careful not to over-filter or you’ll lose responsiveness. Decide what’s more important for your project: noise floor, or reaction time.
Six-axis sensors require calibration matrices to turn voltages into real forces/torques. This also helps correct cross-axis interference. Plan for recalibration at intervals matching your drift and accuracy needs. If your gear ages or takes a mechanical hit, recalibrate sooner.
Integration with Automation Systems
Real-world automation often ties force-torque sensors directly into control systems for guided assembly work. Combined with linear actuators, you can do force-controlled assembly or sensitive positioning for things like PCB placements or enclosure closures.
Getting the data off the sensor into your system usually means using industrial protocols such as Ethernet/IP, EtherCAT, or CANopen. Sample rates vary: 1 kHz is common, while demanding dynamics might push you to 10 kHz if your network and controller can keep up.
Frequently Asked Questions
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About the Author
Robbie Dickson
Chief Engineer & Founder, FIRGELLI Automations
Robbie Dickson brings over two decades of engineering expertise to FIRGELLI Automations. With a distinguished career at Rolls-Royce, BMW, and Ford, he has deep expertise in mechanical systems, actuator technology, and precision engineering.
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