1. Check the Fuel Sender Unit: This is the most common culprit.
* Access: You'll need to drop the fuel tank. This is a significant job, often requiring special tools and potentially a helper. Consult a repair manual specific to your year and model S-10 for detailed instructions. This is generally *not* a beginner-level repair.
* Inspection: Once the tank is down, you'll access the fuel sender unit. Inspect the float arm for damage or debris that might be preventing it from moving freely. Check the electrical connections for corrosion or loose wires. The resistance of the sender itself can also be tested with a multimeter (compare to specs in your repair manual). A bad sender unit will likely need replacement.
* Replacement: If damaged, replace the entire sender unit. Make sure to get the correct part for your model year. Pay close attention during reassembly to ensure the float arm moves freely and the electrical connections are secure.
2. Check the Fuel Gauge Wiring:
* Wiring Harness: Inspect the wiring harness from the sender unit to the instrument cluster for broken wires, chafing, or corrosion. Pay special attention to where the harness may rub against the chassis or other components. Repair or replace damaged sections.
* Connections: Check all connections along the wiring harness for corrosion or loose fittings. Clean and tighten them as needed.
3. Check the Instrument Cluster:
* Internal Failure: A faulty fuel gauge within the instrument cluster is less common but possible. This typically requires professional repair or replacement of the entire cluster. Testing the gauge itself usually needs specialized equipment.
* Other Gauge Issues: If other gauges on your instrument cluster are malfunctioning, this points more strongly towards a problem with the cluster itself.
4. Check the Ground:
* Poor Ground Connection: A poor ground connection can affect the fuel gauge reading. Locate the ground wire for the fuel gauge system (consult your repair manual) and ensure it's clean, tight, and has a good connection to a clean metal surface on the vehicle's chassis.
Before Starting Major Repairs:
* Repair Manual: Obtain a repair manual specific to your 2001 Chevy S-10. This will provide detailed instructions, diagrams, and specifications crucial for successful repairs. Online resources like Haynes or Chilton offer these manuals.
* Safety Precautions: Working with fuel systems involves flammable materials. Ensure proper ventilation, wear safety glasses, and follow all safety precautions. Avoid sparks or open flames.
* Professional Help: If you're not comfortable working on fuel systems or removing the fuel tank, it's best to take your S-10 to a qualified mechanic. Incorrectly handling fuel systems can be dangerous.
In short: Start with the simplest checks (wiring, connections, ground). If those are fine, the fuel sender unit is the most likely culprit, but replacing it is a more involved process. Always consult a repair manual for precise details and safety guidelines.