This document presents a novel Hierarchical Weighted Classification (HWC) scheme for recognizing human physical activities based on data from wearable sensors. The HWC approach uses binary classifiers on individual features to discriminate between classes, and combines their outputs with weighting parameters and simple decision rules. When tested on data from 5 wearable sensors and 8 activities, the HWC approach achieved classification accuracy rates as high as 97.81%, outperforming traditional multiclass approaches by up to 15%. The HWC provides an effective and accurate method for activity recognition using multiple data sources.