The part of the food web that consumes organic waste is called decomposers, which include organisms like bacteria, fungi, and certain insects. Decomposers play a critical role in recycling nutrients back into the ecosystem by breaking down dead plants and animals, as well as waste products. This process enriches the soil, allowing plants to grow. Without decomposers, ecosystems would be overwhelmed with organic waste, and the cycling of nutrients would be disrupted. They are essential for maintaining the balance and health of ecosystems.