A beverage brewer includes a brewing chamber, a hollow injection nozzle, a rotation member, and a motor. The brewing chamber is configured to receive and hold a brewing cartridge. The injection nozzle is arranged in fluid communication with a liquid supply and configured to enter a brewing cartridge when the brewing cartridge is disposed in the brewing chamber and to provide fluid communication from the liquid supply to an interior of the brewing cartridge. The rotation member is arranged at a periphery of the brewing chamber. The motor is configured to rotate the rotation member. The beverage brewer can also include a hollow extraction nozzle arranged opposite an opening of the brewing chamber and configured to enter the brewing cartridge when the brewing cartridge is disposed in the brewing chamber and to provide fluid communication from an interior of the brewing cartridge to an exterior of the brewing chamber.