A hollow aluminum shaft with an outside diameter of 80 mm and a wall thickness of 4 mm has an allowable shear stress of 80 MPa. Determine the maximum torque T that may be applied to the shaft.

The lid of a pressure cooker forms a nearly airtight seal. steam builds up pressure and increases temperature within the pressure cooker so that food cooks faster than it does in an ordinary pot. the system is defined as the pressure cooker and the water and steam within it. if 2.0 g of water is sealed in a pressure cooker and then vaporized by heating, and 5655 j must be added as heat to completely vaporize the water, what is the change in the system’s internal energy? answer in units of j.