The brake of a vehicle can be modeled as a solid of mass m , with specific heat c and uniform temperature T , initially equal to the ambient temperature T0. During the braking process the brake receives work input W, temperature rises to T and heat transfer occurs in contact with the ambient. The system boundary is a surface of temperature T0.
1. Determine the entropy generated and shows Sgen varies with W, T, To and mc.
2. Show that Sgen is less than W/T0 and explain why.
3. Determine the total entropy generated from the start of the braking process until the brake cools down to T0.Show that this value is greater than that obtained from b.