Two castings are proposed for a study. one casting is a cube 10.16 cm (4 in.) on a side; the other is a rectangle 10.64 cm (16 in.) tall × 10.16 cm (4 in.) wide × 2.45 cm (1 in.) thick. both are cast from the same metal at the same temperature, and the mold material is the same in both cases. if the cube-shaped casting solidifies in 14.5 min, how rapidly do we expect the rectangular casting to solidify?

To solve the problem it is necessary to apply the concepts related to Chvorinov's Law, which states that

Where,

= Volume cube

= Superficial Area from Cube

= Volume Rectangle

= Superficial Area from Rectangle

Our values are given as (I will try to develop the problem in English units for ease of calculations),

Applying the Chvorinov equation we have to,

The stipulated time for the cube is 14.5 then,

electrical potential energy =0.072 j

explanation:

electrical potential energy is given by

u= q δv

q= charge=6 c

δv= potential difference and is given by

δv= e d

e= electric field

d= distance=5 mm=0.005 m

δv=2.4 (0.005)=0.012 v

now electric potential energy= u= q δv

u=6 (0.012)

u=0.072 j