A3-in-thick slab is 12 in wide and 15 ft long. thickness of the slab is reduced in three steps in a hot rolling operation. in each step, thickness is reduced by 20% and width increases by 3%. if the entry speed of the slab in the first step is 40 ft/min, and roll speed is the same for the three steps, determine (a) length and (b) exit velocity of the slab after the final reduction.

Part B:

For Final Reduction

Explanation:

Part A:

At each step 0.8 (100-20)% of thickness is left

Final Thickness t_f:

Width increases by 0.03 in each step so (100+3)%=1.03

Final Width w_f:

Conservation of volume:

Part B:

At First reduction exit Velocity:

At 2nd Reduction:

For Final Reduction:

when a device is used in a circuit in which the voltage is 81 v, the current flowing through the device is 3 a. what is the resistance of the device?

a. 27 ω

b. 40.5 a

c. 243 ω

d. 243 a

the correct answer is a. 27

prndulum needs thread, weight clock to time swings