A 3.0-kg bowling ball experiences a net force of 8.0 N. What will be its acceleration?
a. 24 m/s2
b. 3.0 m/s2
c. 8.0 m/s2
d. 2.7 m/s2
e. 0.38 m/s2
d
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A furnace wall is to be constructed of brick having standard dimensions 22.5 cm* 11 cm * 7.5 cm. Two kinds of material are available. One has a maximum usable temperature of 1040°C and a thermal conductivity of 1.7 W/(m K), and the other has a maximum temperature limit of 8700C and a thermal conductivity of 0.85 W/(m K). The bricks have the same cost and are laid in any manner, but we wish to design the most economical wall for a furnace with a temperature of 10400C the hot side and 2000C on the cold side. If the maximum amount of heat transfer permissible is 950 W/m2 , determine the most economical arrangement using the available bricks.
GIVEN
Furnace wall made of 22.5 ? 11 ? 7.5 cm bricks of two types
Type 1 bricks Maximum useful temperature (T1,max) = 1040°C=1313 K
Thermal conductivity (k1) = 1.7 W/(m K)
Type 2 bricks Maximum useful temperature (T2,max) = 870°C= 1143 K
Thermal conductivity (k2) = 0.85 W/(m K)
Bricks cost the same
Wall hot side (Thot) = 1040°C=1313 K and cold side (Tcold) = 200°C=473 K
Maximum heat transfer permissible (qmax/A) = 950 W/m2
FIND
The most economical arrangement for the bricks
ASSUMPTIONS
One dimensional, steady state heat transfer conditions
Constant thermal conductivities
The contact resistance between the bricks is negligible
SKETCH
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