英语翻译Cylinder Energy Absorption - A horizontally oriented cyl
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英语翻译
Cylinder Energy Absorption - A horizontally oriented cylindrical pipe absorbs energy from the
sun.This is a common structure in solar heat-exchange systems.Consider a small region on
the surface of the pipe.Let θ be the angel between the plane tangent at this location and a ray
of the sun.The rate at which energy is absorbed at this region is directly proportional to sin(θ)
and to the area of the region.For a 1 mm.by 1 mm.region receiving direct sunlight (θ = π/2),
energy is absorbed at a rate of 0.035 units per minute.Find a definite integral that expresses
the rate (units per minute) at which the entire pipe absorbs energy from the sun if the pipe has
a radius 2 centimeters and length 1 meter.Assume that the sun is directly overhead.
Cylinder Energy Absorption - A horizontally oriented cylindrical pipe absorbs energy from the
sun.This is a common structure in solar heat-exchange systems.Consider a small region on
the surface of the pipe.Let θ be the angel between the plane tangent at this location and a ray
of the sun.The rate at which energy is absorbed at this region is directly proportional to sin(θ)
and to the area of the region.For a 1 mm.by 1 mm.region receiving direct sunlight (θ = π/2),
energy is absorbed at a rate of 0.035 units per minute.Find a definite integral that expresses
the rate (units per minute) at which the entire pipe absorbs energy from the sun if the pipe has
a radius 2 centimeters and length 1 meter.Assume that the sun is directly overhead.
柱面能量吸收---水平向圆柱管吸收太阳能,这是太阳能热交换系统的普通结构.我们只考虑管子表面的一个小部位,让此部位的切面与太阳光成θ 角,这个部位吸收能量的比率可直接表示为sin(θ) 和此部位面积的比例,即1mm 乘以1mm,为 直射光接收的部位(θ = π/2),每分钟能量的吸收率为0.035单位,如果管子半径是2厘米,长度是1米,找到表达此比率(单位/分钟)的定积分表达式来表示整个管子所吸收的太阳能.假设太阳光在头顶山直射.
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