题目

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.

提问时间：2021-04-01

答案

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...