作业帮英语翻译A circular swimming pool has a diameter of 24 ft,the sid
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英语翻译
A circular swimming pool has a diameter of 24 ft,the sides are
5 ft high,and the depth of the water is 4 ft.How much work（功） is
required to pump（吸水） all of the water out over the side?
水的密度=62.5 lb/ft3.
答案是339292 ft-lb.
请留言,我可以写翻译然后再让你解答.
A circular swimming pool has a diameter of 24 ft,the sides are
5 ft high,and the depth of the water is 4 ft.How much work（功） is
required to pump（吸水） all of the water out over the side?
水的密度=62.5 lb/ft3.
答案是339292 ft-lb.
请留言,我可以写翻译然后再让你解答.
以4米水深处的水平面为x轴,以圆柱的轴为y轴建立坐标系.
考虑做功的微元dW=dm*g*(1+x)=62.5*dV*g*(1+x)
=62.5*pi*(12)^2*g*(1+x)dx=282 743(1+x)dx
积分得
W=∫(0,4)282743(1+x)dx=339292 ft-lb
其中pi表示圆周率,且g取10
考虑做功的微元dW=dm*g*(1+x)=62.5*dV*g*(1+x)
=62.5*pi*(12)^2*g*(1+x)dx=282 743(1+x)dx
积分得
W=∫(0,4)282743(1+x)dx=339292 ft-lb
其中pi表示圆周率,且g取10
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