一道微积分的题：已知一弧长为1.74米,弧高为0.074米,求铉长.请算一下结果,告诉我,谢谢.

Question

一道微积分的题：已知一弧长为1.74米,弧高为0.074米,求铉长.请算一下结果,告诉我,谢谢.

Answer 1

已知一弧长为C=1.74米,弧高为H=0.074米,求弦长L
Rn+1=(1-(Rn*COS(C/(2*Rn))-Rn+H)/((C/2)*SIN(C/(2*Rn))-H))*Rn
R0=5
R1=5.0978
R2=5.1018
R3=5.1018
R=5.1018米
SIN(180*C/(2*R*PI))=L/(2*R)
L=2*R*SIN(180*C/(2*R*PI))
=2*5.1018*SIN(180*1.74/(2*5.1018*PI))
=10.2036*SIN(9.7705)
=1.7316米