灵鹊做题网the radius of a solid sphere is measured to be (6.50+-0.20)c
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the radius of a solid sphere is measured to be (6.50+-0.20)cm,and its mass is measured to be (1.85+-0.02)kg.determine the density of the sphere in kilogram per cubic meter and its uncertainty.不要剪接.万份感激.
不要简捷* ；用英文解答为佳〉〉〉〉 为何δV=3δr=0.093？
不要简捷* ；用英文解答为佳〉〉〉〉 为何δV=3δr=0.093？
半径r=6.50±0.20 cm
质量m=1.85±0.02 kg
相对误差δr=0.20/6.50=0.031
δm=0.02/1.85=0.011
V=4πr^3/3=4*3.14*6.5^3/3=1150 cm^3
δV=3δr=0.093
ρ=m/V=1.85/1150*10^-6=1.61*10^3 kg/m^3
δρ=δm+δV=0.104
ρ*δρ=1.61*10^3*0.104=0.17*10^3 kg/m^3
所以：该物体密度为(1.61±0.17)*10^3 kg/m^3.
质量m=1.85±0.02 kg
相对误差δr=0.20/6.50=0.031
δm=0.02/1.85=0.011
V=4πr^3/3=4*3.14*6.5^3/3=1150 cm^3
δV=3δr=0.093
ρ=m/V=1.85/1150*10^-6=1.61*10^3 kg/m^3
δρ=δm+δV=0.104
ρ*δρ=1.61*10^3*0.104=0.17*10^3 kg/m^3
所以：该物体密度为(1.61±0.17)*10^3 kg/m^3.
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