Question

When non-metric units were used in the United Kingdom, a unit of mass called the pound-mass (lbm) was employed, where 1lbm=0.4539kg. (a) If there is an uncertainty of 0.0001kg in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms?

Answer 1

a) 0.022%

b) 10014.32 lb

Step-by-step explanation:

a) Percentage uncertainty would be

`0.0001* (100)/(0.4539)=0.022%`

Percent uncertainty is 0.022%

b) For 1 kg uncertainty mass in kg would be

`(1)/(0.022)* {100}=4545.5\ kg`

Mass in pounds would be

`(4545.5)/(0.4539)=10014.32\ lb`

Mass in pound-mass is 10014.32 lb