The area of a telescope lens is 7903 rnrn2 {a) What is the area in square feet (ft2)? (b) If it takes a technician 45 s to polish 135 rnm2, how long does it take her to polish the entire lens?

Respuesta :

Answer:

Area is 0.08504[tex]ft^{2}[/tex] and [tex]2.6\times 10^{3}s[/tex] are needed for polishing

Explanation:

(a) ft is unit of F.P.S system whether mm is unit of M.K.S system.

According to unit conversion, [tex]1mm=0.00328ft[/tex]

So, [tex]1mm^{2}=(0.00328)^{2}ft^{2}=1.076\times 10^{-5}ft^{2}[/tex]

hence, [tex]7903mm^{2}=7903\times 1.076\times 10^{-5}ft^{2}=0.08504ft^{2}[/tex]

So, area of telescope lens is 0.08504[tex]ft^{2}[/tex]

(b)[tex]135mm^{2}[/tex] are polished in 45s

So, [tex]7903mm^{2}[/tex] are polished in [tex]\frac{45\times 7903}{135}s[/tex] or [tex]2.6\times 10^{3}s[/tex]