Write the conversion factors for each: cm/minute to in/second, km/h^2 to m/second^2, and mm^3 to cm^3?

1 Answer
Ernest Z.
Jun 17, 2017

#"1 cm/min = 0.006 56 in/s; 1 km/h"^2 = 7.72 × 10^"-5"color(white)(l) "m/s"^2; "1 mm"^3 = "0.001 cm"^3#

Explanation:

#"cm/min"# to #"in/s"#

#(1 color(red)(cancel(color(black)("cm"))))/(1 color(red)(cancel(color(black)("min")))) × ("1 in")/(2.54 color(red)(cancel(color(black)("cm")))) × (1 color(red)(cancel(color(black)("min"))))/("60 s") = "0.006 56 in/s"#

#"km/h"^2# to #"m/s"^2#

#(1 color(red)(cancel(color(black)("km"))))/(1 color(red)(cancel(color(black)("h"^2)))) × ("1000 m")/(1 color(red)(cancel(color(black)("km")))) × ((1 color(red)(cancel(color(black)("h"))))/("3600 s"))^2 = 7.72 × 10^"-5"color(white)(l) "m/s"^2#

#"mm"^3# to #"cm"^3#

#1 color(red)(cancel(color(black)("mm"^3))) × (("1 cm")/(10color(red)(cancel(color(black)("mm")))))^3 = "0.001 cm"^3#

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