Question

Use dimensional analysis to convert the measurements. A dwarf sea horse swims at a rate of 49.68 feet per hour. Convert this speed to inches per minute. The speed is inches per minute.

Answer 1

9.936in/min

Explanation:

Given the rate at which a dwarf sea horse swims expressed as 49.68 feet per hour, to convert the speed to inches per minutes, the following conversion factors must be used.

1 foot = 12inches and 1 hour = 60 minutes

49.68 feet per hour can also be written as
`(49.68* 1 ft)/(1 hour)`

On conversion:

`= (49.68* 1 ft)/(1 hour) * (1 hour * 12 in)/(1 ft * 60min) \\\\= (49.68* 12in)/(60 min) \\\\= (596.16in)/(60 min)\\\\= 9.936 in/min`

Hence the speed expressed in inches per minute is 9.936in/min