Question

To convert inches per second to feet per minute, which of the following conversion factors would be used? Select all that apply. 1 min/ 60 sec 60 min/1hr 60 sec/1min 12in/1ft 1hr/60min 1ft/12 in

Answer 1

Option 1 and 4 are correct.

Explanation:

To find : To convert inches per second to feet per minute, which of the following conversion factors would be used?

Solution :

To convert inches per second to feet per minute, we use the conversion

1 feet = 12 inches

1 inches =
`(1)/(12)` feet.

1 minute = 60 seconds

1 second =
`(1)/(60)` minute.

i.e. option 1 and 4 are correct.

Applying conversions,

`\frac{\text{inches}}{\text{second}}=\frac{(1)/(12)\text{ feet}}{(1)/(60)\text{ minute}}`

`\frac{\text{inches}}{\text{second}}=(60)/(12)\frac{\text{ feet}}{\text{ minute}}`

`\frac{\text{inches}}{\text{second}}=5\frac{\text{ feet}}{\text{ minute}}`

Answer 2

`(inch)/(sec)=5 feet/sec`

Explanation:

We have to change

inches / second into feet /min

and we know that

`1 inch=(1)/(12)feet`

`1 sec=(1)/(60)min`

now, we can replace these values

`(inch)/(sec)=((1)/(12) )/((1)/(60) ) feet/sec`

now, we can simplify it

`(inch)/(sec)=(1* 60 )/(12* 1) feet/sec`

`(inch)/(sec)=5 feet/sec`