I am new to learning about dimensional analysis and I am confused with a question. I am supposed to convert 45 km/day to inches/week. I would like to have all work shown. The work I have so far is shown below, I am not sure how to convert days to week and if I am supposed to multiply or divide by 7.
45 km/day to inches/week 45km * 1000m/1km * 1000mm/1m * 1cm/10mm * 1 in/2.54 cm
So so far I have that 45km is 1771653.543 inches/day. I am not sure how to convert this to weeks now. Any help is appreciated thank you!!
You want "weeks" in the denominator, so you need to find some way days relate to weeks. We know that there are 7 days in 1 week, so we use that relation here. The reason we want weeks in the denominator and thus days in the numerator is because we want "days" to cancel algebraically. So: $${1771653.543 \text{ inches}\over 1 \text{ day}} \cdot \left({7 \text{ days}\over 1 \text{ week}}\right) = \;\;\;\;\cdots?$$