Question

what are the final units in the following dimensional analysis conversion? 10days × \frac{24hours}{1day} × \frac{3600seconds}{1hour} = hours seconds days minutes

Explanation:

Step1: Analyze unit - cancellation

The 'day' unit in 10 days cancels with the 'day' in the denominator of $\frac{24\text{ hours}}{1\text{ day}}$.

Step2: Analyze second - unit cancellation

The 'hour' unit in the numerator of $\frac{24\text{ hours}}{1\text{ day}}$ cancels with the 'hour' in the denominator of $\frac{3600\text{ seconds}}{1\text{ hour}}$.

Step3: Determine final unit

After all cancellations, the remaining unit is seconds.

Answer:

Seconds