How many seconds are in 2 hours? Conversion factors: 60 seconds = 1 minute, and 60 minutes = 1 hour. Show all work using dimensional analysis

To convert 2 hours to seconds using dimensional analysis, we can set up a proportion:

2 hours * (60 minutes / 1 hour) * (60 seconds / 1 minute) = 2 * 60 * 60 seconds

Using the conversion factors, we can cancel out the units we don't need:

2 * 60 * 60 = 7200 seconds

Therefore, there are 7200 seconds in 2 hours.

To convert hours to seconds using dimensional analysis, we will set up a conversion factor.

Given:
1 hour = 60 minutes
1 minute = 60 seconds

Step 1: Start with the given value
2 hours

Step 2: Multiply by the appropriate conversion factor(s)
2 hours * (60 minutes / 1 hour)

Step 3: Simplify
2 hours * 60 minutes

Step 4: Multiply by the next conversion factor
2 hours * 60 minutes * (60 seconds / 1 minute)

Step 5: Simplify
2 hours * 60 minutes * 60 seconds

Step 6: Calculate
(2 * 60 * 60) hours * minutes * seconds

Step 7: Perform the calculations
(2 * 3600) seconds

Step 8: Simplify
7200 seconds

Therefore, there are 7200 seconds in 2 hours.