45 mi/hr = ______ft/sec. Can you show me how to do this? Dimensional analysis?
Yes, dimentsional analysis
45mi/hr *5280ft/mi*3600sec/hr
Sure! To convert a speed measurement from miles per hour to feet per second, we can use dimensional analysis.
Step 1: Write down the given value, which is 45 miles per hour.
Step 2: Start with the conversion factor(s) needed to cancel out unwanted units and retain the desired units. In this case, we want to convert miles to feet and hours to seconds.
1 mile is equal to 5280 feet, and 1 hour is equal to 3600 seconds.
Therefore, we have the following conversion factors:
- 1 mile = 5280 feet
- 1 hour = 3600 seconds
Step 3: Set up the conversion using fractions and cancel out the undesired units.
We can write:
45 miles 1 hour 5280 feet
--------- × ---------- × ----------
1 hour 3600 seconds 1 mile
Step 4: Simplify and calculate the result.
By multiplying the numbers in the numerator and multiplying the numbers in the denominator, we get:
45 × 5280 ÷ 3600
Evaluating this expression, we find that 45 miles per hour is equal to 66 feet per second.
So, 45 miles per hour equals 66 feet per second.