Question

Dimensional analysis: 1.35 kilometers per second= ? miles per hour

Answer 1

1.35 km 1000 m 100cm
----------- x ------------ x ----------
1 sec 1 km 1 m

Continued:

100 cm 1 in 1 ft 1 mi
----------- x ------------ x ------ x ---------
1 m 2.54 cm 12 in 5280 ft

Continued:

1 mi 3600sec
------------- x ---------------
5280 ft 1 hr

= 3019863994273

= 3.0199 x 10^3 mph

= 3019.86 mph


I apologize for all the work... I couldn't find a pen or pencil.

Answer 2

Dimensional analysis: 1.35 kilometers per second = 3019.86 miles per hour

Further explanation

Dimensional analysis, also known as factor-label method or unit-factor method, is a method used to convert one unit to a different unit.

Dimensional Analysis is a very basic aspect of measurement and has many applications such as in applied physics.

There are seven steps to do dimensional analysis:

1. Identify the starting factor.
2. Identify answer units.
3. Determine conversion factors needed.
4. Ensure the conversion factors are in the correct format.
5. Cancel units that appear in both the numerator and denominator.
6. Simplify the fractions.
7. Solve.

1.35 kilometers per second= ? miles per hour

So first we identify the starting factor:

1.35 km/second * 0.621 miles/km = 0.838 miles/sec (the km cancel out)

Next, we need to convert from seconds into hours. There are 60 second in a minute and 60 minutes in an hour, so there are 60*60=3600 second/hour. Thus,

0.838 miles/second * 3600 second/hour = 3019.86 miles/hour.

Learn more

1. Learn more about example of dimentional analysis solution brainly.com/question/4993038
2. Learn more about uses of conversion factors brainly.com/question/1851807
3. Learn more about miles per hour brainly.com/question/1763271
4. Learn more about dimentional analysis in bicycle brainly.com/question/8086790

Answer details

Grade:  9

Subject: Advanced Placement (AP)

Chapter:  Dimensional analysis

Keywords:  Dimensional analysis