Respuesta :
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.
----------- 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.
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:
- Identify the starting factor.
- Identify answer units.
- Determine conversion factors needed.
- Ensure the conversion factors are in the correct format.
- Cancel units that appear in both the numerator and denominator.
- Simplify the fractions.
- 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
- Learn more about example of dimentional analysis solution https://brainly.com/question/4993038
- Learn more about uses of conversion factors https://brainly.com/question/1851807
- Learn more about miles per hour https://brainly.com/question/1763271
- Learn more about dimentional analysis in bicycle https://brainly.com/question/8086790
Answer details
Grade: 9
Subject: Advanced Placement (AP)
Chapter: Dimensional analysis
Keywords: Dimensional analysis