Math Problem Statement
- If you are moving at a speed of 60 st mi/hr how fast are you moving in cm/sec? In ft/min
Solution
To convert a speed of 60 statute miles per hour (st mi/hr) into centimeters per second (cm/sec) and feet per minute (ft/min), we'll go step by step for both conversions.
Conversion from statute miles per hour to centimeters per second (cm/sec):
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Convert miles to kilometers:
- 1 statute mile = 1.60934 kilometers
- 60 miles = kilometers
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Convert kilometers to meters:
- 1 kilometer = 1000 meters
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Convert meters to centimeters:
- 1 meter = 100 centimeters
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Convert hours to seconds:
- 1 hour = 3600 seconds
- Speed in cm/sec =
So, 60 st mi/hr = 2,682.23 cm/sec.
Conversion from statute miles per hour to feet per minute (ft/min):
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Convert miles to feet:
- 1 statute mile = 5280 feet
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Convert hours to minutes:
- 1 hour = 60 minutes
- Speed in ft/min =
So, 60 st mi/hr = 5,280 ft/min.
Final Answer:
- 60 st mi/hr = 2,682.23 cm/sec
- 60 st mi/hr = 5,280 ft/min
Do you want more details or have any questions?
Here are some related questions for further practice:
- How do you convert kilometers per hour to feet per second?
- What is the speed of light in miles per second?
- How do you convert meters per second to miles per hour?
- If a car is traveling 45 miles per hour, how fast is that in meters per second?
- How do you convert centimeters per second to miles per hour?
Tip: Always keep track of unit conversions systematically to avoid errors!
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Speed
Distance
Time
Formulas
1 mile = 1.60934 kilometers
1 kilometer = 1000 meters
1 meter = 100 centimeters
1 hour = 3600 seconds
1 mile = 5280 feet
1 hour = 60 minutes
Theorems
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Suitable Grade Level
Grades 8-10