Consider The Conversion Of The Speed 156 Feet Per Second To Inches Per Minute. Which TWO Statements Are Correct?A. 156 Ft/s = 11 , 232 In/min 156 \, \text{ft/s} = 11,232 \, \text{in/min} 156 Ft/s = 11 , 232 In/min B. 156 Ft/s = 112 , 320 In/min 156 \, \text{ft/s} = 112,320 \, \text{in/min} 156 Ft/s = 112 , 320 In/min C. $\frac{156 ,
Converting Speed from Feet per Second to Inches per Minute: A Mathematical Analysis
When dealing with speed conversions, it's essential to understand the units involved and how to convert between them. In this article, we will explore the conversion of speed from feet per second to inches per minute. We will examine two statements and determine which ones are correct.
Before we dive into the conversion, let's understand the units involved:
- Feet per second (ft/s): This unit represents a speed of 1 foot per second.
- Inches per minute (in/min): This unit represents a speed of 1 inch per minute.
Converting Feet per Second to Inches per Minute
To convert feet per second to inches per minute, we need to perform two conversions:
- Convert feet to inches
- Convert seconds to minutes
Step 1: Convert Feet to Inches
There are 12 inches in 1 foot. Therefore, to convert feet to inches, we multiply the number of feet by 12:
1 foot = 12 inches
Step 2: Convert Seconds to Minutes
There are 60 seconds in 1 minute. Therefore, to convert seconds to minutes, we divide the number of seconds by 60:
1 minute = 60 seconds
Converting 156 ft/s to in/min
Now that we understand the conversions, let's apply them to the given speed of 156 ft/s:
- Convert 156 feet to inches: 156 ft × 12 in/ft = 1872 in
- Convert 1 second to minutes: 1 s ÷ 60 s/min = 1/60 min
- Multiply the number of inches by the number of minutes: 1872 in × 1/60 min = 31.2 in/min
Evaluating the Statements
Now that we have converted 156 ft/s to inches per minute, let's evaluate the given statements:
A. B. C.
Based on our calculation, statement C is the only correct statement. The other two statements are incorrect.
In conclusion, converting speed from feet per second to inches per minute requires a two-step process: converting feet to inches and converting seconds to minutes. By applying these conversions, we can accurately determine the speed in inches per minute. In this article, we evaluated two statements and determined that only one of them is correct.
Additional Tips and Considerations
When dealing with speed conversions, it's essential to understand the units involved and how to convert between them. Here are some additional tips and considerations:
- Always double-check your calculations to ensure accuracy.
- Use a calculator or a conversion chart to simplify the conversion process.
- Be aware of the different units of measurement and how they relate to each other.
By following these tips and considerations, you can ensure accurate speed conversions and make informed decisions in various fields, such as science, engineering, and sports.
Frequently Asked Questions: Converting Speed from Feet per Second to Inches per Minute
In our previous article, we explored the conversion of speed from feet per second to inches per minute. We discussed the two-step process of converting feet to inches and seconds to minutes. In this article, we will answer some frequently asked questions related to this conversion.
Q: What is the formula for converting feet per second to inches per minute?
A: The formula for converting feet per second to inches per minute is:
- Convert feet to inches: 1 foot = 12 inches
- Convert seconds to minutes: 1 minute = 60 seconds
- Multiply the number of inches by the number of minutes: (156 ft/s) × (12 in/ft) × (1/60 min) = 31.2 in/min
Q: How do I convert 100 ft/s to inches per minute?
A: To convert 100 ft/s to inches per minute, we can use the formula:
(100 ft/s) × (12 in/ft) × (1/60 min) = 20 in/min
Q: What is the difference between feet per second and inches per minute?
A: Feet per second (ft/s) is a unit of speed that represents a distance of 1 foot traveled in 1 second. Inches per minute (in/min) is a unit of speed that represents a distance of 1 inch traveled in 1 minute. The main difference between the two units is the time period used to measure the speed.
Q: Can I use a calculator to convert feet per second to inches per minute?
A: Yes, you can use a calculator to convert feet per second to inches per minute. Simply enter the value in feet per second and multiply it by 12 (to convert feet to inches) and then divide by 60 (to convert seconds to minutes).
Q: What are some real-world applications of converting speed from feet per second to inches per minute?
A: Converting speed from feet per second to inches per minute has several real-world applications, including:
- Measuring the speed of a baseball or softball
- Calculating the speed of a golf ball
- Determining the speed of a tennis ball
- Measuring the speed of a projectile in a physics experiment
Q: Can I use this conversion to calculate the speed of a car?
A: No, this conversion is not suitable for calculating the speed of a car. The speed of a car is typically measured in miles per hour (mph) or kilometers per hour (km/h). To convert feet per second to miles per hour, you would need to use a different conversion factor.
In conclusion, converting speed from feet per second to inches per minute is a useful skill to have in various fields, including science, engineering, and sports. By understanding the formula and the units involved, you can accurately determine the speed in inches per minute. We hope this article has answered some of your frequently asked questions and provided you with a better understanding of this conversion.
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