The Acceleration Of An Object Due To Gravity Is 32 Feet Per Second Squared. What Is The Acceleration Due To Gravity In Inches Per Second Squared?A. \[$\frac{3}{8}\$\] Inches Per Second Squared B. \[$2 \frac{2}{3}\$\] Inches Per Second

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The Acceleration of an Object Due to Gravity: Understanding the Conversion from Feet to Inches

When it comes to understanding the fundamental forces of nature, gravity is one of the most fascinating and complex phenomena. The acceleration due to gravity, denoted by 'g', is a crucial concept in physics that describes the rate at which objects fall towards the ground. In this article, we will delve into the world of gravity and explore the conversion of acceleration due to gravity from feet per second squared to inches per second squared.

The Acceleration Due to Gravity in Feet Per Second Squared

The acceleration due to gravity on Earth is approximately 32 feet per second squared (ft/s^2). This value is widely accepted and used in various fields, including physics, engineering, and astronomy. The acceleration due to gravity is a result of the gravitational force exerted by the Earth on an object, which is proportional to the mass of the object and inversely proportional to the square of the distance between the object and the center of the Earth.

Converting Feet to Inches

To convert the acceleration due to gravity from feet per second squared to inches per second squared, we need to understand the relationship between feet and inches. There are 12 inches in 1 foot, which means that 1 foot is equal to 12 inches. To convert a value from feet to inches, we can multiply it by 12.

Converting 32 Feet Per Second Squared to Inches Per Second Squared

Now that we know the relationship between feet and inches, we can convert the acceleration due to gravity from feet per second squared to inches per second squared. To do this, we can multiply the value of 32 ft/s^2 by 12, which gives us:

32 ft/s^2 × 12 = 384 in/s^2

However, this is not the correct answer. We need to consider the fact that there are 12 inches in 1 foot, which means that 1 foot is equal to 12 inches. Therefore, we can rewrite the equation as:

32 ft/s^2 × (12 in/1 ft) = 32 × 12 in/s^2

This simplifies to:

384 in/s^2

But wait, we're not done yet! We need to simplify this fraction further. To do this, we can divide both the numerator and the denominator by their greatest common divisor, which is 8.

384 ÷ 8 = 48

So, the acceleration due to gravity in inches per second squared is actually:

48 inches per second squared

In conclusion, the acceleration due to gravity on Earth is approximately 32 feet per second squared. To convert this value to inches per second squared, we need to multiply it by 12, which gives us 384 in/s^2. However, we can simplify this fraction further by dividing both the numerator and the denominator by their greatest common divisor, which is 8. This gives us a final answer of 48 inches per second squared.

The acceleration due to gravity is a fundamental concept in physics that describes the rate at which objects fall towards the ground. In this article, we explored the conversion of acceleration due to gravity from feet per second squared to inches per second squared. We learned that there are 12 inches in 1 foot, which means that 1 foot is equal to 12 inches. We also learned how to simplify fractions by dividing both the numerator and the denominator by their greatest common divisor.

  • [1] Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of physics. John Wiley & Sons.
  • [2] Serway, R. A., & Jewett, J. W. (2018). Physics for scientists and engineers. Cengage Learning.
  • [1] Khan Academy: Acceleration due to gravity
  • [2] Physics Classroom: Acceleration due to gravity
  • [3] Wolfram Alpha: Acceleration due to gravity
    The Acceleration of an Object Due to Gravity: Understanding the Conversion from Feet to Inches - Q&A

In our previous article, we explored the concept of acceleration due to gravity and how to convert it from feet per second squared to inches per second squared. We learned that the acceleration due to gravity on Earth is approximately 32 feet per second squared and that we can convert this value to inches per second squared by multiplying it by 12. However, we also simplified the fraction further by dividing both the numerator and the denominator by their greatest common divisor, which is 8. This gave us a final answer of 48 inches per second squared.

Q: What is the acceleration due to gravity on Earth?

A: The acceleration due to gravity on Earth is approximately 32 feet per second squared.

Q: How do I convert the acceleration due to gravity from feet per second squared to inches per second squared?

A: To convert the acceleration due to gravity from feet per second squared to inches per second squared, you can multiply the value of 32 ft/s^2 by 12.

Q: Why do I need to multiply the acceleration due to gravity by 12 to convert it from feet per second squared to inches per second squared?

A: You need to multiply the acceleration due to gravity by 12 because there are 12 inches in 1 foot. This means that 1 foot is equal to 12 inches.

Q: How do I simplify the fraction 384 in/s^2 further?

A: To simplify the fraction 384 in/s^2 further, you can divide both the numerator and the denominator by their greatest common divisor, which is 8.

Q: What is the final answer for the acceleration due to gravity in inches per second squared?

A: The final answer for the acceleration due to gravity in inches per second squared is 48 inches per second squared.

Q: What are some real-world applications of the acceleration due to gravity?

A: The acceleration due to gravity has many real-world applications, including:

  • Physics and engineering: The acceleration due to gravity is used to calculate the motion of objects under the influence of gravity.
  • Astronomy: The acceleration due to gravity is used to calculate the orbits of planets and other celestial bodies.
  • Geology: The acceleration due to gravity is used to calculate the density of rocks and other geological materials.
  • Sports: The acceleration due to gravity is used to calculate the trajectory of projectiles, such as baseballs and golf balls.

In conclusion, the acceleration due to gravity is a fundamental concept in physics that describes the rate at which objects fall towards the ground. We learned how to convert the acceleration due to gravity from feet per second squared to inches per second squared and simplified the fraction further by dividing both the numerator and the denominator by their greatest common divisor. We also explored some real-world applications of the acceleration due to gravity.

The acceleration due to gravity is a crucial concept in physics that has many real-world applications. In this article, we explored the conversion of acceleration due to gravity from feet per second squared to inches per second squared and simplified the fraction further. We also discussed some real-world applications of the acceleration due to gravity.

  • [1] Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of physics. John Wiley & Sons.
  • [2] Serway, R. A., & Jewett, J. W. (2018). Physics for scientists and engineers. Cengage Learning.
  • [1] Khan Academy: Acceleration due to gravity
  • [2] Physics Classroom: Acceleration due to gravity
  • [3] Wolfram Alpha: Acceleration due to gravity