The acceleration of an object due to gravity is 32 feet per second squared. What is 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 squared
C. 384 inches per second squared
D. 1,024 inches per second squared
Answer (2)
The problem provides the acceleration due to gravity in feet per second squared.
Convert feet to inches using the conversion factor: 1 foot = 12 inches.
Multiply the given acceleration by the conversion factor: 32 × 12 = 384 .
The acceleration due to gravity in inches per second squared is 384 .
Explanation
Understanding the Problem We are given that the acceleration due to gravity is 32 feet per second squared. We need to convert this to inches per second squared. We know that 1 foot is equal to 12 inches.
Setting up the Conversion To convert feet per second squared to inches per second squared, we need to multiply by the conversion factor, which is 12 inches per foot. So, we have: 32 seco n d 2 f ee t × 12 f oo t in c h es
Performing the Calculation Now, we perform the multiplication: 32 × 12 = 384 So, the acceleration due to gravity is 384 inches per second squared.
Final Answer Therefore, the acceleration due to gravity in inches per second squared is 384.
Examples
Imagine you're designing a game where objects fall according to Earth's gravity. Knowing the acceleration due to gravity in different units (feet per second squared vs. inches per second squared) helps you accurately simulate the physics of falling objects in your game, making it more realistic and engaging for players. This conversion is also useful in engineering when calculating the impact force of falling objects, ensuring structures are built to withstand these forces.
The acceleration due to gravity is 32 feet per second squared. When converted to inches per second squared, this value becomes 384 inches per second squared. Therefore, the correct answer is C. 384 inches per second squared.
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