unit transformations homework 4 answer key

Lemon

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02-02-2025

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Unit Transformations Homework 4: Answer Key & Comprehensive Guide

This answer key provides solutions and explanations for a hypothetical Unit Transformations Homework 4. Since I don't have access to your specific assignment, I'll create a representative set of problems covering common unit transformation challenges. This will serve as a valuable resource for understanding the concepts and applying them to your own homework. Remember to always refer to your specific assignment instructions and provided formulas.

Section 1: Basic Unit Conversions

Problem 1: Convert 1500 centimeters to meters.

Answer: There are 100 centimeters in 1 meter. Therefore:

1500 cm * (1 m / 100 cm) = 15 m

Problem 2: Convert 2.5 kilograms to grams.

Answer: There are 1000 grams in 1 kilogram. Therefore:

2.5 kg * (1000 g / 1 kg) = 2500 g

Problem 3: Convert 3 hours to seconds.

Answer: There are 60 minutes in 1 hour and 60 seconds in 1 minute. Therefore:

3 hours * (60 min / 1 hour) * (60 sec / 1 min) = 10800 sec

Section 2: More Complex Unit Conversions

Problem 4: A car is traveling at 60 miles per hour. Convert this speed to meters per second. (Assume 1 mile ≈ 1609 meters)

Answer: This problem requires multiple steps. First, convert miles to meters, then hours to seconds:

60 miles/hour * (1609 m / 1 mile) * (1 hour / 3600 sec) ≈ 26.82 m/s

Problem 5: A rectangular field measures 250 yards by 100 yards. Calculate its area in square meters. (Assume 1 yard ≈ 0.9144 meters)

Answer: First, convert the dimensions to meters, then calculate the area:

Length: 250 yards * (0.9144 m / 1 yard) = 228.6 m Width: 100 yards * (0.9144 m / 1 yard) = 91.44 m

Area: 228.6 m * 91.44 m ≈ 20867.664 m²

Section 3: Volume and Density

Problem 6: A cube has sides of length 5 centimeters. What is its volume in cubic meters?

Answer: First calculate the volume in cubic centimeters, then convert to cubic meters:

Volume (cm³) = 5 cm * 5 cm * 5 cm = 125 cm³

1 m = 100 cm, so 1 m³ = 1,000,000 cm³

Volume (m³) = 125 cm³ * (1 m³ / 1,000,000 cm³) = 0.000125 m³

Problem 7: A substance has a density of 2.7 g/cm³. What is its density in kg/m³?

Answer: We need to convert grams to kilograms and cubic centimeters to cubic meters:

2.7 g/cm³ * (1 kg / 1000 g) * (100 cm / 1 m)³ = 2700 kg/m³

Conclusion:

This answer key provides a framework for solving unit transformation problems. Remember to always carefully analyze the units involved, use the correct conversion factors, and pay attention to significant figures in your calculations. If you have specific questions about your own homework problems, please provide the problem statements, and I will do my best to help. Remember to always check your work and ensure your final answer makes logical sense within the context of the problem.