EXERCISE 1: CONVERTING UNITS WITH PIZZA The founder, owner, and creative genius behind Physics Pizza is Jocelyn Bell, who retired from physics research & teaching to pursue her other passion - pizza - while continuing to promote physics to the world. She has just hired you to work in her store: 1. "First, we've just got some pizza pans in, but they've come labeled in inches. Of course here we only work in SI units, so I need you to label them in centimeters and meters. When you convert from one unit to another, you are just multiplying by 1, but a strange-looking 1 - for example, (1000 g/1 kg) if you were converting from kg to grams. Don't forget that 1 inch = 2.54 cm." The first pan you encounter is 16 inches in diameter. What label do you put on it? (Show how you multiply by "1" to do the two unit conversions below.) 16 inches x cm x meters centimeters &

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Chapter1: Units, Trigonometry. And Vectors
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It has been a while since i have studied physics so please provide clear explanations and hand writing.
**EXERCISE 1: CONVERTING UNITS WITH PIZZA**

The founder, owner, and creative genius behind Physics Pizza is Jocelyn Bell, who retired from physics research & teaching to pursue her other passion – pizza – while continuing to promote physics to the world. She has just hired you to work in her store:

1. “First, we’ve just got some pizza pans in, but they’ve come labeled in inches. Of course here we only work in SI units, so I need you to label them in centimeters and meters. When you convert from one unit to another, you are just multiplying by 1, but a strange-looking 1 – for example, (1000 g/1 kg) if you were converting from kg to grams. Don’t forget that 1 inch = 2.54 cm.” The first pan you encounter is 16 inches in diameter. What label do you put on it? (Show how you multiply by “1” to do the two unit conversions below.)

\[
16 \text{ inches} \times \_\_\_\_\_\_\_\_\_ = \_\_\_\_\_ \text{ centimeters} \quad \& \quad \_\_\_\_\_\_ \text{ cm} \times \_\_\_\_\_\_\_\_\_ = \_\_\_\_\_ \text{ meters}
\]

2. “We’ve also got in these cans of tomato paste. It says 1 gallon, which is 0.134 ft³. What’s their volume in m³?” (You look up that 1 ft = 0.3048 meters.) At first you try:

\[
0.134 \text{ ft}^3 \times (0.3048 \text{ m / 1 ft}) = 0.0408 \text{ m}^3
\]

…but then realize that this conversion wasn’t correct. What was wrong with this unit conversion and what is the correct unit conversion?

---

**Additional Notes for Educators:**

- Emphasize to students the importance of understanding and applying unit conversions correctly.
- Highlight common pitfalls in unit conversions, especially when dealing with cubic units (cubing the conversion factor).
- Encourage students to double-check their work, particularly for multiple-step conversions.
- Provide additional exercises to reinforce these concepts.
Transcribed Image Text:**EXERCISE 1: CONVERTING UNITS WITH PIZZA** The founder, owner, and creative genius behind Physics Pizza is Jocelyn Bell, who retired from physics research & teaching to pursue her other passion – pizza – while continuing to promote physics to the world. She has just hired you to work in her store: 1. “First, we’ve just got some pizza pans in, but they’ve come labeled in inches. Of course here we only work in SI units, so I need you to label them in centimeters and meters. When you convert from one unit to another, you are just multiplying by 1, but a strange-looking 1 – for example, (1000 g/1 kg) if you were converting from kg to grams. Don’t forget that 1 inch = 2.54 cm.” The first pan you encounter is 16 inches in diameter. What label do you put on it? (Show how you multiply by “1” to do the two unit conversions below.) \[ 16 \text{ inches} \times \_\_\_\_\_\_\_\_\_ = \_\_\_\_\_ \text{ centimeters} \quad \& \quad \_\_\_\_\_\_ \text{ cm} \times \_\_\_\_\_\_\_\_\_ = \_\_\_\_\_ \text{ meters} \] 2. “We’ve also got in these cans of tomato paste. It says 1 gallon, which is 0.134 ft³. What’s their volume in m³?” (You look up that 1 ft = 0.3048 meters.) At first you try: \[ 0.134 \text{ ft}^3 \times (0.3048 \text{ m / 1 ft}) = 0.0408 \text{ m}^3 \] …but then realize that this conversion wasn’t correct. What was wrong with this unit conversion and what is the correct unit conversion? --- **Additional Notes for Educators:** - Emphasize to students the importance of understanding and applying unit conversions correctly. - Highlight common pitfalls in unit conversions, especially when dealing with cubic units (cubing the conversion factor). - Encourage students to double-check their work, particularly for multiple-step conversions. - Provide additional exercises to reinforce these concepts.
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