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New volume = 200 liters - \( x \) - ECD Germany

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 The angular velocity \(\omega\) is defined as the rate of change of the angle with respect to time. For one complete rotation, the angle in radians is \(2\pi\). Since this occurs over \(t\) seconds, the angular velocity is calculated as:

📌 \omega = \frac{\text{Total angle}}{\text{Time for rotation}} = \frac{2\pi}{t}

📌 Thus, the angular velocity is:

📌 \boxed{\frac{2\pi}{t}}

📌 Question:** A science fiction writer describes a planet where two force fields, modeled by complex numbers \(z_1 = 3 + 4i\) and \(z_2 = 1 - 2i\), interact. Compute the product of these two force fields.

📌 To find the product of the two complex numbers \(z_1\) and \(z_2\), we use the distributive property of multiplication for complex numbers:

📌 z_1 \cdot z_2 = (3 + 4i)(1 - 2i)

📌 Expanding this, we get:

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