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Home » Principal \( P \) = $10,000 - Veritas Home Health

Principal \( P \) = $10,000 - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A robotic arm welds a pipe using a helical motion with a fixed pitch of 0.5 m per full turn. Over a length of 3 meters, how many full turns does it make? But question asks for time.

📌 But not aligned.

📌 A robotic welder moves along a helical track with a rise of 0.2 meters per revolution and a track diameter of 0.6 meters. If it travels 10 meters along the helix, what is the total time in seconds if speed is 0.4 m/s?

📌 First, helix pitch = 0.2 m/turn, diameter = 0.6 m → radius = 0.3 m.

📌 Length per turn = \( \sqrt{(\text{circumference})^2 + (\text{pitch})^2} = \sqrt{(2\pi \times 0.3)^2 + 0.2^2} = \sqrt{(1.884)^2 + 0.04} \approx \sqrt{3.549 + 0.04} = \sqrt{3.589} \approx 1.895 \) m.

📌 Number of turns in 10 m: \( \frac{10}{1.895} \approx 5.273 \).

📌 Total path length: \( 5.273 \times 1.895 \approx 10.0 \) m (approximately 10 m by design).

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