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 A cylindrical piece of material 12 in in diameter is rotated on a lathe at 1300 rev/min. What is the tangential velocity at the surface of the cylinder? Value 4 points

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Answer to a math question  A cylindrical piece of material 12 in in diameter is rotated on a lathe at 1300 rev/min. What is the tangential velocity at the surface of the cylinder? Value 4 points

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Murray

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92 Answers

1. Find angular velocity:

\omega = 1300 \times 2\pi \text{ radians per minute}

2. Calculate the radius:

r = \frac{12}{2} = 6 \text{ inches}

3. Use the formula for tangential velocity:

v = \omega \cdot r = (1300 \times 2\pi) \cdot 6 = 15600\pi \text{ inches per minute}

Answer:

v = 15600\pi \text{ inches per minute}

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