QuestionJuly 3, 2025

Calculate the extend speed of a cylinder,given the flow rate and piston diameter. R=4lpm D=3cm 501.24cm/min 565.77cm/min 610.37cm/min

Calculate the extend speed of a cylinder,given the flow rate and piston diameter. R=4lpm D=3cm 501.24cm/min 565.77cm/min 610.37cm/min
Calculate the extend speed of a cylinder,given the flow rate and piston diameter. R=4lpm D=3cm 501.24cm/min 565.77cm/min 610.37cm/min

Solution
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Answer

565.77 cm/min Explanation 1. Convert flow rate to cubic centimeters per minute R = 4 \text{ lpm} = 4000 \text{ cm}^3/\text{min} 2. Calculate piston area Area A = \pi \left(\frac{D}{2}\right)^2 = \pi \left(\frac{3}{2}\right)^2 = \pi \times 2.25 \approx 7.0686 \text{ cm}^2 3. Calculate extend speed Extend Speed v = \frac{R}{A} = \frac{4000}{7.0686} \approx 565.77 \text{ cm/min}

Explanation

1. Convert flow rate to cubic centimeters per minute<br /> $R = 4 \text{ lpm} = 4000 \text{ cm}^3/\text{min}$<br /><br />2. Calculate piston area<br /> Area $A = \pi \left(\frac{D}{2}\right)^2 = \pi \left(\frac{3}{2}\right)^2 = \pi \times 2.25 \approx 7.0686 \text{ cm}^2$<br /><br />3. Calculate extend speed<br /> Extend Speed $v = \frac{R}{A} = \frac{4000}{7.0686} \approx 565.77 \text{ cm/min}$
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