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1. ### Pitch for a 3d hyperbolic spiral

Alpha is the angle typically in the range from 0 (zero) to 2 phi. X is a multiplication symbol
2. ### Pitch for a 3d hyperbolic spiral

Hi, have worked out the formula for a hyperbolic spiral space curve to be r(t)=1/t X cos(alpha)+1/t X sine(alpha) + t and obtained the tangent vector T, normal vector N, and curvature (kappa) with the z axis being the central axis of the spiral. Am having trouble finding the formula for the...
3. ### Torque for a radial vane water pump

Have a spinning rotor/impellor with open channels directed radially outward (similiar to a radial vane centrifigal pump with 90 degree straight blades - such as an older automotive heater fan ). The channels have constant area from the inner to outer radius. Realize this isn't a very efficient...
4. ### Centripetal force of rotating mass vs. flowing mass

Thanks OxDEADBEEF for the reply. Excellent point about the particles moving on a spiral track. My question came from working on a lawn sprinkler design and was confused on the stresses on the attached bends whether the force would increase with an increase in flow (not due to velocity but due to...
5. ### Centripetal force of rotating mass vs. flowing mass

Hi, thanks in advance for any help and info. Have two conditions. The first condition is a mass of water spinning as a fixed mass. Say we have a rectangular mass .25 inches tall, 2 inches long and .50 thick spinning at 3000 RPM with its center of mass at R = 2.00 inches. (Please see first...