Torsion Spring Catapult Velocity

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marietta_ken
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I'm trying to design a simple torsion spring catapult to launch a 0.15kg ball at a velocity of 35 m/sec at the moment of separation. The ball will be in direct contact with the unrestrained end of the spring. As a starting point, I'm planning a 0.3m length for that "arm" end of the spring as measured from the center of the torsion coil. I'm also starting with an assumption of 45 degrees of contact/throw for the arm.

Can anyone help me define the torsion spring I need?
 
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are you building a pitching machine?