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Useful Equations - EML2322L MAE Design and Manufacturing...

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EML2322L -- MAE Design and Manufacturing Laboratory Useful Motor/Torque Equations for EML2322L Force (N) F = m x a m = mass (kg) a = acceleration (m/sec 2 ) Motor Torque (N-m) T = F x d F = force (N) d = moment arm (m) Power (W) P = I x V I = current (amps) V = voltage (V) P = T x ω T = torque (N-m) ω = angular velocity (rad/sec) Unit Conversions Length: 1 in = 0.0254 m Velocity: 1 RPM = 0.11 rad/sec Torque: 1 in-lb = 0.11 N-m Power: 1 HP = 745.7 W = 550 lb-ft/sec
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Example 1 Determine if the following motor can be used to lift a 5kg load using a 0.5m lever arm. Merkle-Korff Gearmotor specifications Stall Torque = 40 lb-in Stall Current = 3.5 amps Solution Convert stall torque from in-lb to N-m: 1 in-lb = 0.112985 N-m 40 in-lb = 40 x 0.112985 N-m = 4.5194 N-m Calculate the force required to lift the 5-kg load: F = m x a = 5 kg x 9.81 m/s 2 = 49.05 N Calculate the torque required to lift the force with the lever arm: T = F x d = 49.05 N x 0.5 m = 24.525 N-m We cannot perform the lift with this set-up, because the stall torque is smaller than the torque required for the lift. We must either shorten the length of the lever arm,
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