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Example 16Vertical-Rotating Beam Driven by Air CylinderωSRCKRSCyl Dia. = 3 in.PSI = 70w = 3 rad./sec.W = 1,900 lbs. at C.G.K = 20 in. to beam C.G.S = 2 in. *C = 100/hr.RS = 32 in.Vs = Vel. @ Rs (ft./sec.)Rc = 18 in.I = W x K² / [386] = 1,900 x 20² / [386] = 1,969 in.-lbs./sec.²F = .78 x D² x PSI x RC / [ RS ]= .78 x 3² x 70 x 18 / [32] = 276 lbs.E 1= I x w² / [2] = 1,969 / [2] x 3² = 8,861 in-lbs.E 2= F x S = 276 x 2 = 552 in.-lbs.E 3= E 1+ E 2= 8,861 + 552 = 9,413 in.-lbs.E 4= E 3x C = 9,413 x 100 = 941,300 in.-lbs./hr.VS = 0.83 x RS x w = 0.83 x 32 x 3 = 8.00 ft./sec.WE = E 3/ [.2VS²] = 9,413 / [.2(8)²] = 735 lbs.Model Selection: SALD 1-1/8 x 2*Note: These items will vary with individual applications and were selected for illustration purposes only.Example 17Vertical-Motor Driven Rotating Arm with Attached Load Opposing GravityαRSModel Selection: SALD ¾ x 2S(T) DRIVETORQUEKωW = 150 lbs.K = 36 in.Rs = 27 in.w = 3 rad./sec.a = 30ºT = 3,000 in.-lbs.S = 2 in. *C = 175/hr.Vs = Vel. @ Rs (ft./sec.)I = W / [386] x K² = 150 / [386] x 36² = 504 in.-lbs./sec.²F = T - W x K x Sin a / [RS] = 3,000 - (150 x 36 x 0.5) / 27 = 11 lbs.E 1= I x w² / [2] = 504 x 3² / [2] = 2,268 in-lbs.E 2= F x S = 11 x 2 = 22 in.-lbs.E 3= E 1+ E 2= 2,268 + 22 = 2,290 in.-lbs.E 4= E 3x C = 2,290 x 175 = 400,750 in.-lbs./hr.VS = .083 x RS x w = .083 x 27 x 3 = 6.72 ft./sec.WE = E 3/ [.2VS²] = 2,290 / [.2(6.72)²] = 254 lbs.General InformationExample 18Vertical-Motor Driven Rotating Arm with Attached Load Aided by Gravity(W)WEIGHTαSRSωK(T) DRIVE TORQUEW = 350 lbs.K = 36 in.Rs = 27 in.w = 3 rad./sec.a = 40ºT = 2,500 in.-lbs.S = 2 in. *C = 175/hr.Vs = Vel. @ Rs (ft./sec.)I = W x K² / [386] = 350 / [386] x 36² = 1,175 in.-lbs./sec.²F = T + W x K x Sin a / [RS]= 2,500 + (350 x 36 x .643) / [27] = 393 lbs.E 1= I x w² / [2] = 1,175 x 3² / [2] = 5,288 in-lbs.E 2= F x S = 393 x 2 = 786 in.-lbs.E 3= E 1+ E 2= 5,288 + 786 = 6,074 in.-lbs.E 4= E 3x C = 6,074 x 175 = 1,062,950 in.-lbs./hr.VS = 0.83 x RS x w = 0.83 x 27 x 3 = 6.72 ft./sec.WE= E 3/ [.2VS²] = 6,074 / [.2(6.72)²] = 673 lbs.Model Selection: SALD 1-1/8 x 2*Note: These items will vary with individual applications and were selected for illustration purposes only.23435 Industrial Park Dr., Farmington Hills, MI 48335 • p: 734-595-4500f: 734-595-6410 • customerservice@enertrols.com • www.enertrols.com16

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