The hydraulic cylinder moves pin A to the right with a constant velocity v = 1.3
ID: 1862057 • Letter: T
Question
The hydraulic cylinder moves pin A to the right with a constant velocity v = 1.30 m/s. Find the angular velocity ? of the gear and the angular velocity ?ACof the rack AC. The distance r is 175 mm, the distance D is 620 mm, and the angle ? = 30
The hydraulic cylinder moves pin A to the right with a constant velocity v = 1.30 m/s. Find the angular velocity ? of the gear and the angular velocity ?ACof the rack AC. The distance r is 175 mm, the distance D is 620 mm, and the angle ? = 30 degree . The angular velocities are positive if counterclockwise, negative if clockwise.Explanation / Answer
w*r*cos30 -1.3 = 0
w*0.175*0.866 = 1.3
w = - 8.578 (clockwise)
w(ac) = v*sin30/d
= 1.3*0.5/0.62
= - 1.0484 (clockwise)
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