P6.059 GO Multipart Part 1 Incorrect See Equation (6.7). The gear train shown transmits power from a motor to a machine at E. The motor turns at a frequency of 60 Hz. The diameter of solid shaft (1) is 25 mm, the diameter of solid shaft (2) is 36 mm, and the allowable shear stress for each shaft is 65 MPa. Assume $N_A$=30 teeth, $N_B$=90 teeth, $N_C$=36 teeth, and $N_D$=72 teeth. Determine (a) the maximum power that can be transmitted by the gear train. (b) the torque provided at gear E. (c) the rotation speed of gear E (in Hz).
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Determine the input power: The input power is the power supplied to the gear train. It can be calculated by multiplying the input torque (Tin) with the input angular velocity (ωin). Pinput = Tin * ωin. Show more…
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The gear train shown starts from rest and reaches an output speed of $\omega_{C}=240$ rev/min in 2.25 s. Rotation of the train is resisted by a constant $150 \mathrm{N} \cdot \mathrm{m}$ moment at the output gear $C .$ Determine the required input power to the $86 \%$ efficient motor at $A$ just before the final speed is reached. The gears have masses $m_{A}=6 \mathrm{kg}, m_{B}=10 \mathrm{kg},$ and $m_{C}=24 \mathrm{kg}$ pitch diameters $d_{A}=120 \mathrm{mm}, d_{B}=160 \mathrm{mm},$ and $d_{C}=240 \mathrm{mm},$ and centroidal radii of gyration $k_{A}=$ $48 \mathrm{mm}, k_{B}=64 \mathrm{mm},$ and $k_{C}=96 \mathrm{mm}$
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