A small laboratory "mixing drum" is shown in the following figure. Drum "A" is rigidly attached to gear "B" and is supported by two small rollers at points "E" and "D". Gear "B" is rotated by gear "C" which is rotated by an electric motor. If the motor applies a constant torque of 30 Nm to gear "C", determine the angular velocity of drum "A" (in units of rev/min) after gear "C" rotates through 20 revolutions starting from rest. Gear "C" has a mass moment of inertia Ic = 0.7829 kg m² and the combination of gear "B" and drum “A” has a mass moment of inertia of IB/A = 9.475 kg m². iduod 300 mm 200 mm EO 150 mm Tc = 30 Nm B A D

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A small laboratory "mixing drum" is shown in the following figure. Drum "A" is rigidly attached to gear
"B" and is supported by two small rollers at points "E" and "D". Gear "B" is rotated by gear "C" which
is rotated by an electric motor. If the motor applies a constant torque of 30 Nm to gear "C", determine
the angular velocity of drum "A" (in units of rev/min) after gear "C" rotates through 20 revolutions starting
from rest. Gear "C" has a mass moment of inertia Ic : 0.7829 kg m² and the combination of gear "B"
and drum "A" has a mass moment of inertia of IB/A = 9.475 kg m².
=
i duod 300 mm,
on looge ode
200 mm-
EO
150 mm
Tc = 30 Nm
B
A
D
Answer: @A
=
251.5 rpm
Transcribed Image Text:A small laboratory "mixing drum" is shown in the following figure. Drum "A" is rigidly attached to gear "B" and is supported by two small rollers at points "E" and "D". Gear "B" is rotated by gear "C" which is rotated by an electric motor. If the motor applies a constant torque of 30 Nm to gear "C", determine the angular velocity of drum "A" (in units of rev/min) after gear "C" rotates through 20 revolutions starting from rest. Gear "C" has a mass moment of inertia Ic : 0.7829 kg m² and the combination of gear "B" and drum "A" has a mass moment of inertia of IB/A = 9.475 kg m². = i duod 300 mm, on looge ode 200 mm- EO 150 mm Tc = 30 Nm B A D Answer: @A = 251.5 rpm
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