Physics - Rotation Question with Solution | TestHub
PhysicsRotationMiscellaneousMedium3 minQB
PhysicsMediumsingle choice
The two-gear combination shown in the drawing is being used to lift the load L with a constant upward speed of 2.50 m/s. The rope that is attached to the load is being wound onto a cylinder behind the big gear. The depth of the teeth of gears is negligible compared to the radii. Determine the angular velocity (magnitude) of the smaller gear.

Options:
Answer:
B
Solution:
The big cylinder rotates at ω_big=v/0.30=2.50/0.30.
At the gear contact, ω_small·0.17=ω_big·0.30.
Thus ω_small=250/17 rad/s.
Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous
⏱ 3mℹ️ Source: QB
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