A hand-cranked honey extractor consists of a basket that spins inside a stationary outer container to extract honey from honeycombs. The principle of operation is as follows:
A tangential force of 8.0 N is applied to handle A. Handle A is located at a radius of 45 mm from its centre of rotation.
Calculate the input torque.
Gear C rotates five times for every one revolution of gear B. Deduce whether it is possible for the torque on gear C to be greater than one-fifth of the input torque.
It takes 3.2 s for the extractor basket to reach an angular speed of 48 rad s−148\text{ rad s}^{-1}48 rad s−1 from rest. The torque on gear C is a constant 0.060 N m during this time. Frictional losses are negligible. Calculate the moment of inertia of the basket about its axis of rotation.
The gears are made of polymer (plastic). Explain, with reference to angular impulse, why a large force is exerted on the gear teeth if the user attempts to stop the loaded basket too quickly using the handle.
