There are two practical usage of this object.
One is to turn it.
The other is to tear a part of it.
Therefore, there are two possible mechanical advantage of each movement.
Assumption : People pull off paper perpendicularly to the roll.
1. TURN (wheel)
Force is applied, and it is increased by the distance (11.43 cm).
Torque force is F*.11
Actual applied force is acted 2.5 cm away from center.
Therefore, .11/.025 = 4.4 is MA
2. TEAR (lever)
F*x = force of tearing
The force of resistance is acted at the center of mass, which is x/2
Therefore, MA is 2
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