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Question 3
Figure 6 shows two gears. Gear R and gear S can rotate. Gear R has 20 teeth. Gear S has 60 teeth. Gear S rotates through 2 complete revolutions. Calculate how m... show full transcript
Step 1
Answer
To find how many complete revolutions gear R rotates when gear S rotates through 2 revolutions, we first calculate the gear ratio. The gear ratio is given by the number of teeth on gear S to the number of teeth on gear R, which is:
This means for every complete revolution of gear S, gear R makes 1/3 of a revolution. Therefore, if gear S rotates through 2 complete revolutions, then:
As a result, gear R rotates through 2 complete revolutions.
Step 2
Answer
Since gear S has 60 teeth and moves 2 complete revolutions, gear T will have its motion described according to the distance moved by gear S. The movement of gear S translates to gear T as follows. With gear S moving 60 mm up per complete revolution, after one complete revolution, it will move:
Thus, the answer is: C 120 mm up.
Step 3
Step 4
Answer
The effort applied by the worker is smaller than the load due to the principle of leverage. The effort is exerted at a larger distance from the fulcrum compared to the load. This distance advantage allows a smaller force (effort) to balance the larger load because the moments about the fulcrum must be equal. Thus:
Step 5
Answer
Having sand between the wheel and the axle may create additional friction. This increased friction between the components makes it harder for the wheels to turn, resulting in more resistance when pushing the wheelbarrow. Essentially, more force will be required to overcome this friction, thus making it more difficult to move.
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