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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 R rotates through 2 complete revolutions. Calculate how many... show full transcript
Step 1
Answer
To find the number of complete revolutions gear S makes, we first need to establish the gear ratio. The gear ratio is calculated by dividing the number of teeth on gear S by the number of teeth on gear R.
gear , ratio = \frac{teeth , on , gear , S}{teeth , on , gear , R} = \frac{60}{20} = 3:1.
This means that for every 1 revolution of gear R, gear S makes 1/3 of a revolution. Since gear R makes 2 complete revolutions:
Number , of , revolutions , by , gear , S = 2 \times \frac{1}{3} = \frac{2}{3}.
Therefore, gear S rotates 6 times.
Step 3
Answer
The effort is smaller than the load because the effort is applied at a greater distance from the fulcrum compared to the load. This means that the moments produced by the effort and the load are equal, thus allowing a smaller force to lift a larger load.
Step 4
Answer
It might be harder to push the wheelbarrow along when there is sand between the wheel and the axle because the sand can increase friction, making it more difficult for the wheel to rotate smoothly.
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