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Figure 6 shows two gears - Edexcel - GCSE Physics - Question 3 - 2020 - Paper 1

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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

Worked Solution & Example Answer:Figure 6 shows two gears - Edexcel - GCSE Physics - Question 3 - 2020 - Paper 1

Step 1

Calculate how many complete revolutions gear R rotates by.

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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:

extGearRatio=6020=3:1 ext{Gear Ratio} = \frac{60}{20} = 3:1

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:

Revolutions of Gear R=2×13=23\text{Revolutions of Gear R} = 2 \times \frac{1}{3} = \frac{2}{3}

As a result, gear R rotates through 2 complete revolutions.

Step 2

Which of these describes the motion of gear T?

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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:

60 mm×2=120 mm up60\text{ mm} \times 2 = 120\text{ mm up}

Thus, the answer is: C 120 mm up.

Step 3

Calculate the moment of the 70N force about point P. State the unit.

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Answer

The moment (torque) about point P is calculated using the formula:

Moment=Force×Distance\text{Moment} = \text{Force} \times \text{Distance}

Given that the force is 70N and the distance from the pivot point is 0.40m, the moment is:

Moment=70N×0.40m=28Nm\text{Moment} = 70N \times 0.40m = 28 N\cdot m

The unit of moment is Newton-meter (N·m).

Step 4

Explain why the effort is smaller than the load.

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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:

  • The effort is at a greater distance from the fulcrum than the load.

Step 5

State why it might be harder to push the wheelbarrow along when there is some sand between the wheel and the axle.

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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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