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An artisan was instructed to design a hydraulic system that will be used to press bearings - NSC Mechanical Technology Fitting and Machining - Question 11 - 2021 - Paper 1

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An artisan was instructed to design a hydraulic system that will be used to press bearings. The force that is exerted onto the plunger is 25 kN. The specifications o... show full transcript

Worked Solution & Example Answer:An artisan was instructed to design a hydraulic system that will be used to press bearings - NSC Mechanical Technology Fitting and Machining - Question 11 - 2021 - Paper 1

Step 1

11.1.1 The fluid pressure in the hydraulic system in MPa

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Answer

To calculate the fluid pressure, we use the formula:

P=FAP = \frac{F}{A}

Where:

  • F=25 kN=25×103 N F = 25 \text{ kN} = 25 \times 10^3 \text{ N}
  • A=πd24=π(0.035)24=9.62×104 m2A = \frac{\pi d^2}{4} = \frac{\pi (0.035)^2}{4} = 9.62 \times 10^{-4} \text{ m}^2

Substituting these values:

P=25×1039.62×104=25984.5 kPa=25.98 MPaP = \frac{25 \times 10^3}{9.62 \times 10^{-4}} = 25984.5 \text{ kPa} = 25.98 \text{ MPa}

Step 2

11.1.2 The magnitude of the force that will be exerted onto the bearing by the ram

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Answer

Using the area of the ram:

A=πD24=π(0.12)24=11.31×102 m2A = \frac{\pi D^2}{4} = \frac{\pi (0.12)^2}{4} = 11.31 \times 10^{-2} \text{ m}^2

Next, we calculate the force:

F=P×A=25.98×106×11.31×102=293.88 kNF = P \times A = 25.98 \times 10^6 \times 11.31 \times 10^{-2} = 293.88 \text{ kN}

Step 3

11.2 State ONE function of a hydraulic reservoir.

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Answer

A hydraulic reservoir functions as a fluid storage tank, ensuring a supply of hydraulic fluid to the system.

Step 4

11.3 Give TWO reasons why pneumatic systems are very efficient.

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Answer

  1. Pneumatic tools are environmentally friendly.
  2. They are easy to use and require less power.

Step 5

11.4 State TWO uses of pneumatic systems.

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Answer

  1. Air blow guns.
  2. Nail guns.

Step 6

11.5.1 The rotational frequency of the pulley on the washing machine in r/s

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Answer

Using the equation for rotational speed:

N1D1=N2D2N_1D_1 = N_2D_2

Where:

  • D1=0.6 mD_1 = 0.6 \text{ m} (pulley diameter on the washing machine)
  • D2=0.8 mD_2 = 0.8 \text{ m} (diameter of the driving pulley)
  • N1=72 r/sN_1 = \frac{7}{2} \text{ r/s} (input speed)

Thus, N2=N1D1D2=3.5×0.60.8=5.4 r/sN_2 = \frac{N_1 D_1}{D_2} = \frac{3.5 \times 0.6}{0.8} = 5.4 \text{ r/s}

Step 7

11.5.2 The power that can be transmitted in kW

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Answer

The power can be calculated using:

P=(T1T2)×DN60P = \frac{(T_1 - T_2) \times D N}{60}

Where:

  • T1=300 N T_1 = 300 \text{ N} (tight side tension)
  • T2=120 N T_2 = 120 \text{ N} (slack side tension)
  • D=0.8 mD = 0.8 \text{ m}
  • N=5.4 r/sN = 5.4 \text{ r/s}

Thus:

P=(300120)×0.8×5.460=2.44 kWP = \frac{(300 - 120) \times 0.8 \times 5.4}{60} = 2.44 \text{ kW}

Step 8

11.6.1 The rotation frequency of the output shaft if the motor rotates at 2300 r/min

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Answer

Using the gear ratio formula:

Noutput=TA×TC×NATB×TDN_{output} = \frac{T_A \times T_C \times N_A}{T_B \times T_D}

Where:

  • TA=30T_A = 30, TB=40T_B = 40, TC=20T_C = 20, TD=60T_D = 60

Substituting: Noutput=30×20×230040×60=575 r/minN_{output} = \frac{30 \times 20 \times 2300}{40 \times 60} = 575 \text{ r/min}

Step 9

11.6.2 The ratio between the input shaft and the output shaft of the system.

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Answer

The gear ratio can be calculated with:

Gear ratio=Product of teeth on driven gearsProduct of teeth on driver gears=40×6030×20=4:1\text{Gear ratio} = \frac{\text{Product of teeth on driven gears}}{\text{Product of teeth on driver gears}} = \frac{40 \times 60}{30 \times 20} = 4:1

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