Die meganiese werkswinkel benodig 'n hidrouliese pers. Die diameter van Suier B is 180 mm en beweeg 12 mm op. Die krag wat op Suier A toegespas word is 550 N. Suier A beweeg 60 mm af. Gebruik die spesifikasies soos aangedui in FIGUUR 9.1 en bereken die volgende: 9.1.1 Die diameter van Suier A 9.1.2 Die krag wat deur Suier A uitgeoefen word 9.1.3 Die druk wat op Suier B uitgeoefen word.

NSC Mechanical Technology Automotive Automotive calculations and applications: Die meganiese werkswinkel benodi

Die meganiese werkswinkel benodig 'n hidrouliese pers - NSC Mechanical Technology Automotive - Question 9 - 2017 - Paper 1

Question 9

Die meganiese werkswinkel benodig 'n hidrouliese pers. Die diameter van Suier B is 180 mm en beweeg 12 mm op. Die krag wat op Suier A toegespas word is 550 N. Suier ... show full transcript

Worked Solution & Example Answer:Die meganiese werkswinkel benodig 'n hidrouliese pers - NSC Mechanical Technology Automotive - Question 9 - 2017 - Paper 1

Step 1

Die diameter van Suier A

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Answer

First, we need to determine the volume of Suier B using the formula for the area and stroke length:

$V_B = A_B imes S_B$

Where:

$A_B = \pi \left(\frac{D_B}{2}\right)^2 = \pi \left(\frac{180 \, mm}{2} \right)^2 = 25446.9 \, mm^2$
Stroke length, $S_B = 12 \, mm = 0.012 \, m$

Thus,

$V_B = 25.4469 \times 10^{-3} \, m^2 \times 0.012 \, m = 0.3054 \times 10^{-3} \, m^3$

Next, we can find the diameter of Suier A, given the volume is the same:

$A_A = \frac{V_A}{S_A} = \frac{0.305 \times 10^{-3}}{0.06}$

Solving for $D_A$ :

$D_A = \sqrt{\frac{4 \times A_A}{\pi}} \approx 800 \, mm$

Step 2

Die krag wat deur Suier A uitgeoefen word

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Answer

To find the force exerted by Suier A, we apply the formula:

$P_A = \frac{F_A}{A_A}$

Given that the pressure $P_A$ is equal to $P_B$ , we also know:

$P_B = \frac{F_B}{A_B} = 108.268 \times 10^3 \, Pa$

Using the area calculated for Suier A:

$F_A = P_A \times A_A = 108.268 \times 10^3 \, Pa \times 0.055 \times 10^{-2} = 2.76 \, kN$

Step 3

Die druk wat op Suier B uitgeoefen word

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Answer

The pressure exerted on Suier B can be calculated using the area from above:

$F_B = P_B \times A_M$

Where:

$A_M = A_B = 108.268 \times 10^3 \times 25.45 \times 10^{-3}$

Thus,

$F_B = 2755.42 \, N = 2.76 \, kN$

Die meganiese werkswinkel benodig 'n hidrouliese pers - NSC Mechanical Technology Automotive - Question 9 - 2017 - Paper 1

Worked Solution & Example Answer:Die meganiese werkswinkel benodig 'n hidrouliese pers - NSC Mechanical Technology Automotive - Question 9 - 2017 - Paper 1

Die diameter van Suier A

Die krag wat deur Suier A uitgeoefen word

Die druk wat op Suier B uitgeoefen word

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