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Calculate the: 9.1.1 Rotation frequency of the driver pulley in r/min (4) 9.1.2 Power transmitted in this system (4) 9.2 Figure 9.2 shows a gear-drive system - NSC Mechanical Technology Automotive - Question 9 - 2016 - Paper 1

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Question 9

Calculate-the:--9.1.1-Rotation-frequency-of-the-driver-pulley-in-r/min-(4)--9.1.2-Power-transmitted-in-this-system-(4)--9.2-Figure-9.2-shows-a-gear-drive-system-NSC Mechanical Technology Automotive-Question 9-2016-Paper 1.png

Calculate the: 9.1.1 Rotation frequency of the driver pulley in r/min (4) 9.1.2 Power transmitted in this system (4) 9.2 Figure 9.2 shows a gear-drive system. Dri... show full transcript

Worked Solution & Example Answer:Calculate the: 9.1.1 Rotation frequency of the driver pulley in r/min (4) 9.1.2 Power transmitted in this system (4) 9.2 Figure 9.2 shows a gear-drive system - NSC Mechanical Technology Automotive - Question 9 - 2016 - Paper 1

Step 1

Rotation frequency of the driver pulley in r/min

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Answer

To calculate the rotation frequency of the driver pulley, we can use the formula: n=VπDn = \frac{V}{\pi D}

Substituting the given values:

  • Speed (V) = 36 m/s
  • Diameter (D) = 0.23 m

Calculating: n=36π×0.23n49.82 rad/sn = \frac{36}{\pi \times 0.23} \\ n \approx 49.82 \text{ rad/s}

To convert rad/s to r/min, we multiply by 60: n2989.35 r/minn \approx 2989.35 \text{ r/min}

Step 2

Power transmitted in this system

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Answer

First, we can find the tension difference in the belt using the ratio: T1T2=2.5\frac{T_1}{T_2} = 2.5 Given:

  • Force in the slack side (T2) = 140 N

So: T1=2.5×T2=2.5×140=350NT_1 = 2.5 \times T_2 = 2.5 \times 140 = 350 N

To calculate power transmitted:

P = (350 - 140) \times 36 = 7560 W \\ P \approx 7.56 \text{ kW}$$

Step 3

Rotation frequency of the input shaft on the electric motor if the output shaft needs to rotate at 160 r/min

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Answer

Using the gear ratio formula: NINPUT=NOUTPUT×(TOUT×TINTIN×TOUT)N_{INPUT} = N_{OUTPUT} \times \left( \frac{T_{OUT} \times T_{IN}}{T_{IN} \times T_{OUT}} \right) Given:

  • Output frequency NOUTPUT=160N_{OUTPUT} = 160 r/min Calculating the input frequency: 36×18×6036×40×60    NINPUT=1380 r/min\frac{36 \times 18 \times 60}{36 \times 40 \times 60} \implies N_{INPUT} = 1380 \text{ r/min}

Step 4

Velocity ratio between the input shaft and output shaft

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Answer

The velocity ratio (VR) can be calculated as: VR=NINPUTNOUTPUTVR = \frac{N_{INPUT}}{N_{OUTPUT}} Given:

  • NINPUT=1380N_{INPUT} = 1380 r/min
  • NOUTPUT=160N_{OUTPUT} = 160 r/min

VR=13801608.625    VR8.63VR = \frac{1380}{160} \approx 8.625 \\ \implies VR \approx 8.63

Step 5

Fluid pressure in the hydraulic system when in equilibrium

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Answer

The fluid pressure can be calculated using the area of piston A: Aa=πD24=π(0.04)241.2566×103m2A_a = \frac{\pi D^2}{4} = \frac{\pi (0.04)^2}{4} \approx 1.2566 \times 10^{-3} m^2

Using the force on piston A: Pa=FaAa=275N1.2566×10321884.00PaP_a = \frac{F_a}{A_a} = \frac{275 N}{1.2566 \times 10^{-3}} \approx 21884.00 \, Pa

Step 6

Load in kilogram that can be lifted by piston B if a force of 275 N is exerted on piston A

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Answer

Calculating the area of piston B: Ab=πDb24=π(0.075)244.42×103m2A_b = \frac{\pi D_b^2}{4} = \frac{\pi (0.075)^2}{4} \approx 4.42 \times 10^{-3} m^2

Using the pressure calculated: Pb=Pa=21884.00PaP_b = P_a = 21884.00 \, Pa Fb=Pb×Ab=21884.00imes4.42×103967.32NF_b = P_b \times A_b = 21884.00 imes 4.42 \times 10^{-3} \approx 967.32 \, N

To get the mass: Mass=Fbg=967.321096.73kgMass = \frac{F_b}{g} = \frac{967.32}{10} \approx 96.73 \, kg

Step 7

What is the purpose of traction control in a vehicle?

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Answer

The purpose of traction control is to enhance vehicle stability by preventing wheel spin during acceleration. It helps maintain grip on the road, improving overall safety and control.

Step 8

Explain the meaning of the term passive safety feature.

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Answer

Passive safety features, such as airbags, are designed to protect vehicle occupants during a collision without requiring any action from them. These systems automatically activate to reduce injuries, making them crucial for vehicle safety.

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