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
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. 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=πDV
Substituting the given values:
Speed (V) = 36 m/s
Diameter (D) = 0.23 m
Calculating:
n=π×0.2336n≈49.82 rad/s
To convert rad/s to r/min, we multiply by 60:
n≈2989.35 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:
T2T1=2.5
Given:
Force in the slack side (T2) = 140 N
So:
T1=2.5×T2=2.5×140=350N
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×(TIN×TOUTTOUT×TIN)
Given:
Output frequency NOUTPUT=160 r/min
Calculating the input frequency:
36×40×6036×18×60⟹NINPUT=1380 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=NOUTPUTNINPUT
Given:
NINPUT=1380 r/min
NOUTPUT=160 r/min
VR=1601380≈8.625⟹VR≈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=4πD2=4π(0.04)2≈1.2566×10−3m2
Using the force on piston A:
Pa=AaFa=1.2566×10−3275N≈21884.00Pa
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=4πDb2=4π(0.075)2≈4.42×10−3m2
Using the pressure calculated:
Pb=Pa=21884.00PaFb=Pb×Ab=21884.00imes4.42×10−3≈967.32N
To get the mass:
Mass=gFb=10967.32≈96.73kg
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.