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The turning moment diagram for a four stroke gas engine may be assumed for simplicity to be represented by four triangles, the areas of which from the line of zero pressure are as follows: Expansion stroke = 3550 mm2; exhaust stroke = 500 mm2; suction stroke = 350 mm2; and compression stroke = 1400 mm2. Each mm2 represents 3 N-m. Assuming the resisting moment to be uniform, find the mass of the rim of a flywheel required to keep the mean speed 200 r.p.m. within ± 2%. The mean radius of t?
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The turning moment diagram for a four stroke gas engine may be assumed...
Calculation of Turning Moment
The turning moment diagram for a four-stroke gas engine can be represented by four triangles, each corresponding to a different stroke. The areas of these triangles, measured from the line of zero pressure, are given as follows:
- Expansion stroke = 3550 mm^2
- Exhaust stroke = 500 mm^2
- Suction stroke = 350 mm^2
- Compression stroke = 1400 mm^2
It is also given that each mm^2 represents 3 N-m of torque.
To find the total turning moment of the engine, we need to calculate the area under the turning moment diagram. Since the diagram is represented by triangles, the area of each triangle can be calculated using the formula for the area of a triangle:
Area = (base * height) / 2
Calculation of Total Turning Moment
- Turning Moment of Expansion Stroke:
Area = (base * height) / 2 = (3550 * 3) / 2 = 5325 N-m
- Turning Moment of Exhaust Stroke:
Area = (base * height) / 2 = (500 * 3) / 2 = 750 N-m
- Turning Moment of Suction Stroke:
Area = (base * height) / 2 = (350 * 3) / 2 = 525 N-m
- Turning Moment of Compression Stroke:
Area = (base * height) / 2 = (1400 * 3) / 2 = 2100 N-m
Total Turning Moment:
Total Turning Moment = 5325 + 750 + 525 + 2100 = 8700 N-m
Calculation of Resisting Moment
The resisting moment is assumed to be uniform. Since the mean speed is 200 r.p.m within ± 2%, the actual speed can vary between 196 and 204 r.p.m.
To calculate the resisting moment, we need to convert the speed from r.p.m to radians per second. The formula for converting r.p.m to radians per second is:
Angular speed (in rad/s) = (2 * π * speed) / 60
Calculation of Resisting Moment:
- Lower Limit of Speed:
Angular speed = (2 * π * 196) / 60 ≈ 40.97 rad/s
- Upper Limit of Speed:
Angular speed = (2 * π * 204) / 60 ≈ 42.64 rad/s
The resisting moment can be calculated using the formula:
Resisting Moment = Total Turning Moment / Angular Speed
- Lower Limit of Resisting Moment:
Resisting Moment = 8700 / 40.97 ≈ 212.31 N-m
- Upper Limit of Resisting Moment:
Resisting Moment = 8700 / 42.64 ≈ 204.15 N-m
Calculation of Mass of Flywheel Rim
The resisting moment can be assumed to act at the rim of the flywheel. The mass of the flywheel rim can be calculated using the formula:
Mass = (Resisting Moment * Radius) / (Acceleration due to Gravity * Velocity^2)
Since the mean speed is given, we can assume the velocity to be the mean speed. The radius of the flywheel is
The turning moment diagram for a four-stroke gas engine can be represented by four triangles, each corresponding to a different stroke. The areas of these triangles, measured from the line of zero pressure, are given as follows:
- Expansion stroke = 3550 mm^2
- Exhaust stroke = 500 mm^2
- Suction stroke = 350 mm^2
- Compression stroke = 1400 mm^2
It is also given that each mm^2 represents 3 N-m of torque.
To find the total turning moment of the engine, we need to calculate the area under the turning moment diagram. Since the diagram is represented by triangles, the area of each triangle can be calculated using the formula for the area of a triangle:
Area = (base * height) / 2
Calculation of Total Turning Moment
- Turning Moment of Expansion Stroke:
Area = (base * height) / 2 = (3550 * 3) / 2 = 5325 N-m
- Turning Moment of Exhaust Stroke:
Area = (base * height) / 2 = (500 * 3) / 2 = 750 N-m
- Turning Moment of Suction Stroke:
Area = (base * height) / 2 = (350 * 3) / 2 = 525 N-m
- Turning Moment of Compression Stroke:
Area = (base * height) / 2 = (1400 * 3) / 2 = 2100 N-m
Total Turning Moment:
Total Turning Moment = 5325 + 750 + 525 + 2100 = 8700 N-m
Calculation of Resisting Moment
The resisting moment is assumed to be uniform. Since the mean speed is 200 r.p.m within ± 2%, the actual speed can vary between 196 and 204 r.p.m.
To calculate the resisting moment, we need to convert the speed from r.p.m to radians per second. The formula for converting r.p.m to radians per second is:
Angular speed (in rad/s) = (2 * π * speed) / 60
Calculation of Resisting Moment:
- Lower Limit of Speed:
Angular speed = (2 * π * 196) / 60 ≈ 40.97 rad/s
- Upper Limit of Speed:
Angular speed = (2 * π * 204) / 60 ≈ 42.64 rad/s
The resisting moment can be calculated using the formula:
Resisting Moment = Total Turning Moment / Angular Speed
- Lower Limit of Resisting Moment:
Resisting Moment = 8700 / 40.97 ≈ 212.31 N-m
- Upper Limit of Resisting Moment:
Resisting Moment = 8700 / 42.64 ≈ 204.15 N-m
Calculation of Mass of Flywheel Rim
The resisting moment can be assumed to act at the rim of the flywheel. The mass of the flywheel rim can be calculated using the formula:
Mass = (Resisting Moment * Radius) / (Acceleration due to Gravity * Velocity^2)
Since the mean speed is given, we can assume the velocity to be the mean speed. The radius of the flywheel is
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The turning moment diagram for a four stroke gas engine may be assumed for simplicity to be represented by four triangles, the areas of which from the line of zero pressure are as follows: Expansion stroke = 3550 mm2; exhaust stroke = 500 mm2; suction stroke = 350 mm2; and compression stroke = 1400 mm2. Each mm2 represents 3 N-m. Assuming the resisting moment to be uniform, find the mass of the rim of a flywheel required to keep the mean speed 200 r.p.m. within ± 2%. The mean radius of t?
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The turning moment diagram for a four stroke gas engine may be assumed for simplicity to be represented by four triangles, the areas of which from the line of zero pressure are as follows: Expansion stroke = 3550 mm2; exhaust stroke = 500 mm2; suction stroke = 350 mm2; and compression stroke = 1400 mm2. Each mm2 represents 3 N-m. Assuming the resisting moment to be uniform, find the mass of the rim of a flywheel required to keep the mean speed 200 r.p.m. within ± 2%. The mean radius of t? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The turning moment diagram for a four stroke gas engine may be assumed for simplicity to be represented by four triangles, the areas of which from the line of zero pressure are as follows: Expansion stroke = 3550 mm2; exhaust stroke = 500 mm2; suction stroke = 350 mm2; and compression stroke = 1400 mm2. Each mm2 represents 3 N-m. Assuming the resisting moment to be uniform, find the mass of the rim of a flywheel required to keep the mean speed 200 r.p.m. within ± 2%. The mean radius of t? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The turning moment diagram for a four stroke gas engine may be assumed for simplicity to be represented by four triangles, the areas of which from the line of zero pressure are as follows: Expansion stroke = 3550 mm2; exhaust stroke = 500 mm2; suction stroke = 350 mm2; and compression stroke = 1400 mm2. Each mm2 represents 3 N-m. Assuming the resisting moment to be uniform, find the mass of the rim of a flywheel required to keep the mean speed 200 r.p.m. within ± 2%. The mean radius of t?.
The turning moment diagram for a four stroke gas engine may be assumed for simplicity to be represented by four triangles, the areas of which from the line of zero pressure are as follows: Expansion stroke = 3550 mm2; exhaust stroke = 500 mm2; suction stroke = 350 mm2; and compression stroke = 1400 mm2. Each mm2 represents 3 N-m. Assuming the resisting moment to be uniform, find the mass of the rim of a flywheel required to keep the mean speed 200 r.p.m. within ± 2%. The mean radius of t? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The turning moment diagram for a four stroke gas engine may be assumed for simplicity to be represented by four triangles, the areas of which from the line of zero pressure are as follows: Expansion stroke = 3550 mm2; exhaust stroke = 500 mm2; suction stroke = 350 mm2; and compression stroke = 1400 mm2. Each mm2 represents 3 N-m. Assuming the resisting moment to be uniform, find the mass of the rim of a flywheel required to keep the mean speed 200 r.p.m. within ± 2%. The mean radius of t? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The turning moment diagram for a four stroke gas engine may be assumed for simplicity to be represented by four triangles, the areas of which from the line of zero pressure are as follows: Expansion stroke = 3550 mm2; exhaust stroke = 500 mm2; suction stroke = 350 mm2; and compression stroke = 1400 mm2. Each mm2 represents 3 N-m. Assuming the resisting moment to be uniform, find the mass of the rim of a flywheel required to keep the mean speed 200 r.p.m. within ± 2%. The mean radius of t?.
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