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A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .?
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A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm ...
Solution:
Given data:
Bore diameter (d) = 30.5 cm
Stroke length (L) = 40 cm
Connecting rod length (R) = 80 cm
Mass of reciprocating parts (m) = 135 kg
Net pressure on the piston (p) = 65 N/m^2
Speed of the engine (N) = 250 rpm
Radius of crankshaft (r) = 20 cm
Angle between connecting rod and crank (x) = 90 degrees
Calculation:
1. Calculation of engine displacement volume (V):
V = π/4 * d^2 * L
V = 3.14/4 * (30.5)^2 * 40
V = 116476.25 cm^3
2. Calculation of force on the piston (F):
F = p * V
F = 65 * 116476.25
F = 7560581.25 N
3. Calculation of acceleration of the piston (a):
a = F/m
a = 7560581.25/135
a = 56004.82 cm/s^2
4. Calculation of crank radius (Rc):
Rc = R * cos(x)
Rc = 80 * cos(90)
Rc = 0 cm
5. Calculation of turning moment (T):
T = F * Rc
T = 7560581.25 * 0
T = 0 Nm
6. Calculation of tangential force (Ft):
Ft = F * sin(x)
Ft = 7560581.25 * sin(90)
Ft = 7560581.25 N
7. Calculation of crank angle (θ):
θ = 2 * π * N/60
θ = 2 * 3.14 * 250/60
θ = 26.18 radians
8. Calculation of torque (Tt):
Tt = Ft * r * sin(θ)
Tt = 7560581.25 * 20 * sin(26.18)
Tt = 5066110.64 Nm
Therefore, the turning moment of the crankshaft is 5066110.64 Nm.
Explanation:
The given problem is solved using the following steps:
1. Calculation of engine displacement volume (V): The engine displacement volume is calculated using the formula V = π/4 * d^2 * L, where d is the bore diameter and L is the stroke length.
2. Calculation of force on the piston (F): The force on the piston is calculated by multiplying the net pressure on the piston with the engine displacement volume.
3. Calculation of acceleration of the piston (a): The acceleration of the piston is calculated by dividing the force on the piston with the mass of the reciprocating parts.
4. Calculation of crank radius (Rc): The crank radius is calculated by multiplying the connecting rod length with the cosine of the angle between the connecting rod and the crank.
5. Calculation of turning moment (T): The turning moment is calculated by multiplying the force on the piston with the crank radius.
6. Calculation of tangential force (Ft): The tangential force is calculated by multiplying the force on the piston with the sine of the angle between the connecting rod and the crank.
7. Calculation of crank angle (θ): The crank angle is
Given data:
Bore diameter (d) = 30.5 cm
Stroke length (L) = 40 cm
Connecting rod length (R) = 80 cm
Mass of reciprocating parts (m) = 135 kg
Net pressure on the piston (p) = 65 N/m^2
Speed of the engine (N) = 250 rpm
Radius of crankshaft (r) = 20 cm
Angle between connecting rod and crank (x) = 90 degrees
Calculation:
1. Calculation of engine displacement volume (V):
V = π/4 * d^2 * L
V = 3.14/4 * (30.5)^2 * 40
V = 116476.25 cm^3
2. Calculation of force on the piston (F):
F = p * V
F = 65 * 116476.25
F = 7560581.25 N
3. Calculation of acceleration of the piston (a):
a = F/m
a = 7560581.25/135
a = 56004.82 cm/s^2
4. Calculation of crank radius (Rc):
Rc = R * cos(x)
Rc = 80 * cos(90)
Rc = 0 cm
5. Calculation of turning moment (T):
T = F * Rc
T = 7560581.25 * 0
T = 0 Nm
6. Calculation of tangential force (Ft):
Ft = F * sin(x)
Ft = 7560581.25 * sin(90)
Ft = 7560581.25 N
7. Calculation of crank angle (θ):
θ = 2 * π * N/60
θ = 2 * 3.14 * 250/60
θ = 26.18 radians
8. Calculation of torque (Tt):
Tt = Ft * r * sin(θ)
Tt = 7560581.25 * 20 * sin(26.18)
Tt = 5066110.64 Nm
Therefore, the turning moment of the crankshaft is 5066110.64 Nm.
Explanation:
The given problem is solved using the following steps:
1. Calculation of engine displacement volume (V): The engine displacement volume is calculated using the formula V = π/4 * d^2 * L, where d is the bore diameter and L is the stroke length.
2. Calculation of force on the piston (F): The force on the piston is calculated by multiplying the net pressure on the piston with the engine displacement volume.
3. Calculation of acceleration of the piston (a): The acceleration of the piston is calculated by dividing the force on the piston with the mass of the reciprocating parts.
4. Calculation of crank radius (Rc): The crank radius is calculated by multiplying the connecting rod length with the cosine of the angle between the connecting rod and the crank.
5. Calculation of turning moment (T): The turning moment is calculated by multiplying the force on the piston with the crank radius.
6. Calculation of tangential force (Ft): The tangential force is calculated by multiplying the force on the piston with the sine of the angle between the connecting rod and the crank.
7. Calculation of crank angle (θ): The crank angle is
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A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .?
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A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .?.
A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .?.
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A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .?, a detailed solution for A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .? has been provided alongside types of A single cylinder verticle engine has a bore of 30.5 cm, stroke 40 cm and a connecting rod 80 cm long . The mass of reciprocating parts is 135 kg. When the piston is at quater stroke and is moving downwards , the net pressure it is 65 N/m^2. If the speed of the engine is 250 rpm, Find the turning moment of the crankshaft. r = 20 , x = 90 .? theory, EduRev gives you an
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