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A single cylinder vertical engine show in figure has bore of 30.5cm and a 80 cm long connecting rod with a Stoke of 40 cm. The mass of the reciprocating part is 135 kg. When the piston is at quater stroke and is moving downward, the net pressure on it is 650 kN/mm^2. If the speed of the engine is 250 rpm , the turning moment on the crankshaft at the instant corresponding to the instant corresponding to the position shown in figure will be ?
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A single cylinder vertical engine show in figure has bore of 30.5cm an...
Calculation of Turning Moment on Crankshaft


Given Parameters


  • Bore of engine (d) = 30.5 cm

  • Length of connecting rod (l) = 80 cm

  • Stroke of engine (L) = 40 cm

  • Mass of reciprocating parts (m) = 135 kg

  • Net pressure on piston (P) = 650 kN/mm^2

  • Engine speed (N) = 250 rpm



Calculation of Piston Area

The area of the piston can be calculated using the formula:

A = (pi/4) * d^2

A = (3.14/4) * (30.5)^2

A = 730.97 cm^2

Calculation of Angular Velocity

The angular velocity can be calculated using the formula:

w = 2 * pi * N / 60

w = 2 * 3.14 * 250 / 60

w = 26.18 rad/s

Calculation of Crank Radius

The crank radius can be calculated using the formula:

r = L / 2

r = 40 / 2

r = 20 cm

Calculation of Angle of Crank

The angle of the crank can be calculated as follows:

theta = sin^-1 (l * sin(phi) / r)

where phi is the angle made by the connecting rod with the horizontal.

At quarter stroke position, phi can be calculated using the formula:

phi = cos^-1 ((L/4 - r) / l)

phi = cos^-1 ((40/4 - 20) / 80)

phi = 36.87 degrees

Substituting values in the first equation, we get:

theta = sin^-1 (80 * sin(36.87) / 20)

theta = 100.76 degrees

Calculation of Velocity of Piston

The velocity of the piston can be calculated using the formula:

v = w * r * cos(theta)

v = 26.18 * 20 * cos(100.76)

v = -10.03 cm/s (negative sign indicates downward motion)

Calculation of Acceleration of Piston

The acceleration of the piston can be calculated using the formula:

a = w^2 * r * sin(theta)

a = (26.18)^2 * 20 * sin(100.76)

a = -424.83 cm/s^2 (negative sign indicates downward acceleration)

Calculation of Force on Piston

The force on the piston can be calculated using the formula:

F = m * a

F = 135 * (-424.83)

F = -57,327.45 N (negative sign indicates downward force)

Calc
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A single cylinder vertical engine show in figure has bore of 30.5cm and a 80 cm long connecting rod with a Stoke of 40 cm. The mass of the reciprocating part is 135 kg. When the piston is at quater stroke and is moving downward, the net pressure on it is 650 kN/mm^2. If the speed of the engine is 250 rpm , the turning moment on the crankshaft at the instant corresponding to the instant corresponding to the position shown in figure will be ?
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A single cylinder vertical engine show in figure has bore of 30.5cm and a 80 cm long connecting rod with a Stoke of 40 cm. The mass of the reciprocating part is 135 kg. When the piston is at quater stroke and is moving downward, the net pressure on it is 650 kN/mm^2. If the speed of the engine is 250 rpm , the turning moment on the crankshaft at the instant corresponding to the instant corresponding to the position shown in figure will be ? 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 vertical engine show in figure has bore of 30.5cm and a 80 cm long connecting rod with a Stoke of 40 cm. The mass of the reciprocating part is 135 kg. When the piston is at quater stroke and is moving downward, the net pressure on it is 650 kN/mm^2. If the speed of the engine is 250 rpm , the turning moment on the crankshaft at the instant corresponding to the instant corresponding to the position shown in figure will be ? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single cylinder vertical engine show in figure has bore of 30.5cm and a 80 cm long connecting rod with a Stoke of 40 cm. The mass of the reciprocating part is 135 kg. When the piston is at quater stroke and is moving downward, the net pressure on it is 650 kN/mm^2. If the speed of the engine is 250 rpm , the turning moment on the crankshaft at the instant corresponding to the instant corresponding to the position shown in figure will be ?.
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