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A riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.
The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)
Correct answer is '257.6'. Can you explain this answer?
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Given information:
- Constant torque of the motor = 3 kW
- Equivalent moving parts mass, including the flywheel = 150 kg
- Radius of the flywheel = 0.6 m
- Energy absorbed during one riveting operation = 100 kN m
- Initial speed of the flywheel = 300 rpm
Calculation:
1. Calculate the initial angular velocity (ωi) of the flywheel:
Given that the initial speed of the flywheel is 300 rpm, we can convert it to radians per second (rad/s):
Angular velocity (ω) = (300 rpm) * (2π rad/1 min) * (1 min/60 s) = 31.42 rad/s
2. Calculate the initial kinetic energy (KEi) of the flywheel:
The kinetic energy of a rotating object can be calculated using the formula:
KE = 0.5 * I * ω2
Where,
KE = Kinetic energy
I = Moment of inertia of the flywheel
The moment of inertia of the flywheel can be calculated using the formula:
I = m * r2
Where,
m = Mass of the flywheel
r = Radius of the flywheel
Plugging in the given values:
I = (150 kg) * (0.6 m)2 = 54 kg m2
KEi = 0.5 * (54 kg m2) * (31.42 rad/s)2 = 25924.99 J
3. Calculate the energy (E) absorbed by the riveting operation:
Given that the energy absorbed by the riveting operation is 100 kN m, we can convert it to joules (J):
E = (100 kN m) * (1000 N/1 kN) = 100000 J
4. Calculate the final kinetic energy (KEf) of the flywheel:
The final kinetic energy of the flywheel can be calculated by subtracting the energy absorbed by the riveting operation from the initial kinetic energy:
KEf = KEi - E = 25924.99 J - 100000 J = -74075.01 J
Note: The negative sign indicates that the energy absorbed by the riveting operation is greater than the initial kinetic energy of the flywheel, resulting in a decrease in kinetic energy.
5. Calculate the final angular velocity (ωf) of the flywheel:
The final angular velocity of the flywheel can be calculated using the formula:
KEf = 0.5 * I * ωf2
Rearranging the formula:
ωf = √(2 * KEf / I)
Plugging in the values:
ωf = √(2 * (-74075.01 J) / 54 kg m2) = -
- Constant torque of the motor = 3 kW
- Equivalent moving parts mass, including the flywheel = 150 kg
- Radius of the flywheel = 0.6 m
- Energy absorbed during one riveting operation = 100 kN m
- Initial speed of the flywheel = 300 rpm
Calculation:
1. Calculate the initial angular velocity (ωi) of the flywheel:
Given that the initial speed of the flywheel is 300 rpm, we can convert it to radians per second (rad/s):
Angular velocity (ω) = (300 rpm) * (2π rad/1 min) * (1 min/60 s) = 31.42 rad/s
2. Calculate the initial kinetic energy (KEi) of the flywheel:
The kinetic energy of a rotating object can be calculated using the formula:
KE = 0.5 * I * ω2
Where,
KE = Kinetic energy
I = Moment of inertia of the flywheel
The moment of inertia of the flywheel can be calculated using the formula:
I = m * r2
Where,
m = Mass of the flywheel
r = Radius of the flywheel
Plugging in the given values:
I = (150 kg) * (0.6 m)2 = 54 kg m2
KEi = 0.5 * (54 kg m2) * (31.42 rad/s)2 = 25924.99 J
3. Calculate the energy (E) absorbed by the riveting operation:
Given that the energy absorbed by the riveting operation is 100 kN m, we can convert it to joules (J):
E = (100 kN m) * (1000 N/1 kN) = 100000 J
4. Calculate the final kinetic energy (KEf) of the flywheel:
The final kinetic energy of the flywheel can be calculated by subtracting the energy absorbed by the riveting operation from the initial kinetic energy:
KEf = KEi - E = 25924.99 J - 100000 J = -74075.01 J
Note: The negative sign indicates that the energy absorbed by the riveting operation is greater than the initial kinetic energy of the flywheel, resulting in a decrease in kinetic energy.
5. Calculate the final angular velocity (ωf) of the flywheel:
The final angular velocity of the flywheel can be calculated using the formula:
KEf = 0.5 * I * ωf2
Rearranging the formula:
ωf = √(2 * KEf / I)
Plugging in the values:
ωf = √(2 * (-74075.01 J) / 54 kg m2) = -
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A riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)Correct answer is '257.6'. Can you explain this answer?
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A riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)Correct answer is '257.6'. Can you explain this answer? 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 riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)Correct answer is '257.6'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)Correct answer is '257.6'. Can you explain this answer?.
A riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)Correct answer is '257.6'. Can you explain this answer? 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 riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)Correct answer is '257.6'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)Correct answer is '257.6'. Can you explain this answer?.
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A riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)Correct answer is '257.6'. Can you explain this answer?, a detailed solution for A riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)Correct answer is '257.6'. Can you explain this answer? has been provided alongside types of A riveting machine is driven by a constant torque 3 kW motor. The moving parts including the flywheel are equivalent to 150 kg at 0.6 In radius. One riveting operation takes 1 second and absorbs 100 kN m of energy. Speed of flywheel is 300 r.p.m before riveting.The speed (in r.p.m.) immediately after riveting will be_____. (Answer up to one decimal place)Correct answer is '257.6'. Can you explain this answer? theory, EduRev gives you an
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