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A single plate clutch is designed to transmit 10 kW power at angular velocity of 200 rad/s, the mass moment of inertia of input shaft and that of output shaft are 0.1 kg-m² and 0.4 kg-m² respectively. What will be the time required to bring the output shaft to the rated speed from rest?
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A single plate clutch is designed to transmit 10 kW power at angular v...
Given data:
- Power transmitted (P) = 10 kW
- Angular velocity (ω) = 200 rad/s
- Mass moment of inertia of input shaft (Jinput) = 0.1 kg-m²
- Mass moment of inertia of output shaft (Joutput) = 0.4 kg-m²
Calculating torque:
The power transmitted by the clutch can be calculated using the equation:
P = T * ω
Where T is the torque and ω is the angular velocity.
Rearranging the equation, we get:
T = P / ω
Plugging in the values, we have:
T = 10,000 / 200 = 50 Nm
Calculating angular acceleration:
The torque can be related to the angular acceleration (α) using the equation:
T = J * α
Where J is the moment of inertia and α is the angular acceleration.
Rearranging the equation, we get:
α = T / J
For the output shaft, the angular acceleration can be calculated as:
αoutput = T / Joutput = 50 / 0.4 = 125 rad/s²
Calculating time:
The angular velocity of the output shaft can be related to the angular acceleration and time (t) using the equation:
ω = α * t
Rearranging the equation, we get:
t = ω / α
For the output shaft, the time required to reach the rated speed from rest can be calculated as:
toutput = ω / αoutput = 200 / 125 = 1.6 s
Conclusion:
The time required to bring the output shaft to the rated speed from rest is 1.6 seconds.
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A single plate clutch is designed to transmit 10 kW power at angular velocity of 200 rad/s, the mass moment of inertia of input shaft and that of output shaft are 0.1 kg-m² and 0.4 kg-m² respectively. What will be the time required to bring the output shaft to the rated speed from rest?
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A single plate clutch is designed to transmit 10 kW power at angular velocity of 200 rad/s, the mass moment of inertia of input shaft and that of output shaft are 0.1 kg-m² and 0.4 kg-m² respectively. What will be the time required to bring the output shaft to the rated speed from rest? 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 plate clutch is designed to transmit 10 kW power at angular velocity of 200 rad/s, the mass moment of inertia of input shaft and that of output shaft are 0.1 kg-m² and 0.4 kg-m² respectively. What will be the time required to bring the output shaft to the rated speed from rest? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single plate clutch is designed to transmit 10 kW power at angular velocity of 200 rad/s, the mass moment of inertia of input shaft and that of output shaft are 0.1 kg-m² and 0.4 kg-m² respectively. What will be the time required to bring the output shaft to the rated speed from rest?.
A single plate clutch is designed to transmit 10 kW power at angular velocity of 200 rad/s, the mass moment of inertia of input shaft and that of output shaft are 0.1 kg-m² and 0.4 kg-m² respectively. What will be the time required to bring the output shaft to the rated speed from rest? 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 plate clutch is designed to transmit 10 kW power at angular velocity of 200 rad/s, the mass moment of inertia of input shaft and that of output shaft are 0.1 kg-m² and 0.4 kg-m² respectively. What will be the time required to bring the output shaft to the rated speed from rest? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single plate clutch is designed to transmit 10 kW power at angular velocity of 200 rad/s, the mass moment of inertia of input shaft and that of output shaft are 0.1 kg-m² and 0.4 kg-m² respectively. What will be the time required to bring the output shaft to the rated speed from rest?.
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