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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...
Problem Statement
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?
Solution
Given parameters:
- Power (P) = 10 kW
- Angular velocity (ω) = 200 rad/s
- Mass moment of inertia of input shaft (J₁) = 0.1 kg-m²
- Mass moment of inertia of output shaft (J₂) = 0.4 kg-m²
Calculation of Torque
The torque required to accelerate the output shaft from rest can be calculated as:
Torque (T) = Power (P) / Angular velocity (ω)
Substituting the given values:
T = 10,000 / 200 = 50 N-m
Calculation of Angular Acceleration
The angular acceleration of the output shaft can be calculated as:
Angular acceleration (α) = Torque (T) / Mass moment of inertia (J₂)
Substituting the given values:
α = 50 / 0.4 = 125 rad/s²
Calculation of Time
The time required to bring the output shaft to the rated speed from rest can be calculated using the following kinematic equation:
ω = ω0 + αt
where,
- ω = final angular velocity = 200 rad/s
- ω0 = initial angular velocity = 0 rad/s
- α = angular acceleration = 125 rad/s²
- t = time
Substituting the given values:
200 = 0 + 125t
t = 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 v...
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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?
Question Description
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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