1. Determine the belt-ratio. 2. Determine the input power in watts. 3. Derive a relation that relates the input torque with the output torque, find the output torque

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Two - pulleys belt drive-system is commonly used in washing machines as shown in Figure.1. Your role in a
company that manufactures washing machine is to analyze the power transmission through the belt drive
system which operates under uniform angular acceleration in such a manner that ensures the required torque
and power output are optimum. The system under study includes two pulleys and one belt with the following
design specifications:
The driver pully rotates at angular velocity win = 1700 rpm.
The driver pully input torque is Tin = 20 N.m.
The driver pully has a diameter of 100 mm.
The driven pully has a diameter of 220 mm.
The system operates for long period under uniform angular speed,
Power transmission operates under no slipping condition.
220 mm
|Belt
100 mm
W= 1700 rpm
T- 20 Nm
P.
Pa
Driver pulley
Driven pulley
Figure.I(a) Belt drive system used in washing machine
Figure.1(b) Belt drive system used in washing machine
Your manger asked you to provide a report showing the following:
1. Determine the belt-ratio.
2. Determine the input power in watts.
3. Derive a relation that relates the input torque with the output torque, find the output torque
4. Derive a relation that relates the input angular velocity with the output angular velocity, find the output
rotating velocity in rad/sec.
5. Find the efficiency of the system and draw a block diagram to show the input-output power with the
estimated efficiency, how do you explain the value you have found?
6. Find the power output if the efficiency found to be 70% due to frictions and poor meshing.
7. In case there is slipping condition, would the speed be uniform, and briefly explain how this will affect
the energy transfer in the belt and the estimated efficiency value (no more than 20 words)
Transcribed Image Text:Two - pulleys belt drive-system is commonly used in washing machines as shown in Figure.1. Your role in a company that manufactures washing machine is to analyze the power transmission through the belt drive system which operates under uniform angular acceleration in such a manner that ensures the required torque and power output are optimum. The system under study includes two pulleys and one belt with the following design specifications: The driver pully rotates at angular velocity win = 1700 rpm. The driver pully input torque is Tin = 20 N.m. The driver pully has a diameter of 100 mm. The driven pully has a diameter of 220 mm. The system operates for long period under uniform angular speed, Power transmission operates under no slipping condition. 220 mm |Belt 100 mm W= 1700 rpm T- 20 Nm P. Pa Driver pulley Driven pulley Figure.I(a) Belt drive system used in washing machine Figure.1(b) Belt drive system used in washing machine Your manger asked you to provide a report showing the following: 1. Determine the belt-ratio. 2. Determine the input power in watts. 3. Derive a relation that relates the input torque with the output torque, find the output torque 4. Derive a relation that relates the input angular velocity with the output angular velocity, find the output rotating velocity in rad/sec. 5. Find the efficiency of the system and draw a block diagram to show the input-output power with the estimated efficiency, how do you explain the value you have found? 6. Find the power output if the efficiency found to be 70% due to frictions and poor meshing. 7. In case there is slipping condition, would the speed be uniform, and briefly explain how this will affect the energy transfer in the belt and the estimated efficiency value (no more than 20 words)
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