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Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.?
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Add class comment It is required to select a V-belt drive to connect a...
Selection of V-belt drive for connecting a motor to a centrifugal pump
Given data:
- Power of the motor (P) = 15 kW
- Speed of the motor (N1) = 2880 rpm
- Speed of the pump (N2) = 2400 rpm
- Service hours per day = 18 hours
- Centre distance (C) = 400 mm
- Pitch diameter of the driving pulley (D1) = 125 mm
Step 1: Determine the speed ratio (i)
The speed ratio is the ratio of the speed of the motor to the speed of the pump. It is given by the formula:
i = N1 / N2
Substituting the given values:
i = 2880 rpm / 2400 rpm
i = 1.2
Step 2: Determine the power rating of the belt drive
The power rating of the belt drive can be calculated using the formula:
Pd = P * (1 + (i - 1) / η)
Where Pd is the power rating of the belt drive, P is the power of the motor, i is the speed ratio, and η is the efficiency of the belt drive.
Assuming an efficiency of 95% for the belt drive:
Pd = 15 kW * (1 + (1.2 - 1) / 0.95)
Pd = 15 kW * (1 + 0.2105)
Pd = 15 kW * 1.2105
Pd = 18.158 kW
Therefore, the power rating of the belt drive should be approximately 18.158 kW.
Step 3: Determine the belt type and size
Based on the power rating, speed ratio, and centre distance, we can refer to belt drive catalogs to select the appropriate belt type and size. The belt type should be capable of transmitting the required power and have suitable speed ratio and centre distance ratings.
Step 4: Calculate the belt length
The belt length can be calculated using the formula:
L = 2C + (π/2) * (D1 + D2) + ((D2 - D1)^2) / (4C)
Where L is the belt length, C is the centre distance, D1 is the pitch diameter of the driving pulley, and D2 is the pitch diameter of the driven pulley.
Substituting the given values:
L = 2 * 400 mm + (π/2) * (125 mm + D2) + ((D2 - 125 mm)^2) / (4 * 400 mm)
Step 5: Select the pulley sizes
Based on the calculated belt length and the desired centre distance, suitable pulley sizes can be selected from the available options in the belt drive catalog. The pulley sizes should ensure proper belt tensioning and alignment.
Step 6: Check the service factor
The service factor is a safety factor that takes into account the operating conditions and variations in power transmission. It is given by the formula:
SF = Pd / P
Where SF is the service factor, Pd is the power rating of the belt drive, and P is the power of the motor.
Given data:
- Power of the motor (P) = 15 kW
- Speed of the motor (N1) = 2880 rpm
- Speed of the pump (N2) = 2400 rpm
- Service hours per day = 18 hours
- Centre distance (C) = 400 mm
- Pitch diameter of the driving pulley (D1) = 125 mm
Step 1: Determine the speed ratio (i)
The speed ratio is the ratio of the speed of the motor to the speed of the pump. It is given by the formula:
i = N1 / N2
Substituting the given values:
i = 2880 rpm / 2400 rpm
i = 1.2
Step 2: Determine the power rating of the belt drive
The power rating of the belt drive can be calculated using the formula:
Pd = P * (1 + (i - 1) / η)
Where Pd is the power rating of the belt drive, P is the power of the motor, i is the speed ratio, and η is the efficiency of the belt drive.
Assuming an efficiency of 95% for the belt drive:
Pd = 15 kW * (1 + (1.2 - 1) / 0.95)
Pd = 15 kW * (1 + 0.2105)
Pd = 15 kW * 1.2105
Pd = 18.158 kW
Therefore, the power rating of the belt drive should be approximately 18.158 kW.
Step 3: Determine the belt type and size
Based on the power rating, speed ratio, and centre distance, we can refer to belt drive catalogs to select the appropriate belt type and size. The belt type should be capable of transmitting the required power and have suitable speed ratio and centre distance ratings.
Step 4: Calculate the belt length
The belt length can be calculated using the formula:
L = 2C + (π/2) * (D1 + D2) + ((D2 - D1)^2) / (4C)
Where L is the belt length, C is the centre distance, D1 is the pitch diameter of the driving pulley, and D2 is the pitch diameter of the driven pulley.
Substituting the given values:
L = 2 * 400 mm + (π/2) * (125 mm + D2) + ((D2 - 125 mm)^2) / (4 * 400 mm)
Step 5: Select the pulley sizes
Based on the calculated belt length and the desired centre distance, suitable pulley sizes can be selected from the available options in the belt drive catalog. The pulley sizes should ensure proper belt tensioning and alignment.
Step 6: Check the service factor
The service factor is a safety factor that takes into account the operating conditions and variations in power transmission. It is given by the formula:
SF = Pd / P
Where SF is the service factor, Pd is the power rating of the belt drive, and P is the power of the motor.
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Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.?
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Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.? 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 Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.?.
Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.? 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 Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.?.
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Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.?, a detailed solution for Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.? has been provided alongside types of Add class comment It is required to select a V-belt drive to connect a 15 kW, 2880 rpm normal torque A.C. motor to a centrifugal pump, running at approximately 2400 rpm, for a service of 18 hours per day. The centre distance should be approximately 400 mm. Assume that the pitch diameter of the driving pulley is 125 mm.? theory, EduRev gives you an
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