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A 550 kg/h wood chipping machine is driven by a 50 Hz, 4-pole, single-phase, 220 V induction motor. After a regularly scheduled maintenance procedure, it was found that the production capacity of the machine was notably lower than the rated value. The maintenance technician is of the belief that the power transmission components of the machine have been compromised. To address this issue, the technician contacts the OEM. Two OEM engineers are subsequently tasked with reviewing the original machine design to first detemine its expected behaviour. In their review, the engineers identify that the gear of the motor shaft is designed to transfer a maximum torque of 85 Nm. The motor shaft is also rated for an operational speed of 1500 revolutions per minute. Shaft to load Motor Figure 1: Schematic of gear pair In the original machine design, the motor transmits motion and power to the load shaft via a pair of standard spur gears. The pinion gear has a module of 8 mm, and the driver and driven gears are known to have 23 and 57 teeth respectively. If the gear pair has an efficiency of 0.98, determine: • The gear ratio of the gear pair. • The number of pairs of teeth in contact during rotation. [2] [14] The maximum power transferred to the load shaft. [3]

A 550 kg/h wood chipping machine is driven by a 50 Hz, 4-pole, single-phase, 220 V induction motor. After a regularly scheduled maintenance procedure, it was found that the production capacity of the machine was notably lower than the rated value. The maintenance technician is of the belief that the power transmission components of the machine have been compromised. To address this issue, the technician contacts the OEM. Two OEM engineers are subsequently tasked with reviewing the original machine design to first detemine its expected behaviour. In their review, the engineers identify that the gear of the motor shaft is designed to transfer a maximum torque of 85 Nm. The motor shaft is also rated for an operational speed of 1500 revolutions per minute. Shaft to load Motor Figure 1: Schematic of gear pair In the original machine design, the motor transmits motion and power to the load shaft via a pair of standard spur gears. The pinion gear has a module of 8 mm, and the driver and driven gears are known to have 23 and 57 teeth respectively. If the gear pair has an efficiency of 0.98, determine: • The gear ratio of the gear pair. • The number of pairs of teeth in contact during rotation. [2] [14] The maximum power transferred to the load shaft. [3]

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A 550 kg/h wood chipping machine is driven by a 50 Hz, 4-pole, single-phase, 220 V induction motor. After a regularly scheduled maintenance procedure, it was found that the production capacity of the machine was notably lower than the rated value. The maintenance technician is of the belief that the power transmission components of the machine have been compromised. To address this issue, the technician contacts the OEM. Two OEM engineers are subsequently tasked with reviewing the original machine design to first detemine its expected behaviour. In their review, the engineers identify that the gear of the motor shaft is designed to transfer a maximum torque of 85 Nm. The motor shaft is also rated for an operational speed of 1500 revolutions per minute. Shaft to load Motor Figure 1: Schematic of gear pair In the original machine design, the motor transmits motion and power to the load shaft via a pair of standard spur gears. The pinion gear has a module of 8 mm, and the driver and driven gears are known to have 23 and 57 teeth respectively. If the gear pair has an efficiency of 0.98, determine: • The gear ratio of the gear pair. • The number of pairs of teeth in contact during rotation. • The maximum power transferred to the load shaft. [2] [14] [3]
Transcribed Image Text:A 550 kg/h wood chipping machine is driven by a 50 Hz, 4-pole, single-phase, 220 V induction motor. After a regularly scheduled maintenance procedure, it was found that the production capacity of the machine was notably lower than the rated value. The maintenance technician is of the belief that the power transmission components of the machine have been compromised. To address this issue, the technician contacts the OEM. Two OEM engineers are subsequently tasked with reviewing the original machine design to first detemine its expected behaviour. In their review, the engineers identify that the gear of the motor shaft is designed to transfer a maximum torque of 85 Nm. The motor shaft is also rated for an operational speed of 1500 revolutions per minute. Shaft to load Motor Figure 1: Schematic of gear pair In the original machine design, the motor transmits motion and power to the load shaft via a pair of standard spur gears. The pinion gear has a module of 8 mm, and the driver and driven gears are known to have 23 and 57 teeth respectively. If the gear pair has an efficiency of 0.98, determine: • The gear ratio of the gear pair. • The number of pairs of teeth in contact during rotation. • The maximum power transferred to the load shaft. [2] [14] [3]
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