Q1 Two spur gears in a simple train shown in Figure Q1 are having the same module, m = 2 and their respective number of teeth is NTm 30 for the driver gear, and NTG = 45 for the driven gear. The inertia of the gear attached to the motor is Im 0.1 kgm? and the inertia of the second gear is IG = 0.1 kgm2. The second gear is connected to a pulley with the radius of 30 mm. The pulley is hoisting up the 2kg load with acceleration of a = 2 ms-2. Given the gear transmission efficiency is 90%. a) Based on the module and number of teeth given, examine the pitch diameter of eachgear. b) Considering acceleration of load at 2 ms-2, evaluate the torque of the motor toovercome gears inertia.
Q1 Two spur gears in a simple train shown in Figure Q1 are having the same module, m = 2 and their respective number of teeth is NTm 30 for the driver gear, and NTG = 45 for the driven gear. The inertia of the gear attached to the motor is Im 0.1 kgm? and the inertia of the second gear is IG = 0.1 kgm2. The second gear is connected to a pulley with the radius of 30 mm. The pulley is hoisting up the 2kg load with acceleration of a = 2 ms-2. Given the gear transmission efficiency is 90%. a) Based on the module and number of teeth given, examine the pitch diameter of eachgear. b) Considering acceleration of load at 2 ms-2, evaluate the torque of the motor toovercome gears inertia.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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![Q1 Two spur gears in a simple train shown in Figure Q1 are having the same module, m = 2 and
their respective number of teeth is NTm = 30 for the driver gear, and NTG = 45 for the driven
gear. The inertia of the gear attached to the motor is Im
= 0.1 kgm? and the inertia of the
second gear is IG = 0.1 kgm?. The second gear is connected to a pulley with the radius of 30
mm. The pulley is hoisting up the 2kg load with acceleration of a = 2 ms-2. Given the gear
transmission efficiency is 90%.
a) Based on the module and number of teeth given, examine the pitch diameter of eachgear.
b) Considering acceleration of load at 2 ms-?, evaluate the torque of the motor toovercome
gears inertia.
c) Considering the 2 kg load, examine the torque required to accelerate the load throughgear system.
d) Suggest the minimum torque of the motor to accelerate the 2 kg load at 2 ms.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8cda599-d67f-4ca3-b891-07684a48d62a%2Fd8a17724-197e-461e-8dcb-8dc21a1b455a%2F2z6a04j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1 Two spur gears in a simple train shown in Figure Q1 are having the same module, m = 2 and
their respective number of teeth is NTm = 30 for the driver gear, and NTG = 45 for the driven
gear. The inertia of the gear attached to the motor is Im
= 0.1 kgm? and the inertia of the
second gear is IG = 0.1 kgm?. The second gear is connected to a pulley with the radius of 30
mm. The pulley is hoisting up the 2kg load with acceleration of a = 2 ms-2. Given the gear
transmission efficiency is 90%.
a) Based on the module and number of teeth given, examine the pitch diameter of eachgear.
b) Considering acceleration of load at 2 ms-?, evaluate the torque of the motor toovercome
gears inertia.
c) Considering the 2 kg load, examine the torque required to accelerate the load throughgear system.
d) Suggest the minimum torque of the motor to accelerate the 2 kg load at 2 ms.
![NTG = 45
r =30 mm
NTm = 30
Im
driver
a = 2 ms ?
2 kg
Figure Q1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8cda599-d67f-4ca3-b891-07684a48d62a%2Fd8a17724-197e-461e-8dcb-8dc21a1b455a%2Fd8c1qv3_processed.png&w=3840&q=75)
Transcribed Image Text:NTG = 45
r =30 mm
NTm = 30
Im
driver
a = 2 ms ?
2 kg
Figure Q1
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