Refreshing help needed with calculation of torque of gear wheel

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SUMMARY

The discussion focuses on calculating the torque of a cylindrical gear wheel with a radius of 1.5 cm and a length of 2.5 cm, which is subjected to a sudden stop by a locking bolt. The user, Ryan, seeks assistance in determining the moment of inertia for the gear, as it is not a standard shape. The torque formula T = I*a is highlighted, emphasizing the need to calculate angular velocity from the given RPM and to approach the moment of inertia by decomposing the gear into ideal shapes such as rings and discs.

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Fjolvar
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Hello,

I'm working on calculating a torque value for an engineering project at a new internship I started. Basically there is a spinning gear wheel similar to the picture I posted below (but thicker/cyclindrical), and I need to calculate the force or torque applied on a locking bolt that will suddenly engage at about 1/2*r of the gear bringing it to a complete stop.

http://thehobbyshop.co.za/images/LOWER_GEAR_WHEEL.jpg

The radius of the wheel (which is cylindrical in shape) is approximately 1.5cm with a length of about 2.5cm. I'm given the RPM which is a constant speed, so from that I can calculate the angular velocity. After the bolt engages, the velocity will change to zero creating a deceleration that I can plug into the torque formula T= I*a.

Would I have to then calculate the moment of intertia in order to solve the equation, and if so, how would I approach this? I've only solved inertia problems with ideal shapes.. not oddly shaped gears. Any help would be greatly appreciated! Thanks in advance..

-Ryan
 
Last edited by a moderator:
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So basically I just need to calculate the torque of a spinning gear wheel. Any ideas from anyone?
 
To calculate moment of inertia, can you not see the gear wheel as a sum of ideal shapes? You could disregard the teeth and see the outer rim as a ring, the inner part as a disc, and the connections between them as rods or planes.
 

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