Problem 3: A small gearing system in your brand-new 3D printer fails as you were printing, leading to an overload in the motor and a fire in your home. The fire spreads, burning half of Everglades National Park in the worst environmental disaster in US history. The printer company blames you! Stating that you must have been misusing the printer some- how. Use your engineering knowledge to "show those jerks you mean business!" You investigate and find a serial number on the gears and type it into Google, finding the company that manufactures the gears. Their website provides some info that this series of gear is made from AISI 4340 steel and the yield strength is 125 kpsi. Assuming each gear tooth acts as a small cantilever, prove to the 3D printer company that they are liable for the fire. Gear Information Gear radius (r): 1.00 in Tooth length (1): 0.15 in Tooth height (h): 0.15 in Tooth thickness (b): 0.1 in Angular velocity (w): 0.1 rad/s Motor Information Power (H): 0.009 hp 1 hp = 550 ft-lbf/s Pinion Information Gear radius (r): 0.75 in Tooth length (1): 0.15 in Tooth height (h): 0.15 in Tooth thickness (b): 0.1 in Angular velocity (w): 0.13 rad/s Hint power = torque * angular velocity torque = force * moment arm

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Transcribed Image Text:Problem 3: A small gearing system in your brand-new 3D printer fails as you were printing, leading to an overload in the motor and a fire in your home. The fire spreads, burning half of Everglades National Park in the worst environmental disaster in US history. The printer company blames you! Stating that you must have been misusing the printer some- how. Use your engineering knowledge to "show those jerks you mean business!" You investigate and find a serial number on the gears and type it into Google, finding the company that manufactures the gears. Their website provides some info that this series of gear is made from AISI 4340 steel and the yield strength is 125 kpsi. Assuming each gear tooth acts as a small cantilever, prove to the 3D printer company that they are liable for the fire. oct # Gear Information Gear radius (r): 1.00 in Tooth length (1): 0.15 in Tooth height (h): 0.15 in Tooth thickness (b): 0.1 in Angular velocity (w): 0.1 rad/s Motor Information Power (H): 0.009 hp 1 hp = 550 ft-lbf/s Pinion Information Gear radius (r): 0.75 in Tooth length (1): 0.15 in Tooth height (h): 0.15 in Tooth thickness (b): 0.1 in Angular velocity (w): 0.13 rad/s Hint power = torque * angular velocity torque = force * moment arm

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