7. A typical drive train for a 'geared' bicycle meant to be used on paved road (see a representative image) has 48 teeth on front sprocket (Crank side), the diameter of front sprocket being 10.5 inches. The rear wheel has a cassette with a cluster of 6 sprockets, with number of teeth on Sprocket #1 (lowest gear) to Sprocket #6 (highest gear) being 30, 26, 23, 20, 16 and 12, respectively. (Ignore wind resistance and friction between machine elements) (a) If the rider is pedaling at a constant 105 rpm with an effective force of 28 lb acting on periphery of front Sprocket (at 5.25 inch radius length, 3 the force location indicated by red arrow), and is engaged in Sprocket #5, what would be the torque acting on Sprocket #5, and the RPM at which the rear wheel is spinning? (b) For the condition as described in (a), If the diameter of wheels is 26 inches, what is the speed of the bicycle?

7. A typical drive train for a 'geared' bicycle meant to be used on paved road (see a representative image) has 48 teeth on front sprocket (Crank side), the diameter of front sprocket being 10.5 inches. The rear wheel has a cassette with a cluster of 6 sprockets, with number of teeth on Sprocket #1 (lowest gear) to Sprocket #6 (highest gear) being 30, 26, 23, 20, 16 and 12, respectively. (Ignore wind resistance and friction between machine elements) (a) If the rider is pedaling at a constant 105 rpm with an effective force of 28 lb acting on periphery of front Sprocket (at 5.25 inch radius length, 3 the force location indicated by red arrow), and is engaged in Sprocket #5, what would be the torque acting on Sprocket #5, and the RPM at which the rear wheel is spinning? (b) For the condition as described in (a), If the diameter of wheels is 26 inches, what is the speed of the bicycle?

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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