Answered: A. A motorcycle and rider have a…

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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A motorcycle and rider have a combined mass of 350kg. The wheels each have a mass of 20kg, diameter of 500mm and radius of gyration of 200mm. The rider accelerates uniformly from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. The average resistance to motion, including drag, is 105 N.

1. Determine the total work done as the motorcycle ascends the incline.

2. Calculate the amount of power developed during the climb.

At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate:

1. The angular velocity of each of the wheels.

2. The moment of inertia of each wheel.

3. The magnitude and effect of the gyroscopic torque produced on the bike.

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