Answered: 1.A rotor has an inner radius of 10.0…

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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1.A rotor has an inner radius of 10.0 cm and an outer radius of 25.0 cm. It is fixed to a frictionless axle that goes through its center. The moment of inertia (I) of the rotor is 0.0235 kg m2. A set of 5 constant forces act on the rotor, as shown in the diagram below.

(a) Find the net torque acting on the rotor, in units of Nm. Be sure to give both the magnitude and direction.

(b) Find the angular acceleration of the rotor, in units of rad/s2. Give both the magnitude and direction.

(c) Assuming it starts from rest at t = 0, how long does it take for the rotor to reach an angular speed of 565 revolutions pre minute (rpm)? Give your answer in seconds.

(d) At t = 2.50 seconds, how many complete revolutions will the rotor have made?

35.0 N
25.0 N
37.5 N
y
27.5°
12.5 N
15.5 N

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