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wer plant has a moment of i team turbine fan during star

wer plant has a moment of i team turbine fan during star

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Show your solutions clearly and completely. 1. A steam fan in a thermal power plant has a moment of inertia of 3 kg. m² about its axis of rotation. The angular frequency of the steam turbine fan during start-up is 3600 rad/s at a time 3s. Determine the following: a) Angular momentum of the steam turbine fan b) Power of the steam turbine fan. c) The torque acting on the steam turbine fan. d) Kinetic energy of the steam turbine fan. 2. An airplane propeller is rotating at 1900 rpm (rev/min). (a) Compute the propeller's angular velocity in rad/s. (b) How many seconds does it take for the propeller to turn through 35°? (Ans. (a) w=199 rad/s, (b) t=3.1 x 10³) 3. Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass M and radius R about an axis perpendicular to the hoop's plane at an edge. (Ans. I=2MR²) 4. A flywheel has angular acceleration α₂(t) = 8.60 rad - (2.30 rad) t, where counterclockwise rotation is positive. (a) If the flywheel is at rest at t = 0, what is its angular velocity at 5.00 s? (b) Through what angle (in radians) does the flywheel turn in the time interval from t = 0 to t = 5.00 s? (Ans.(a) 14.2 rad/s, (b) 59.6 rad) 5. Find the net torque about point O for the two forces applied. The rod and both forces are in the plane of the page. (Ans. 28.0 N-m, clockwise) F₁-8.00 N F₂=12.00 N 30.0° 3.00 m 2.00 m
Transcribed Image Text:Show your solutions clearly and completely. 1. A steam fan in a thermal power plant has a moment of inertia of 3 kg. m² about its axis of rotation. The angular frequency of the steam turbine fan during start-up is 3600 rad/s at a time 3s. Determine the following: a) Angular momentum of the steam turbine fan b) Power of the steam turbine fan. c) The torque acting on the steam turbine fan. d) Kinetic energy of the steam turbine fan. 2. An airplane propeller is rotating at 1900 rpm (rev/min). (a) Compute the propeller's angular velocity in rad/s. (b) How many seconds does it take for the propeller to turn through 35°? (Ans. (a) w=199 rad/s, (b) t=3.1 x 10³) 3. Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass M and radius R about an axis perpendicular to the hoop's plane at an edge. (Ans. I=2MR²) 4. A flywheel has angular acceleration α₂(t) = 8.60 rad - (2.30 rad) t, where counterclockwise rotation is positive. (a) If the flywheel is at rest at t = 0, what is its angular velocity at 5.00 s? (b) Through what angle (in radians) does the flywheel turn in the time interval from t = 0 to t = 5.00 s? (Ans.(a) 14.2 rad/s, (b) 59.6 rad) 5. Find the net torque about point O for the two forces applied. The rod and both forces are in the plane of the page. (Ans. 28.0 N-m, clockwise) F₁-8.00 N F₂=12.00 N 30.0° 3.00 m 2.00 m
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