Posted by dmkp on Wednesday, May 30, 2012 at 7:45am.
An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick and is constructed from steel (density=7850 kg m3) its moment of inertia is 0.156 kg m2 about its axis of rotation
a) calculate the mass of the flywheel
b) calculate the flywheel's radius of gyration
c) whilst exercising a man applies a constant moment of 10.0Nm to the flywheel. Starting from rest the flywheel reaches an angular velocity of 12.0 rad s1 after exactly 1 minute. Calculate the flywheel's angular acceleration, the number of revolutions the flywheel makes and the friction moment applied to the flywheel

kinematics  Elena, Wednesday, May 30, 2012 at 1:10pm
m = ρ•V = ρ•π•D²•d/4 =
=7850•3.14•0.09•0.025/4 = 3.12 kg.
R(gyr) =sqrt(I/A) = sqrt(4•I/ π•D²) = =sqrt(4•0.156/3.14•0.09) =1.5 m.
ω= ε•t,
ε = ω/t = 12/60 = 0.2 rad/s².
2•π•N = ε•t²/2,
N = ε•t²/4• π =0.2•3600/4•3.14 =
=57.3 rev.
M  M(fr) =I•ε.
M(fr)= M  I•ε =
=10 – 0.156•0.2 = 9.969 N•m.
Answer This Question
Related Questions
 kinetics  An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick ...
 kinetics  An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick ...
 kinetics  An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick ...
 kinetics  An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick ...
 engineering mechanics  An exercise bicycle's flywheel is 30cm in diameter and 2...
 engineering mechanics  An exercise bicycle's flywheel is 30cm in diameter and 2...
 Physics  Four masses (2kg 3kg 1kg and 2kg) are arranged on a square of side 1.2...
 physics  A flywheel with an axle 1.0cm in diameter is mounted in frictionless ...
 Physics  a circular disc rotates on a thin air film with a period of 0.3s. its ...
 physics  a circular disc rotates on a thin air film with a period of 0.3s. its ...
More Related Questions