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October 20, 2014

October 20, 2014

Posted by **dmkp** on Wednesday, May 30, 2012 at 7:45am.

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 s-1 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 1:10pmm = 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.

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