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Calculate angular velocity, angular acceleration
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This calculation is an example problem in structural engineering. This content is sponsored by PPI. For similar problems, see the list of review books by PPI
The angular velocity of the circle is defined by the equation ω=3t2+2 rad/sec where t in sec. Determine the magnitudes of the velocity and acceleration of point B on the circle of 1m diameter when t=10 sec.
Solution
ω = 3t2+2 rad/sec
a = dω / dt = 6t
t = 10 sec
a = 60 rad/sec2
VA = ω*R=(3*10^2+2)*0.5=151m/sec
a = 60 rad/sec2
at = a*R = 60*0.5 = 30m/sec2
aw = ω2*R = 302^2*0.5 = 45.6m/sec2
aA = SQRT(at2+ aw2)
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