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Calculate angular velocity, angular acceleration
This calculation is an example problem in structural engineering. This content is sponsored by PPI. For exam preparation courses on FE and PE, see the list offered 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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