Find out angular displacement of a partical, Mechanical Engineering

Find out angular displacement of a partical:

The angular displacement of a rotating body starting from rest is defined by φ (t ) = 4 t 3  - 3 t 2 . Find out its angular displacement, angular velocity and angular acceleration at t = 2 sec.

Solution

At t = 2 sec

φ = 32 - 12 = 20 radians

ω= d φ/dt = 12 t - 6 t dt

At t = 2 sec

∴ ω = 48 - 12 = 36 rad / sec

At t = 2 sec

 α = d 2 φ /d t 2 = 24 t - 6

α = 48 - 6 = 42 rad / sec 2 .

Posted Date: 1/29/2013 2:01:46 AM | Location : United States







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