Find the tangential and normal components of acceleration, Mechanical Engineering

Find the tangential and normal components of acceleration:

A fly wheel along diameter 400 mm begins from rest with constant angular acceleration 2 rad/sec2. Find out the tangential & normal components of acceleration of a point on the rim, 3 seconds after the motion begins.

Solution

Radius of the wheel = 200 mm.

α = 2 rad / sec 2 (constant )

ω = α t = 2 × 3 = 6 rad / sec

a = at  t^ + an n^

= a αt t^  + a ωn^2

= 200 × 2 t^ + 200 × 36 n^

= 400 t^ + 7200 n^

∴ at  = 400 mm / sec 2

an  = 7200 mm / sec2

Posted Date: 1/29/2013 2:03:24 AM | Location : United States







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