Find the tangential and normal components of acceleration:
A fly wheel along diameter 400 mm begins from rest with constant angular acceleration 2 rad/sec^{2}. 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 = a_{t } t^ + a_{n} n^
= a α_{t }t^ + a ω_{n}_{^}^{2}
= 200 × 2 t^ + 200 × 36 n^
= 400 t^ + 7200 n^
∴ a_{t } = 400 mm / sec^{ 2}
a_{n} = 7200 mm / sec^{2}