First slide

Angular velocity, Angular acceleration

Question

The angular displacement of a particle is given by $θ = t^{3} + 2 t + 1$ where t is time in seconds. Its angular acceleration at t = 2s is

Easy

A

14rad s^-2
B

17rad s^-2
C

12rad s^-2
D

9rad s^-2

Solution

$ω = \frac{dθ}{dt}; α = \frac{dω}{dt} here θ = t^{3} + 2 t + 1 ω = 3 t^{2} + 2 α = 6 t$

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