Question

Angular displacement (θ) of a flywheel varies with time as θ = at + bt² + ct³ then angular acceleration is given by ____________.

Options

• a + 2bt - 3ct²

• 2b - 6t

• a + 2b - 6t

• 2b + 6ct

Answer 1

Angular displacement (θ) of a flywheel varies with time as θ = at + bt² + ct³ then angular acceleration is given by 2b + 6ct.

Explanation:

We have,

`theta = "at" + "bt"^2 + "ct"^3`

`therefore ("d"^2 theta)/"dt"^2 = 2"b" + 6"ct"`