Question

The angular displacement of a flywheel varies with time as $\theta =at+b{t}^2-c{t}^3$. Then the angular acceleration is given by:

• A. $a+2bt-3c{t}^2$
• B. $2b-6t$
• C. $a+2b-6t$
• D. $2b-6ct$

Answer 1

The correct option is D $2b-6ct$

$\theta =at+b{t}^2-c{t}^3$

Differentiating with respect to t

$\omega =a+2bt-3c{t}^2$

Differentiating with respect to t

$\alpha =2b-6ct$