Question

A vehicle starts from rest and moves at uniform acceleration such that its velocity increases by $3m{s}^{-1}$ per every second. If diameter of wheel of that vehicle is $60cm$, the angular acceleration of wheel is:

• A. $5rad{s}^{-2}$
• B. $10rad{s}^{-2}$
• C. $15rad{s}^{-2}$
• D. $20rad{s}^{-2}$

Answer 1

Answer: (B)

$10rad{s}^{-2}$

Angular acceleration $\alpha =\frac{a}{r}$
Given velocity increases at $3m{s}^{-1}$ for every second
$\Rightarrow a=3m{s}^{-2}$
$\Rightarrow \alpha =\frac{3}{30\times {10}^{-2}}=10rad{s}^{-2}$