Question

An expression is given by $\alpha =\frac{\theta }{t^2}$ , find α in $rad/s^2$ if an angle$\left(\theta \right)$ of $600°$ is covered in $10$ second ?

• A. $\frac{\pi }{30}rad/s^2$
• B. $\pi rad/s^2$
• C. $\frac{\pi }{45}rad/s^2$
• D. $\frac{\pi }{60}rad/s^2$

Answer 1

The correct option is A $\frac{\pi }{30}rad/s^2$

Given $\alpha =\frac{\theta }{t^2}$
Angle covered =${600}^{\circ }$
Time duration (t) = 10 sec
Since, ${180}^{\circ }=\pi$ radian
So, ${600}^{\circ }={600}^0\frac{\pi }{180}=10\pi /3$ radian
$\alpha =\frac{\theta }{t^2}=\frac{10\pi }{300}=\frac{\pi }{30}rad/s^2$