Question

A wheel Was spinning at 2.8 rad/s. It took 3.2 seconds to stop completely. What is the acceleration of the wheel?

Answer 1

Given

The angular velocity is

$\omega=2.8\text{ rad/s}$

The time taken,

$t=3.2s$

To find

The acceleration of the wheel

Explanation

The acceleration is

$\begin{gathered} \alpha=\frac{\omega}{t} \\ \Rightarrow\alpha=\frac{2.8}{3.2}=\frac{0.875rad}{s^2} \end{gathered}$

Conclusion

The acceleration is

$0.875\text{ rad/s}^2$