Question

A wheel is rotating counterclockwise, which we will define as the positive direction, at an angular velocity of 2 rad/s. If the wheel then experiences a clockwise angular acceleration of 1 rad/s2, what is the wheel’s angular velocity 3 seconds later

Answer 1

Answer:1 rad/s clockwise

Explanation:

Given

angular velocity$(\omega _0)=+2 rad/s$ (ccw)

angular acceleration $\alpha =-1 rad/s^2$

wheel velocity after $t=3 s$

we know

$\omega =\omega _0+\alpha \cdot t$

where $\omega =final\ angular\ velocity$

$\omega _0=initial\ angular\ velocity$

$\alpha =angular\ acceleration$

$t=time$

$\omega =2-1\times 3=-1 rad/s$

i.e.$\omega =1 rad/s$ clockwise