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

Step-by-step 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* 3=-1 rad/s`

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