A wheel rotates with a constant angular acceleration of 2.0 $\frac{r a d}{s^{2}}$ . If the wheel starts from rest, how many revolutions will it make in the first 10 seconds?

A body starts moving with an initial velocity 50 m/s and acceleration 20 $m / s^{2}$ . How much distance it will cover in 4s ? Also, calculate its average speed during this time interval.

Q. A wheel has angular acceleration of

3 r a d / s^{2}

and an initial angular speed of

2 r a d / s e c .

In a time of

2 s e c

it has rotated through an angle of

(

in radians

) ?

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A wheel has a constant angular acceleration of 3 rad/s 2. During a 4 s interval, it turns through an angle of 60 rad. If the wheel started from rest, how long has it been in motion before the start of this 4 s interval?

The correct option is A 3 sAngular acceleration α=3rad/s2 From rotational kinematics: θ=ω1t+12αt2 [during the 4s internal] 60=4ω1+12×3×16=4w1+244ω1=36ω1=9rad/s The wheel starts from res, therefore ω0=0 ω1=ω0+αt′9=0+3t′t′=93=3s

A wheel has a constant angular acceleration of $3 r a d / s^{2}$ . During a $4 s$ interval, it turns through an angle of $60$ rad. If the wheel started from rest, how long has it been in motion before the start of this $4 s$ interval?