Question

A wheel starts from rest and has angular acceleration of 4.0 rads?, Its angular velocity after 10 revolution is: (a) 16 rads (b) 22 rads1 (c) 32 rads (d) 250 rads1

and how​

Answer 1

Answer:

A] 16

Explanation:

By The forms of equations of rotational (circular)motion are the same as those of rectilinear motion with

s replaced by ( theta), the angular displacement.

u replaced by w0, the initial angular velocity.

a replaced by ( alpha), the angular acceleration.

Therefore.

(Theta)(rad.)= w0(rad/s)t(s) +(1/2)(alpha)(rad./s^2)t^2(s^2)…………………(1)

Data: (alpha)=2 rad./s^2,

w0=0 rad/s, since body starts the motion from rest.

t=10 s.

Substituting these values in equation (1), we have,

(Theta)(rad)=(1/2)(2)(rad/s^2)(10)^2(s^2). Then,

(Theta)(rad)=100 rad.

Now 2pi radian angular displacement gives one revolution and hence 100 rad. gives

(100/2 pi) revolutions=15.9 revolutions.