a child pushes a merry-go-round that has a diameter of 4.00 m and goes from rest to an angular speed of 17.0 rpm in a time of 45.0 s. 1) calculate the average angular acceleration of the merry-go-round. (express your answer to three significant figures.)



Answer :

The total tangential speed = 3.56 m/s

, r =2 m ,

t =44sw

=17rpm = 17*2*3.14/60

= 1.7793 rad/swo =

01) from rotational kinematic equation

w =wo+t1.7793 =0 + *44 =0.0404 rad/s^2

(2) from rotationla kinematic equation

w^2 -wo^2 = 21.7793*1.7793

= (2*0.0404*)=39.18 rad

3) v =rw =2*1.7793

tangential speed = 3.56 m/s

What is average angular acceleration?

A spinning object's change in angular velocity per unit of time is expressed quantitatively as angular acceleration, also known as rotational acceleration. It is a vector quantity with either one of two predetermined directions or senses and a magnitude component.

The formula for average angular acceleration is: a = change in velocity divided by change in time. a=(w2−w1)/(t2−t1) a = ( w 2 − w 1 ) / ( t 2 − t 1 ) . w2 represents the final velocity measured in radians per second. w1 represents the initial velocity measured in radians per second.

Therefore, tangential speed = 3.56 m/s

To learn more about acceleration,

https://brainly.com/question/605631

#SPJ4

Other Questions