A flywheel with a radius of 0.500 m starts from rest and accelerates with a cons

Question

A flywheel with a radius of 0.500 m starts from rest and accelerates with a constant angular acceleration of 0.200 rad/s^2 Compute the magnitude of the radial acceleration of a point on its rim at the start. This question will be shown after you complete previous question(s). Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 degree. Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 degree.

Explanation / Answer

given

r = 0.5 m

wi = 0

alfa = 0.2 rad/s^2

B) a_rad = r*wi^2

= 0.5*0^2

= 0 <<<<<<<<---------------Answer
C)

D) a_tan = r*alfa

= 0.5*0.2

= 0.1 m/s^2 <<<<<<<<---------------Answer

E) angular displacement, theta = 60 degrees

= 60*2*pi/360

= 1.047 rad

let t is the time taken

use, theta = wi*t + (1/2)*alfa*t^2

theta = 0 + (1/2)*alfa*t^2

t = sqrt(2*theta/alfa)

= sqrt(2*1.047/0.2)

= 4.24 s

w = wi + alfa*t

= 0 + 0.2*4.24

= 0.848 rad/s

a_rad = r*w^2

= 0.5*0.848^2

= 0.360 m/s^2 <<<<<<<<---------------Answer

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