A flywheel with a radius of 0.200m starts from rest and accelerates with a const

Question

A flywheel with a radius of 0.200m starts from rest and accelerates with a constant angular acceleration of 0.600rad/s2 .

a) Compute the magnitude of the tangential acceleration of a point on its rim at the start.

b) Compute the magnitude of the radial acceleration of a point on its rim at the start.

c) No question

d) Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ?.

e) Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0.

f) No question

g) Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0 ?.

h) Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0

Explanation / Answer

a) a_tan = r*alfa = 0.2*0.6 = 0.12 m/s^2

b) a_rad = r*w^2 = 0

c)

d)a_tan = 0.12 m/s^2 (same)

e) w = sqrt(2*alfa*pi/3) = sqrt(2*0.6*pi/3) = 1.12 rad/s

a_rad = r*w^2

= 0.2*1.12^2

= 0.25 m/s^2

f)

g) same , a_tan = 0.12 m/s^2

f)
w = sqrt(2*alfa*2*pi/3) = sqrt(2*0.6*2*pi/3) = 1.58 rad/s

a_rad = r*w^2

= 0.2*1.58^2

= 0.5 m/s^2

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