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

ID: 1291130 • Letter: A

Question

A flywheel with a radius of 0.500m starts from rest and accelerates with a constant angular acceleration of 0.600rad/s^2 .

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

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 ?

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 ?

c) at the start w = 0..a_rad = 0

a_net = a_tan = 0.3 m/s^2

--------------

d) a_tan = r*alfa = 0.5*0.6 = 0.3 m/s^2

-------------

e) theta = 60 degrees = pi/3 = 3.14/3 = 1.05 rad

w^2 = 2*alfa*theta = 2*0.6*1.05 = 1.26

a_rad = r*w^2 = 0.5*1.26 = 0.63 m/s^2

--------------

g) as alfa is constant a_tan is constant

a_tan = r*alfa = 0.5*0.6 = 0.3 m/s^2

------

h) theta = 120 degrees = 2*pi/3 = 2.1 rad

w^2 = 2*alfa*theta = 2*0.6*2.1 = 2.52

a_rad = r*w^2 = 0.5*2.52 = 1.26 m/s^2

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.