A flywheel with a radius of 0.700 m starts from rest and accelerates with a cons

ID: 1795041 • Letter: A

Question

A flywheel with a radius of 0.700 m starts from rest and accelerates with a constant angular acceleration of 0.300 rad/s2 .

Answer the following:

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. 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

a) atangential = alpha * r = 0.300 * 0.700 = 0.21 m/s2

b) radial acceleration = 0 [As it starts from rest ]

c) resultant acceleration = sqrt [0.212 + 02] = 0.21 m/s2

d) atangential = 0.21 m/s2

e) 60 deg = 1.047 rad

w = sqrt (2 * alpha * theta) = sqrt (2 * 0.300 * 1.047) = 0.792 rad/s

aradial = w2 r = 0.7922 * 0.700 = 0.439 m/s2

g) magnitude of the tangential acceleration = 0.21 m/s2

h) 120 deg = 2.09 rad

w = sqrt (2 * alpha * theta) = sqrt (2 * 0.300 * 2.09) = 1.12 rad/s

aradial = w2 r = 1.122 * 0.700 = 0.878 m/s2

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