A flywheel with a radius of 0.300m starts from rest and accelerates with a const

Question

A flywheel with a radius of 0.300m starts from rest and accelerates with a constant angular acceleration of 0.500 rad/s^2

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

Explanation / Answer

PLease ask if you have any doubt.I will help you.

INitial velocity = 0 = o and = 0.5 rad/s2 .

r = 0.3 m.

A) initial velocity = 0 implies tangential acceleration(at) = 0.

B)  initial velocity = 0 implies radial acceleration(ar) = 0.

To get the tangential and radial components ,

we need to find velocity at the given angles.

= o + t = t = 0.9t

and = 0.5t2  gives

= (2)0.5 rad/s

Now at = 60o = 60(0.0175) = 1.047 rad.

= 1.023 rad/s

a = 2r = 0.314 rad/s2

C) at = a sin 60o = 0.272 rad/s2

D) ar = a cos 60o = 0.157 rad/s2

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