A flywheel with a radius of 0.210 m starts from rest and accelerates with a cons

Question

A flywheel with a radius of 0.210 m starts from rest and accelerates with a constant angular acceleration of 0.750 rad/s2

Part A Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim at the start. Enter your answers separated with commas.

atan,arad,atotal = ____________ m/s2

Part B Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 60.0 . Enter your answers separated with commas.

atan,arad,atotal = ____________ m/s2

Part C Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 120 . Enter your answers separated with commas.

atan,arad,atotal = ____________ m/s2

Explanation / Answer

Part A

tangential a = r = 0.750rad/s^2 x 0.210m = 0.1575 m/s^2 .........a(1)

o = 0 rad/s ........a(2)

atotal = 0.1575 m/s^2 ...............a(3)

B)

60º = /3 rads

^2 = o^2 + 2 = 0 + 2 * 0.750 rad/s^2 * /3 = 1.57 rad/s^2

radial a = ^2r = 1.57 rad/s^2 x 0.210m = 0.3297 m/s^2 ...........b(1)

Tangential a = 0.1575 m/s^2 even now ............b(2)

atotal = 0.1575 m/s + 0.3297 m/s^2 = 0.4872 m/s^2 ...........b(3)

c)

^2 = 0 + 2 * 0.750 rad/s^2 x 2/3 = 3.14 rad/s^2

radial a = 3.14rad/s^2 x 0.210m = 0.6594 m/s^2 ,...........c(1)

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