Question

A flywheel with a radius of 0.500m starts from rest and accelerates with a constant angular acceleration of 0.800rad/s2 .

a -Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 60.0 ?.

b-Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0

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

?.?.

Answer 1

after 60^o = ?/3 = 1.05 rad

angular velocity = sqrt(2*0.8*1.05) = 1.3 rad/sec

radial acc = (1.3*0.5)²/0.5 = 0.845 m/sec²

resultant acc = sqrt((0.8*0.5)²+ 0.845²)

= 0.934 m/sec²

tangential acc = 0.8*0.5 = 0.4m/sec²

after 120^o = 2?/3 = 2.1 rad

angular velocity = sqrt(2*2.1*0.8) = 1.83 rad/sec

radial acc = (1.83*0.5)²/0.5 = 1.67m/sec²

Answer 2