Question

A flywheel with a radius of 0.230 m starts from rest and accelerates with a constant angular acceleration of 0.670 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. ΤΙ ΑΣφ ? Atan, Arad, Atotal = m/s Submit Request Answer 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 60.00 Enter your answers separated with commas. ΑΣΦ ? Atan, Arad, a total = m/s2 Submit Request Answer 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. | ΑΣφ ? atan, Arad, a total = m/s?

Answer 1

The tangential acceleration remains constant as radial acceleration is constant. We find the angular velocity using rotational kinematics and use that to find the radial acceleration at the given instants as shown below.
A) atan LR (0.67 rad/52) (0.23m) = 0.1541 m/s2 at the Start a rad 12 Voo So, Arad ED a total Sarad tahan +0.15412 1 0.1541 m/s2

atan 2R 0.67 rad/52) (0.23m) = 2 - 0.1541 m/s2 AO = 60° ī rad wg²= w?? + 22AO = 0 + 2 (0:69 madlsrad) WF = 1.1846 radls 11 Arad WARS (1.1846 rad/s)? (0.23 m) 0.32275 m/s2 a total Sarad tarian 10.32275) + (0.1542) - - 0.358 m/s2

c) Atan = 2R 0.67 rad/5²) (0.23m) - 0.1541 m/s AO = wq² = w?? + 2200 60° = 2a rad = 0+ 2(0.67ralsa) perad) 3 Wf = 1.67526 radls We R = 2.6752602B)?(0-23 m). Arad . = 10.6455 m/s2 a total arad tartan 10.64 .6455) +0.1541) 10.6636