A flywheel with a radius of 0.200m starts from rest and accelerates with a constant angular acceleration of 0.900rad/s2. Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0.

The magnitude of the radial acceleration is 0.754 rad/s²

Explanation:

Given;

radius of the flywheel, r = 0.2 m

initial angular velocity of the flywheel,

angular acceleration of the flywheel, a = 0.900 rad/s².

angular distance, θ = 120⁰

the angular distance in radian =

Apply the following kinematic equation to determine the final angular velocity;

The magnitude of the radial acceleration is calculated as;

Therefore, the magnitude of the radial acceleration is 0.754 rad/s²

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be