A carousel is initially at rest. At t=0, it is given a constant angular acceleration, alpha = 0.5 rad/s^2, which increases its angular velocity for 10 seconds. At t=10s, determine the angular velocity of the carousel

A 40.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.50 s, find the angular speed of the wheel. rad/s (b) At t = 2.50 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity    =  m/s tangential acceleration  =     m/s2 (c) At t = 2.50 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axis

The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 12 cm. Calculate the angular acceleration of the platform α in rad/s2.

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