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A rigid object, hinged at one end and initially at rest, is set into rotational motion....

A rigid object, hinged at one end and initially at rest, is set into rotational motion. Its angular acceleration is given by the equation α = −b + ct where b and c are constants. Here b = 2.55 rad/s2, and c = 4.90 rad/s3.

(a) Write an expression for the angular speed of the object in terms of the constants b, c, and time t.

ω = ____________

(b) Write an expression for the angular position of the object in terms of the constants b, c, and time t.

θ = _____________

(c) How many revolutions has the object made in the first 9.00 s?

_______ rev

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