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During a certain time interval, the angular position of a swinging door is described by e = 4.96 + 9.0t + 1.93t, where e is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the
door at the following times.
(a) t = 0
A =
rad
|rad/s
| rad/s2
a =
(b) t = 2.97 s
rad
rad/s
a =
rad/s2

Expert Solution

Concept

The angular speed is given by

Where θ = angular position, t = time

The angular acceleration is given by

Answer

The angular position is given as θ = 4.96 + 9.0t + 1.93t² rad

The angular velocity is given by

The angular acceleration is given by

(a)

At t = 0

Thus

(b)

At t = 2.97 s

Thus

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