Equations of Rotational Motion Video Lessons

Concept

# Problem: Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or off, the spinning parts tend to change the rate of their rotation with virtually constant angular acceleration. Many introductory problems in rotational kinematics involve motion of a particle with constant, nonzero angular acceleration. The kinematic equations for such motion can be written as:θ(t) = θ0 + ω0t + 1/2 αt2andω(t) = ω0 + αtIn answering the following questions, assume that the angular acceleration is constant and nonzero: True or False:A) The quantity represented by ω0 is a function of time (i.e., is not constant)B) The quantity represented by ω is a function of time (i.e., is not constant).

###### FREE Expert Solution

A)

ωis the initial angular velocity.

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###### Problem Details

Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or off, the spinning parts tend to change the rate of their rotation with virtually constant angular acceleration. Many introductory problems in rotational kinematics involve motion of a particle with constant, nonzero angular acceleration. The kinematic equations for such motion can be written as:

θ(t) = θ0 + ω0t + 1/2 αt2

and

ω(t) = ω0 + αt

In answering the following questions, assume that the angular acceleration is constant and nonzero:

True or False:

A) The quantity represented by ω0 is a function of time (i.e., is not constant)

B) The quantity represented by ω is a function of time (i.e., is not constant).