Consider the case of a rotating wheel at rest and starting a clockwise rotation, meaning the negative direction of the angular velocity, and increasing (negatively) its value up to -12 rad/sec for 2 seconds. It then maintains a constant velocity for 2 seconds, and then uniformly reduces the magnitude of the velocity for 2 seconds until the wheel is momentarily stopped and restarts its rotation counter-clockwise with positive angular velocity, accelerating up to 20 rad/sec in 2 seconds and remaining at a constant rotation for 2 more seconds. Finally, the wheel stops gradually in 2 seconds. Next, you can see the graph of angular velocity versus time of this rotation:Find the angular acceleration in the range from 0 to 2 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with regard to the time. Write the results below:Acceleration: Equation:ω=f(t) Get the slope of the straight line in the range from 0 to 2 seconds and use analytical geometry to build the equation of that line, in the type of equation slope-intercept form. Write the results below:Slope: Origin intercept: Equation:ω=f(t) Determine how is the acceleration in the range from 2 to 4 seconds where the velocity is constant. Also determine the slope of the straight line and the slope-intercept equation, writing the results below: Acceleration: Slope: Origin intercept: Equation:ω=f(t) Find the angular acceleration in the range from 4 to 6 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with regard to the time. Write the results below:Acceleration: Equation:ω=f(t) Get the slope of the straight line in the range from 4 to 6 seconds and use analytical geometry to build the equation of that line, in the slope-intercept equation form. Write the results below:Slope: Origin intercept: Equation:ω=f(t) Find the angular acceleration in the range from 6 to 8 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with regard to the time. Write the results below:Acceleration: Equation:ω=f(t) Get the slope of the straight line in the range from 6 to 8 seconds and use analytical geometry to build the equation of that line, in the type of equation slope-intercept form. Write the results below:Slope: Origin intercept: Equation:ω=f(t) Determine how is the acceleration in the range from 8 to 10 seconds where the velocity is constant. Also, determine the slope of the straight line and the slope-intercept equation; write the results below:Acceleration: Slope: Origin intercept: Equation:ω=f(t) Find the angular acceleration in the range from 10 to 12 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with respect to time. Write the results below:Acceleration: Equation:ω=f(t) Get the slope of the straight line in the range from 10 to 12 seconds and use analytical geometry to build the equation of that line, in the slope-intercept form. Write the results below:Slope: Origin intercept: Equation:ω=f(t) o(rad/s)2024t(s)6.81012-12

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Consider the case of a rotating wheel at rest and starting a clockwise rotation, meaning the negative direction of the angular velocity, and increasing (negatively) its value up to -12 rad/sec for 2 seconds. It then maintains a constant velocity for 2 seconds, and then uniformly reduces the magnitude of the velocity for 2 seconds until the wheel is momentarily stopped and restarts its rotation counter-clockwise with positive angular velocity, accelerating up to 20 rad/sec in 2 seconds and remaining at a constant rotation for 2 more seconds. Finally, the wheel stops gradually in 2 seconds. Next, you can see the graph of angular velocity versus time of this rotation:

Find the angular acceleration in the range from 0 to 2 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with regard to the time. Write the results below:

Acceleration:
Equation: ω=f(t)

Get the slope of the straight line in the range from 0 to 2 seconds and use analytical geometry to build the equation of that line, in the type of equation slope-intercept form. Write the results below:

Slope:
Origin intercept:
Equation: ω=f(t)

Determine how is the acceleration in the range from 2 to 4 seconds where the velocity is constant. Also determine the slope of the straight line and the slope-intercept equation, writing the results below:

Acceleration:
Slope:
Origin intercept:
Equation: ω=f(t)

Find the angular acceleration in the range from 4 to 6 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with regard to the time. Write the results below:

Acceleration:
Equation: ω=f(t)

Get the slope of the straight line in the range from 4 to 6 seconds and use analytical geometry to build the equation of that line, in the slope-intercept equation form. Write the results below:

Slope:
Origin intercept:
Equation: ω=f(t)

Find the angular acceleration in the range from 6 to 8 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with regard to the time. Write the results below:

Acceleration:
Equation: ω=f(t)

Get the slope of the straight line in the range from 6 to 8 seconds and use analytical geometry to build the equation of that line, in the type of equation slope-intercept form. Write the results below:

Slope:
Origin intercept:
Equation: ω=f(t)

Determine how is the acceleration in the range from 8 to 10 seconds where the velocity is constant. Also, determine the slope of the straight line and the slope-intercept equation; write the results below:

Acceleration:
Slope:
Origin intercept:
Equation: ω=f(t)

Find the angular acceleration in the range from 10 to 12 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with respect to time. Write the results below:

Acceleration:
Equation: ω=f(t)

Get the slope of the straight line in the range from 10 to 12 seconds and use analytical geometry to build the equation of that line, in the slope-intercept form. Write the results below:

Slope:
Origin intercept:
Equation: ω=f(t)

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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Find the angular acceleration in the range from 4 to 6 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with regard to the time

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