Rotational (Angular) Kinematics is similar to Linear (Translational) Kinematics

Our previous knowledge of translational kinematics and motion can be extended to describe rotational kinematic motion.

A radian 𝚹 in rotational kinematics is analogous to displacement in linear (translational) kinematics

When linear distance, (d,s,x,etc…), was measured, we used meters or similar metric unit. Now we must use radians to measure angular or rotational distance, θ.

A radian “𝚹” is analogous to a meter

Thus an angle will be analogous to distance .

Relationship

s = rRotational (Angular) Kinematics is similar to Linear (Translational) Kinematics

Our previous knowledge of translational kinematics and motion can be extended to describe rotational kinematic motion.

A radian 𝚹 in rotational kinematics is analogous to displacement in linear (translational) kinematics

When linear distance, (d,s,x,etc…), was measured, we used meters or similar metric unit. Now we must use radians to measure angular or rotational distance, θ.

A radian “𝚹” is analogous to a meter

Thus an angle will be analogous to distance .

Relationship

s = r**𝚹**

**𝚹 **= s/r

Activity 85.10

Read Section 10.1 in the textbook.

Pick up a copy of this Seminar Problem 1 and complete.

Activity 85.20

Pick up a copy of this Angular Motion & Acceleration Worksheet and complete. When done check your answers here.

The equations and concepts you learned in Translational Kinematics have an analogous relationship to Rotational Kinematics.

Activity 85.30

Activity 85.40