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The kinematics of rotational motion describes the relationships between the angle of rotation, angular velocity, angular acceleration, and time. It only describes motion—it does not include any forces or masses that may affect rotation (these are part of dynamics).
- 10.2 Kinematics of Rotational Motion
Rotational kinematics (just like linear kinematics) is...
- 10.2 Kinematics of Rotational Motion
Rotational kinematics (just like linear kinematics) is descriptive and does not represent laws of nature. With kinematics, we can describe many things to great precision but kinematics does not consider causes.
Rotational Equations of Motion. We define the following angular (rotational) versions of what we studied previously in kinematics: position: θ(t) displacement: Δθ = θ2 − θ1 average velocity: ωave = Δθ Δt instantaneous velocity: ω(t) = dθ dt average acceleration: αave = Δω Δt instantaneous acceleration: α(t) = dω dt.
Each of the kinematic equations include four variables. If the values of three of the four variables are known, then the value of the fourth variable can be calculated. In this manner, the kinematic equations provide a useful means of predicting information about an object's motion if other information is known.
- 15 min
- David SantoPietro
- At 14:03, how did the answer become -6.37 m/s^2? I substituted the same values in the exact same kin...I know the answer to your question! Ok, so when you put them into the calculator, ALWAYS PUT PARENTHESIS FOR PI! It is so important! If you just di...
- At 11:34, How is the answer 160m/s ? where did the radians go? Why not 160m rad/ sec? Thanks.radians are “unitless.” you can essentially add or drop them wherever you like without changing the value, and they’re very conveniently defined so...
- At 11 minutes, why did you use the full 4m for R? When working the problem I assumed 4m to be diamet...There is no diameter here. r is the distance from the pivot point to where the force is applied. It's 4 meters.
- How can `(4m)(40rad/s)` be equal to `160m/s`? I know the numbers are correct, but units don't really...As it happens, the ```rad``` can be ignored, because radians are at their heart a ratio. And ratios are unitless, because ``` 5 units / 10 units =...
- what is the good way to memorize the kinematic formulas? I understand how they are used but there ar...Hi, I suggest you think about how you can derive them. For example, take `v^2 = v0^2+2a delta x` You see that since ``` v^2 = (v0 + at)^2 = v0^2 +...
- What if the angular velocity is not constant? What would the new equations be? How would I derive th...These formulas are for constant *angular acceleration*, not constant angular velocity. If the angular acceleration is not constant, then the only w...
- How can (4m)(40rad/s) be equal to 160m/s? I know the numbers are correct, but units don't really wor...Think of how a radian is defined? A radian is a distance along the circumference of a circle divided by the radius (a distance from the center of t...
- 11:25 Where did the radians unit go? Why isn't it 160 (m rad)/s?Radians are actually m/m where it is a ratio of distance around the circle over the radius of the circle so radians are unitless.
Fórmulas cinemáticas rotacionales (video) | Khan Academy. Google Classroom. Acerca de. Transcripción. David explica las fórmulas cinemáticas rotacionales y resuelve un par problemas de ejemplo con ellas. Creado por David SantoPietro. Preguntas. Sugerencias y agradecimientos. ¿Quieres unirte a la conversación? Inicia sesión. Ordenar por: Más votados
Summary. Observe the kinematics of rotational motion. Derive rotational kinematic equations. Evaluate problem solving strategies for rotational kinematics. Just by using our intuition, we can begin to see how rotational quantities like θ, ω, θ, ω, and α α are related to one another.
