Kit Library / Science / Physics
Quick KitShared by a Veda teacher · Generated with Veda AI
Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. Here's a taste from this kit; the app has the full deck.
Velocity changes direction, not speed.
In uniform circular motion, speed is constant but velocity is not, because direction changes continuously. This change in velocity over time is an acceleration. The direction of this acceleration is always toward the center of the circle, hence the name centripetal (ce...
↳ Centripetal acceleration is the rate of change of velocity direction, always pointing toward the circle's center.
A precise definition for a precise concept.
Centripetal acceleration ($a_c$) is the acceleration experienced by an object moving in a circular path at constant speed. It is always directed radially inward, toward the center of the circle, and is responsible for changing the direction of the velocity vector.
↳ Centripetal acceleration is the inward acceleration that keeps an object on a circular path.
Start with two velocity vectors.
Consider an object moving with constant speed $v$ on a circle of radius $r$. At a time $t_1$, its velocity is $\vec{v}_1$, and after a small time interval $\Delta t$, at time $t_2$, its velocity is $\vec{v}_2$. Both vectors have the same magnitude $v$, but different directions.
↳ The change in velocity is found by vector subtraction of the two velocity vectors.
Centripetal acceleration is the acceleration experienced by an object moving in a circular path at constant speed, always directed toward the center of the circle. Its magnitude is derived geometrically from the change i...
~8 min · full explanation, examples & memory tricks in the app
28 questions laddered from warm-up to topper-level, each with an explanation. A taste:
What is the direction of centripetal acceleration for an object moving in a uniform circular motion?
BeginnerRadially inward toward the center
Centripetal acceleration always points toward the center of the circular path, causing the change in direction of velocity.
The magnitude of centripetal acceleration is given by which formula?
Beginner$a_c = \frac{v^2}{r}$
The standard formula for centripetal acceleration is $a_c = \frac{v^2}{r}$, where $v$ is the speed and $r$ is the radius.
In the derivation of centripetal acceleration, what does the change in velocity vector ($\Delta \vec{v}$) represent?
IntermediateThe change in direction of the velocity
In uniform circular motion, speed is constant, so $\Delta \vec{v}$ arises solely from the change in direction of the velocity vector.
For a particle moving in a circle of radius $r$ with constant speed $v$, the time period $T$ is related to $v$ by:
Intermediate$T = \frac{2\pi r}{v}$
The circumference is $2\pi r$, so the time for one revolution is $T = \frac{2\pi r}{v}$.
17 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.
