What is the acceleration of a body revolving in a circle at uniform speed?

Question

lastdaywork · Answer

Let speed = v
radius = r

$$Acceleration = \frac{ v ^{2} }{ r }$$

anonymous · Answer

A. The acceleration is zero.

B. The acceleration is directed tangentially.

C. The acceleration is directed toward the center.

D. The acceleration is directed away from the center.

anonymous · Answer

Doesnt give me any numbers to work with only these statements.

lastdaywork · Answer

Acceleration ∥ Velocity changes latter's magnitude only.

Acceleration ⊥ Velocity changes latter's direction only.

I think, now you can deduce the answer.

anonymous · Answer

The acceleration is directed tangentially?

anonymous · Answer

shoot me if im wrong

lastdaywork · Answer

I wish i could :p

lastdaywork · Answer

You have to answer with respect to the path (i.e. the circle) not with respect to the velocity vector.

lastdaywork · Answer

I think your reasoning was correct.

anonymous · Answer

Acceleration is zero!!

lastdaywork · Answer

Can I know in which grade do you study?

anonymous · Answer

I'm a senior taking a juiors course lol

anonymous · Answer

juniors*

lastdaywork · Answer

Do you know about vectors?

anonymous · Answer

Uhh I kinda have an idea, it has to do with displacement and stuff like that right?

lastdaywork · Answer

In uniform circular motion, velocity of the body is constant in magnitude, but continuously changes its direction. (At any point, it would be tangential to the path).

Hence the acceleration is radial (radially inwards to be precise).

So your answer is (c) "The acceleration is directed toward the center."

anonymous · Answer

Wow, thank you for your help! And thank you for being patient with me, I am horrible at physics

lastdaywork · Answer

Everyone is, at some point of time.