A toy electric train moving at a constant speed on a circular track that has a radius of 1.2 meters goes around the track every 8 seconds.

a) what is the speed of the train?

b) what is the centripetal acceleration of the train?

c) what force turns the train?

You need to apply:

a) v = \omega R
b) a = \omega ^2 R, or a = v^2/R

For both of these you need to calculate \omega , which is the rotational velocity of the train meausred in radians/second. To do that, use: \omega =2 \pi/T

As for what force keeps it on the traccks - what do you think?

I don't know what the omega is though so I can't solve it. And the forces I think they are normal force and friction force

Is the speed 0.94 m/s?

Is the speed 0.94 m/s?

Yes - very good!

Was my answer for the forces correct? The friction force and the normal force.

How does friction cause the train to turn? Friction opposes the direction of motion of an object, so causes it to slow down, not turn (unless you have something weird going on causing uneven resistance - like a car whose brakes only work on the left side). And please clarify what you mean by "normal force" - in this problem you have a normal force between what and what?

Normal force is the perpendicular contact force exerted by a surface on another object. My choices for this answer are:

A) tension in a string
B) force of gravity
C) Friction
D) Normal Force
E) Force in a Sprng
F) Air resistance

It can be more than one. Im just not sure which one.

Well, there's no spring ir string in this problem,so those are out. So the question to you is: would gravity, friction, normal force, or air resistance cause a turning motion? Hint - this needs to be a force acting on the train towards the center of the circular track.

I say that there is gravity and air resistance. Am I correct?

And normal force... because of the train and the track

EDIT: this answer is in respnse to post #10

Nope. These forces both act on the train all right, but do NOT cause it to turn. Gravity is a force in the downward direction - not towards the center of the circle. Air resistance is a force opposing the diretion the train is moving (along the track) - again not toward the center.

and normal force... because of the train and the track

Normal force between the outside edges of the train wheels and the inside edges of the track, right?

Yes! I think that the train has a normal force and a friction force!

Why friction?? Think - what direction does friction work in? Does it make the train turn? Or just slow down?

Slow down

slow down

Right. So - of all the forces you listed, which one(s) make the train turn?

Ok for example a plane will need friction, gravity and normal force while it is in the air right?

The normal force makes the train turn.

Normal forces yes - caused by the force of the air against the tail and wings (assuming the plane is banking as it turns).

As for the other forces - why would either friction or gravity come into play? Same reasooing as with the train - these forces act in the wrong direction!

I think the forces that act on the plan are normal force and air resistance and gravity.

i think the forces that act on the plan are normal force and air resistance and gravity.

Déjà vu - I feel like I'm Bill Murray in the movie "Ground Hog Day!" See post #10.

I said gravity and air resistance on post #10.

i said gravity and air resistance on post #10.

Neither of which were correct when you guessed then, so why do you think they might be correct now? Stop just guessing at the answer and THINK - do either of these forces act towards the center of the circle?

No just the normal force.

Normal force it is!

Thank you for your help. I had needed it.

You're welcome!