# Acceleration question (circular motion)

1. Dec 6, 2013

### SmallPub

1. The problem statement, all variables and given/known data will the acceleration of a car be the same when the car travels around a sharp curve at a constant 60 km/h as when it travels around a gentle curve at the same speed? Explain.

2. Relevant equations None

3. The attempt at a solution No the acceleration will not be the same because when you are turning the car sharply so you are changing your direction right away. If you are turning at a gentle curve at the same speed you are changing your direction not as fast as a sharp turn so the acceleration would be different.

Am I correct?

2. Dec 6, 2013

### BOYLANATOR

You are correct. There is an equation you could use to confirm your answer. If you assume that while the car travels around the bend it is briefly in circular motion, what formula could you use to describe the acceleration?

3. Dec 6, 2013

### SmallPub

I was thinking ac = v^2/r , ac= 4∏^2r/T^2

But im not sure

4. Dec 6, 2013

### BOYLANATOR

The first one looks good. Can you see what would happen to the variables in that equation if the corner became sharper?

5. Dec 6, 2013

### SmallPub

Would the radius become smaller making the acceleration larger? Correct me if i'm wrong

6. Dec 6, 2013

### BOYLANATOR

Yes. For a bonus, why is the car more likely to slide off the road and crash on the sharper bend?

7. Dec 6, 2013

### SmallPub

There would be less friction to keep the car on the road, making the car crash.

8. Dec 6, 2013

### BOYLANATOR

Right idea, but there's no real reason for the friction to decrease, it's more likely to remain constant...

9. Dec 6, 2013

### SmallPub

Ok got it! Thanks for the help!