Centripetal acceleration:

$\overline{){{\mathbf{a}}}_{{\mathbf{c}}}{\mathbf{=}}\frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}{\mathbf{=}}{\mathbf{r}}{{\mathbf{\omega}}}^{{\mathbf{2}}}}$

**1.**

The magnitude of the car's acceleration is:

$\begin{array}{rcl}{\mathbf{a}}_{\mathbf{c}}& \mathbf{=}& \frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}\\ & \mathbf{=}& \frac{{\mathbf{25}}^{\mathbf{2}}}{\mathbf{250}}\end{array}$

A car is traveling around a horizontal circular track with radius r = 250 m at a constant speed v = 25 m/s as shown. The angle θ_{A} = 35° above the x axis, and the angle θ_{B} = 66° below the x axis.

1) What is the magnitude of the car’s acceleration?

2) What is the x component of the car’s acceleration when it is at point A

3) What is the y component of the car’s acceleration when it is at point A

4) What is the x component of the car’s acceleration when it is at point B

5) What is the y component of the car’s acceleration when it is at point B

6) As the car passes point B, the y component of its acceleration is? increasing or constant or decreasing?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Circular Motion concept. You can view video lessons to learn Circular Motion. Or if you need more Circular Motion practice, you can also practice Circular Motion practice problems.