Problem: 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 θA = 35° above the x axis, and the angle θB = 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 A3) What is the y component of the car’s acceleration when it is at point A4) What is the x component of the car’s acceleration when it is at point B5) What is the y component of the car’s acceleration when it is at point B6) As the car passes point B, the y component of its acceleration is? increasing or constant or decreasing?

FREE Expert Solution

Centripetal acceleration:

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

1.

The magnitude of the car's acceleration is:

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

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