# Question #c7911

Jan 21, 2018

The centripetal acceleration is $= 25 m {s}^{-} 2$ and the tangential acceleration is $= 0 m {s}^{-} 2$

#### Explanation:

The speed of the car is $v = 100 m {s}^{-} 1$

The radius of the track is $r = 400 m$

The angular velocity is $\omega = \frac{v}{r} = \frac{100}{400} = 0.25 r a {\mathrm{ds}}^{-} 1$

The angular acceleration is $\alpha = 0 r a {\mathrm{ds}}^{-} 2$

The tangential acceleration is ${a}_{T} = \alpha r = 0 \cdot 400 = 0 m {s}^{-} 2$

The centripetal acceleration is ${a}_{C} = {v}^{2} / r = {100}^{2} / 400 = 25 m {s}^{-} 2$