Question

A race car goes around a level, circular track with a diameter of 1.00 km at a constant speed of 95 km/h. What is the car's centripetal acceleration in m/s2?answer in: m/s2

Answer 1

To start, we need to know the formula for centripetal acceleration

$a=\frac{v^2}{r}$

In this problem, we know that the speed of the vehicle is 95 km/hr

We will need to convert that speed into m/s

95 km/hr = 26.3889 m/s

Second, we know that the diamater of the circular track is 1 km.

To find radius, we just take half of the diameter, which makes the radius 500 meters.

Now we have:

Velocity = 26.3889 m/s

& Radius = 500 meters

Plugging this into the centripetal acceleration formula yields us

a = (26.3889)^2/500 = 1.39 m/s^2