"A 2000 kg car drives around a circular exit ramp with a radius of 30 meters. The car drives all the way around the ramp in 10 seconds. How fast is the car driving?"

What variables represent the givens and unknown?

A 2000 kg car drives around a circular exit ramp with a radius of 30 meters The car drives all the way around the ramp in 10 seconds How fast is the car driving class=

Respuesta :

The speed of the car is 18.8 m/s

Explanation:

The variables that represent the givens are:

m = 2000 kg (mass of the car)

r = 30 m (radius of the curve)

t = 10 s (time elapsed to cover the curve)

The unknown is the speed of the car, which is given by:

[tex]v=\frac{d}{t}[/tex]

where d is the distance covered by the car during the time t.

Here the car covers a circular trajectory of radius r, so the distance covered is

[tex]d=2\pi r=2\pi(30)=188m[/tex]

Therefore, the speed of the car is

[tex]v=\frac{188}{10}=18.8 m/s[/tex]

Learn more about circular motion:

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