"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 s

Question

3 years ago

9

econds. How fast is the car driving?"
What variables represent the givens and unknown?

1 answer:

aev [14] · Answer 1 · 2022-06-04T04:24:03+03:00

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:

$v=\frac{d}{t}$

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

$d=2\pi r=2\pi(30)=188m$

Therefore, the speed of the car is

$v=\frac{188}{10}=18.8 m/s$

Learn more about circular motion:

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