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?"

Respuesta :

Answer:

The car is driving at the speed of  18.85 meters per seconds.

Explanation:

Given:

The radius of the circular exit ramp   =  30 meters

Mass of the car = 2000 kg

Time  = 10 seconds

To Find :

The Speed of the car = ?

Solution:

We know that speed  =  [tex]\frac{distance}{time}[/tex]---------------(1)

Here the distance is the circumference of the circular exit ramp

Then circumference  =[tex]2 \pi r[/tex]

where r is the radius

On substituting the values

Distance = [tex]2\pi(30)[/tex]

Distance  = 188.5 meters------------------------(2)

Substituting (2) in (1)

speed =[tex]\frac{188.5}{10}[/tex] seconds

Speed = 18.85 meters per seconds