Question

A racecar experiences a centripetal acceleration of 36.0 m/s2 as it travels at a constant speed of 27.0 m/s along a circular arc. What is the radius of the circle?

9.3 m

0.18 m

20 m

14 m

Answer 1

Answer: Third option.

Explanation: The equation for the centripetal acceleration in a circle is calculated as:

Ac = v^2/r

where v is the velocity of the car and r is the radius of the circle.

We know that Ac = 36 m/s^2 and v = 27 m/s, now we can replace it in the equation for Ac and find the value of r.

36 = 27^2/r

r= 27^2/36 = 20.25m

So the radius of the circle is 20.25m, the answer that is more close to it, is the third one, 20m

Answer 2

20.25 m

Step-by-step explanation:

• Centripetal acceleration is given by; the square of the velocity, divided by the radius of the circular path.

That is;

ac = v²/r

Where; ac = acceleration, centripetal, m/s², v is the velocity, m/s and r is the radius, m

Therefore;

r = v²/ac

= 27²/36

= 20.25 m

Hence the radius is 20.25 meters