Question

A car drives at a constant speed of 3m/s around a circle with radius 20m. What is the centripetal acceleration of the car

Answer 1

Answer: Centripetal acceleration, a=0.45m/s²

Step-by-step explanation:

Centripetal force is a force that causes a body( such as car) to move in a circular motion.

F= mv²/r

And its acceleration is called centripetal acceleration.

F=ma

ma= mv²/r

a= v²/r

Given that v=3m/s and r= 20m

a= 3²/20 =9/20

a= 0.45m/s².

Therefore the centripetal acceleration of the car is 0.45m/s²

Answer 2

Centripetal acceleration is the motion inwards towards the center of a circle. It is given by the square of velocity, divided by the radius of the circular path.
ac = v²/r, where ac is the centripetal acceleration in m/s²
Therefore,
Centripetal acceleration = 3²/20m
= 9/20m
= 0.45 m/s²
Thus, the centripetal acceleration is 0.45 m/s²