The car moves along the curve of the road with a radius of 150 m at a speed of 60 km / h. Find the centripetal

The car moves along the curve of the road with a radius of 150 m at a speed of 60 km / h. Find the centripetal acceleration of the car. Will the centripetal acceleration increase or decrease if the speed of the car remains the same and the radius of the curvature of the road increases?

Given:
R = 150 m;
V = 60 km / h.
To find:
a -?
Decision:
Let’s express 60 km / h in m / s. To do this, multiply by 1000 (1 km = 1000 m) and divide by 3600 (1 h = 3600 s).
60⋅1000: 3600 ≈ 16.67 m / s.
Let’s write down the acceleration formula for movement in a circle and substitute numerical values into it:
a = V² / R;
a = 16.67² / 150 ≈ 1.852 m / s².
Since the centripetal acceleration is inversely proportional to the radius, increasing the latter will decrease the acceleration.
Answer: 1.852 m / s²; centripetal acceleration will decrease.