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A car traveling at a constant speed of 72km/hr rounds a curve of radius 100m. What is it's acceleration?

Question

A car traveling at a constant speed of 72 km/hr rounds a curve of radius 100 m. What is its acceleration?

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Solution

The acceleration of an object moving in a circle of radius r at a speed v is given by the formula a = v²/r.

First, we need to convert the speed from km/hr to m/s because the radius is given in meters.

1 km = 1000 m 1 hr = 3600 s

So, 72 km/hr = 72 * 1000 m / 3600 s = 20 m/s

Now we can substitute v = 20 m/s and r = 100 m into the formula:

a = v²/r = (20 m/s)² / 100 m = 400 m²/s² / 100 m = 4 m/s²

So, the car's acceleration is 4 m/s².

This problem has been solved

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