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?
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.
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