A car is going around a curve of radius 225 meters at constant speed. The centripetal acceleration of the car is 3.61 m/sec2, towards the center of the curve. What is the speed of the car?
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Ac = v^2/R
3.61 = v^2/225
To find the speed of the car, we need to use the formula for centripetal acceleration:
a = v^2 / r
Where:
a is the centripetal acceleration,
v is the speed of the car, and
r is the radius of the curve.
In this case, we are given that the centripetal acceleration, a, is 3.61 m/s^2 and the radius of the curve, r, is 225 meters.
Plugging these values into the formula, we can solve for v:
3.61 = v^2 / 225
To solve for v, first, multiply both sides of the equation by 225:
3.61 * 225 = v^2
811.25 = v^2
Now, take the square root of both sides to solve for v:
v = √811.25
v ≈ 28.5 m/s
Therefore, the speed of the car is approximately 28.5 m/s.