A car moves in a circle of radius 40m with a constant speed of 16m/s. What is the centripetal accelaration of the car?a.8.9 m/s2b.6.4m/s2c.7.4m/s2d.8.4m/s2
Question
A car moves in a circle of radius 40m with a constant speed of 16m/s. What is the centripetal accelaration of the car?a.8.9 m/s2b.6.4m/s2c.7.4m/s2d.8.4m/s2
Solution
The centripetal acceleration (a) of an object moving in a circle of radius r at a speed v is given by the formula:
a = v^2 / r
where: v = speed of the object r = radius of the circle
Plugging in the given values, we get:
a = (16 m/s)^2 / 40 m a = 256 m^2/s^2 / 40 m a = 6.4 m/s^2
Therefore, the centripetal acceleration of the car is 6.4 m/s^2.
The correct answer is:
b. 6.4m/s^2
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