what is magnitude of the centripetal if the tangential speed of the car is 2.0m/s and the radius of the wheel is 83m
To find the magnitude of the centripetal acceleration, we first need to determine the centripetal speed of the car. The centripetal speed is the speed of an object going in a circular path and is related to the radius and angular speed.
In this case, we are given the tangential speed of the car, which represents the speed at which the car is traveling tangent to the circular path. The tangential speed is not the same as the centripetal speed, but the two are related.
To find the centripetal speed, we use the formula:
Centripetal speed = tangential speed,
Since we are given that the tangential speed of the car is 2.0 m/s, we can conclude that the centripetal speed is also 2.0 m/s.
Now, we can find the magnitude of the centripetal acceleration using the following formula:
Centripetal acceleration = (Centripetal speed)^2 / Radius,
Substituting the given values into the equation, we have:
Centripetal acceleration = (2.0 m/s)^2 / 83 m,
Calculating the expression gives us:
Centripetal acceleration ≈ 0.048 m/s^2.
Therefore, the magnitude of the centripetal acceleration of the car is approximately 0.048 m/s^2.
centripetal FORCE is mv^2/r
centripetal ACCELERATION is v^2/r