what is the acceleration of a car going 25m/s on a cloverleaf with a radius of 45 m?
To find the acceleration of a car traveling on a cloverleaf with a given radius, you can use the formula for centripetal acceleration. Centripetal acceleration is the acceleration directed towards the center of a circular path.
The formula for centripetal acceleration is:
a = v^2 / r
where:
a is the centripetal acceleration
v is the velocity of the car
r is the radius of the circular path
In this case, the given velocity (v) of the car is 25 m/s, and the radius (r) of the cloverleaf is 45 m.
Now, let's substitute these values into the formula:
a = (25 m/s)^2 / 45 m
To calculate this, we need to square the velocity first:
a = (625 m^2/s^2) / 45 m
Next, we divide the squared velocity by the radius:
a = 13.89 m/s^2
Therefore, the acceleration of the car on the cloverleaf with a radius of 45 m is 13.89 m/s^2.