a car rounds a curve with a radius of 45.0 m at a speed of 22.0 m/s. What is the centripetal acceleration of the car? please show work
a=v^2/r=(22^2)/45
To find the centripetal acceleration of the car, we can use the formula:
a = (v^2) / r
where:
a = centripetal acceleration
v = velocity
r = radius of the curve
Given:
v = 22.0 m/s
r = 45.0 m
Substituting the values into the formula:
a = (22.0 m/s)^2 / 45.0 m
Calculating:
a = 484.0 m^2/s^2 / 45.0 m
Simplifying:
a = 10.7556 m/s^2
Therefore, the centripetal acceleration of the car is approximately 10.76 m/s^2.