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## Homework Statement

A 500 kg race car starts at rest on a curve with a radius of 50 m. If it goes 20 degrees in 4 seconds with a constant angular acceleration, what is its total acceleration at the end of this time?

*m=500kg*

r = 50 m

angle = pi/9 radians

time = 4 seconds

r = 50 m

angle = pi/9 radians

time = 4 seconds

## The Attempt at a Solution

angular velocity=∆radians/∆time

angular accel=angular velocity/time

tangential accel=radius*angular accel

centripetal accel=angular velocity^2*r

angular velocity=(pi/9)/4 seconds = 0.0873 radians/second

angular accel=(0.0873 radians/second)/4 seconds = 0.0218 radians/second^2

tangential accel=(50m)(0.0218 radians/second^2)=1.09 m/s^2

centripetal accel=(0.0873 radians/second)^2(50 m) = 1.52 X 10^-4 m/s^2

TOTAL ACCELERATION = tangential acceleration + centripetal acceleration = 1.09 m/s^2 + 1.52 X 10^-4 m/s^2 = 1.09 m/s^2

I have a feeling I didn't do this right...