A car is traveling along a circular curve that has a radius of 50 m. If its speed is 16 m/s and is increasing uniformly at 8 m/s^2determine the magnitude of its acceleration at this instant.
The tangential acceleration, a_t is equal to 8 m/s^2. We now need to find the normal acceleration since the car is travelling along a circular curve. We can use the following formula to do so:
(Where a_n is normal acceleration, v is velocity, and \rho is the radius of the circle)
The magnitude of acceleration is: