A car travels along a horizontal circular curved road that has a radius of 600 m. If the speed is uniformly increased at a rate of 2000 km/h^2, determine the magnitude of the acceleration at the instant the speed of the car is 60 km/h.
Let us first convert our units of measurement to our base units.
2000 km/h^2 = 0.1543 m/s^2
60 km/h = 16.67 m/s
Our tangential acceleration, a_t is equal to 0.1543 m/s^2.
We now need to find the normal acceleration. It can be found using the following equation:
(Where a_n is normal acceleration, v is velocity, and \rho is the radius of curved path)
The magnitude of acceleration can then be found using the following equation: