Determine the speed of a car moving at a constant speed along a ring road with a radius of 60 m

Determine the speed of a car moving at a constant speed along a ring road with a radius of 60 m, if the force is 4 kN. Vehicle weight 2.5 tons.

Given: R (radius of the ring road) = 60 m; F (pulling force) = 4 kN (4 * 10 ^ 3 N); m (mass of the vehicle in question) = 2.5 t (in SI m = 2.5 * 10 ^ 3 kg).

We express the constant speed of the car under consideration on the ring road from the equality: a = F / m = an (since the speed is constant, then аτ (tangential acceleration) = 0 m / s2) = V2 / R, whence V = √ (F * R / m).

Calculation: V = √ (4 * 10 ^ 3 * 60 / (2.5 * 10 ^ 3)) = 9.8 m / s.

Answer: On the ring road, the car was moving at a constant speed of 9.8 m / s.