Question

Определите радиус кривизны закругления дороги если при движении автомобиля со скоростью 54км в час его центростремительное ускорение 0,5метра в секунду в квадрате

Answer 1

A=V^2/R
R=V^2/a=225/0,5=450 м

Answer 2

Calculation of Radius of Curvature

To determine the radius of curvature of a road when a car is moving at a speed of 54 km/h and experiencing a centripetal acceleration of 0.5 m/s^2, we can use the formula:

a = V^2 / R

Where: - a is the centripetal acceleration - V is the velocity of the car - R is the radius of curvature

Given: - Velocity (V) = 54 km/h = 15 m/s - Centripetal acceleration (a) = 0.5 m/s^2

Substituting the given values into the formula, we can solve for the radius of curvature (R):

0.5 = (15)^2 / R

Simplifying the equation:

0.5 = 225 / R

Cross-multiplying:

0.5R = 225

Dividing both sides by 0.5:

R = 450 meters

Therefore, the radius of curvature of the road is 450 meters.