Question

Автомобиль движется на повороте по круговой траектории радиусом 50м с постоянной по модулю скоростью 20/мс. каково ускорение автомобиля?

Answer 1

Дано:
R= 50 м
v= 20 м\с

Найти:
а=?

Решение:
$a= \frac{v^2}{R} = \frac{400}{50} = 8$

Ответ: 8 м\с^2

Answer 2

Calculation of Acceleration

To calculate the acceleration of the car moving on a circular trajectory with a radius of 50 meters and a constant speed of 20 m/s, we can use the formula for centripetal acceleration:

Acceleration (a) = (Velocity (v))^2 / Radius (r)

Given that the velocity (v) is 20 m/s and the radius (r) is 50 meters, we can substitute these values into the formula:

Acceleration (a) = (20 m/s)^2 / 50 meters

Simplifying the equation:

Acceleration (a) = 400 m^2/s^2 / 50 meters

Acceleration (a) = 8 m/s^2

Therefore, the acceleration of the car is 8 m/s^2.