Question

автомобиль движется со скоростью 36км\ч по закруглению дороги радиусом 200м. определите центростремительное ускорение. если можно в подробностях пожалуйста

Answer 1

36км/ч=10м/с
a=100/200=0.5$\frac{m}{ c^{2} }$

Answer 2

Calculation of Centripetal Acceleration

To determine the centripetal acceleration of a car moving at a speed of 36 km/h on a curved road with a radius of 200 m, we can use the formula for centripetal acceleration:

Centripetal acceleration (a) = (v^2) / r

Where: - v is the velocity of the car - r is the radius of the curved road

In this case, the velocity of the car is 36 km/h, which needs to be converted to m/s. We can use the conversion factor of 1 km/h = 0.2778 m/s.

Converting the velocity: 36 km/h * 0.2778 m/s = 10 m/s

Now, we can substitute the values into the formula to calculate the centripetal acceleration:

Centripetal acceleration (a) = (10 m/s)^2 / 200 m

Simplifying the equation: Centripetal acceleration (a) = 100 m^2/s^2 / 200 m

The units cancel out, leaving us with: Centripetal acceleration (a) = 0.5 m/s^2

Therefore, the centripetal acceleration of the car moving at a speed of 36 km/h on a curved road with a radius of 200 m is 0.5 m/s^2.