Question

Какова линейная скорость тела , движущегося по окружности радиусом 5 м с ускорением 5 м / с ^2 ?

Answer 1

Формула движения по окружности

a=v²/R

v=√(aR)=√(5м×5м/с²)=5м/с

Answer 2

Linear Velocity of an Object Moving in a Circle

When a body moves in a circle with a constant acceleration, the linear velocity can be calculated using the formula:

v = u + at

Where: - v = final velocity - u = initial velocity - a = acceleration - t = time

In this case, the body is moving in a circle with a radius of 5 meters and an acceleration of 5 m/s^2. Since the body is moving in a circle, the acceleration can be considered as the centripetal acceleration, which is given by the formula:

a = v^2 / r

Where: - a = centripetal acceleration - v = linear velocity - r = radius of the circle

By rearranging the formula, we can solve for the linear velocity v:

v = sqrt(ar)

Substituting the given values: - a = 5 m/s^2 - r = 5 m

We get: v = sqrt(5 * 5) = 5 m/s

So, the linear velocity of the body moving in a circle with a radius of 5 meters and an acceleration of 5 m/s^2 is 5 m/s.