Two objects, m₁ and m₂, both of mass m, are placed on a horizontal platform which is rotating at a constant angular velocity. m₁ is located at a distance R from the axis of rotation and m₂ is located at a R. The tangential acceleration of mass m₁ ____ to the tangential acceleration of m₂. A) is less than B) is equal to C) is greater than D) depends how fast it is rotating E) unable to tell

Question

Quizplus · Accepted Answer

The tangential acceleration of both objects depends only on the distance from the axis of rotation and the angular velocity, and is given by the equation a = Rω^2, where a is the tangential acceleration, R is the distance from the axis of rotation, and ω is the angular velocity. Since both objects have the same angular velocity and the same distance from the axis of rotation, their tangential accelerations are equal. Therefore, the answer is B.

Two Objects, M1 and M2, Both of Mass M, Are

Two Objects, M₁ and M₂, Both of Mass M, Are