According to the handout According to the handout, you will be placing a penny o

Question

According to the handout

According to the handout, you will be placing a penny on a horizontal rotating platform, as in the top view and front view diagrams at right. Draw a free-body diagram for the penny, using the front view, while the platform is rotating, and the penny has not yet started to slip on the platform. A centripetal acceleration is, by definition, toward the center of a circle. A tangential acceleration, similarly, must be directed tangent to a circle. On the top view in the figure above, draw and label the directions of the centripetal and tangential accelerations of the penny, assuming that it is speeding up, and has not yet begun to slip from the platform. If an object has a centripetal acceleration of 1.0 m/s2, and a tangential acceleration of 4.0 m/s2, what is the magnitude of its total acceleration?

Explanation / Answer

2) a = sqrt(at^2+ar^2) = sqrt(4^2+1^2)= sqrt17 = 4.12 m/s^2

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