A pulley of moment of inertia 2.1 kg · m2 is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. Assume the following data: r1 = 37 cm, r2 = 20 cm, m1 = 1.0 kg, and m2 = 1.9 kg. (a) What is the angular acceleration of the pulley? (Enter the magnitude in rad/s2.) rad/s2 (b) What is the linear acceleration (in m/s2) of the weights? (Indicate the direction with the signs of your answers. Assume the upward direction is positive.)a1= m/s2a2= m/s2 m2m1

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A pulley of moment of inertia 2.1 kg · m² is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. Assume the following data: r₁ = 37 cm, r₂ = 20 cm, m₁ = 1.0 kg, and m₂ = 1.9 kg.

(a) What is the angular acceleration of the pulley? (Enter the magnitude in rad/s².)

rad/s²

(b) What is the linear acceleration (in m/s²) of the weights? (Indicate the direction with the signs of your answers. Assume the upward direction is positive.)

a₁= m/s²

a₂= m/s²

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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