A massless string is wound around a solid cylinder that has a radius of 0.37 m and a mass of 78.7 kg. The free end of the string is tied to a block of mass 7.87 kg which hangs straight down. At t = 0, the cylinder is allowed to spin about an axis through its center and the block falls, unwinding the string. Assume that the cylinder spins without friction. What is the angular acceleration of the cylinder? (in rad/s^2) 12. AO 4.42 BO 6.41 CO 9.29 DO 13.47 EO 19.53

A massless string is wound around a solid cylinder that has a radius of 0.37 m and a mass of 78.7 kg. The free end of the string is tied to a block of mass 7.87 kg which hangs straight down. At t = 0, the cylinder is allowed to spin about an axis through its center and the block falls, unwinding the string. Assume that the cylinder spins without friction. What is the angular acceleration of the cylinder? (in rad/s^2) 12. AO 4.42 BO 6.41 CO 9.29 DO 13.47 EO 19.53

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Question

How would I solve for angular acceleration?

A massless string is wound around a solid cylinder that has a radius of 0.37 m and a mass of 78.7 kg. The free end of
the string is tied to a block of mass 7.87 kg which hangs straight down. At t = 0, the cylinder is allowed to spin about
an axis through its center and the block falls, unwinding the string. Assume that the cylinder spins without friction.
What is the angular acceleration of the cylinder?
(in rad/s 2)
12. АО 4.42
ВО 6.41
CO 9.29
DO 13.47
ЕO 19.53

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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