A disk brake on a car consists of a disk with a 0.121 m radius and a caliper that pushes a frictional surface against the edge of the disk (an idealization of a real brake). The moment of inertia of the disk system is 0.354 kg m2. a)At a certain speed of the car, the angular velocity of the disk is 156 rad/s. If the car manufacture wants the car to go from this speed to a full stop in 17 s, what is the magnitude of the angular acceleration of the disk? b) What is the torque that must be applied to the disk to bring it to rest in this time? c) What is the magnitude of the force that pushes the frictional surface against the disk to slow it to a stop if the coefficient of kinetic friction is 0.424?
A disk brake on a car consists of a disk with a 0.121 m radius and a caliper that pushes a frictional surface against the edge of the disk (an idealization of a real brake). The moment of inertia of the disk system is 0.354 kg m2. a)At a certain speed of the car, the angular velocity of the disk is 156 rad/s. If the car manufacture wants the car to go from this speed to a full stop in 17 s, what is the magnitude of the angular acceleration of the disk? b) What is the torque that must be applied to the disk to bring it to rest in this time? c) What is the magnitude of the force that pushes the frictional surface against the disk to slow it to a stop if the coefficient of kinetic friction is 0.424?
A disk brake on a car consists of a disk with a 0.121 m radius and a caliper that pushes a frictional surface against the edge of the disk (an idealization of a real brake). The moment of inertia of the disk system is 0.354 kg m2. a)At a certain speed of the car, the angular velocity of the disk is 156 rad/s. If the car manufacture wants the car to go from this speed to a full stop in 17 s, what is the magnitude of the angular acceleration of the disk? b) What is the torque that must be applied to the disk to bring it to rest in this time? c) What is the magnitude of the force that pushes the frictional surface against the disk to slow it to a stop if the coefficient of kinetic friction is 0.424?
A disk brake on a car consists of a disk with a 0.121 m radius and a caliper that pushes a frictional surface against the edge of the disk (an idealization of a real brake). The moment of inertia of the disk system is 0.354 kg m2. a)At a certain speed of the car, the angular velocity of the disk is 156 rad/s. If the car manufacture wants the car to go from this speed to a full stop in 17 s, what is the magnitude of the angular acceleration of the disk? b) What is the torque that must be applied to the disk to bring it to rest in this time? c) What is the magnitude of the force that pushes the frictional surface against the disk to slow it to a stop if the coefficient of kinetic friction is 0.424?
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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