The mass of a disk is 10 kg and has a radius of 0.2 m rotating about an axis passing through its center. a. What is the angular acceleration of the disc to bring it to an angular velocity of 150 rad/s in 5s? b. What constant torque is required to bring it up that angular velocity?
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
Please draw the figure. Thank you.
1. The mass of a disk is 10 kg and has a radius of 0.2 m rotating about an axis passing through its center.
a. What is the
b. What constant torque is required to bring it up that angular velocity?
2. An engine flywheel and a clutch plate are both connected to a transmission shaft. Let the moment of inertia of the flywheel be I1 and its angular velocity ω1, and let the moment of inertia of the clutch plate be I2 and its angular velocity is ω2. The two discs have then been combined by forces which are applied at their axes of rotation so as not to cause any torque. The discs then reached a common final angular velocity after rotational collision. Find the expression for the final angular velocity.
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