ANGULAR VELOCITY AND ANGULAR ACCELERATION IN THE ROTATIONAL MOTION OF A RIGID BODY
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This article covers rotational motion, angular velocity, instantaneous angular velocity, angular acceleration, mechanical motion, material point.Keywords:
Angular acceleration
Circular motion
Constant angular velocity
A piloted simulation that examined the effects of yaw motion cues on pilot-vehicle performance, pilot workload, and pilot motion perception was conducted on the NASA Ames Vertical Motion Simulator. The vehicle model that was used represented an AH-64 helicopter. Three tasks were performed in which only combinations of vehicle yaw and vertical displacement were allowed. The commands issued to the motion platform were modified to present the following four motion configurations for a pilot located forward of the center of rotation: (1) only the linear translations, (2) only the angular rotation, (3) both the linear translations and the angular rotation, and (4) no motion. The objective data indicated that pilot-vehicle performance was reduced and the necessary control activity increased when linear motion was removed; however, the lack of angular rotation did not result in a measured degradation for almost all cases. Also, pilots provided subjective assessments of their compensation required, the motion fidelity, and their judgment of whether or not linear or rotational cockpit motion was present. Ratings of compensation and fidelity were affected only by linear acceleration, and the rotational motion had no significant impact. Also, when only linear motion was present, pilots typically reported the presence of rotation. Thus, linear acceleration cues, not yaw rotational cues, appear necessary to simulate hovering flight.
Angular acceleration
Yaw
Circular motion
Linear motion
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Angular acceleration
Potentiometer
Circular motion
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It is available to grasp the angular displacement of a human body for instruction on a sport performance. Provided the instantaneous angular velocity is known, the angular displacement may be obtained by the integration of it. However, although the angular velocity and the rotational axis of a rigid body can be easily derived, how should the angular velocity of a flexible body be defined? The main purpose of this paper is to define the angular velocity and the rotational axis of a whole flexible body system. A family of compact generalized formulations of rotational motion for a flexible body or multibody is derived by adopting an instantaneous rotational axis of the whole body. Here, the current angular momentum of the whole flexible system is equated with the sum of the individual angular momentum on each element over the system. As an example, simulation of a motion analysis of human body on a sport, especially throwing motion analysis of a shot put, is carried out in order to verify the derived equations in the paper
Angular acceleration
Circular motion
Constant angular velocity
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Angular acceleration
Linear motion
Constant angular velocity
Circular motion
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Angular acceleration
Circular motion
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Abstract This chapter discusses the importance of circular motion and rotations, whose applications to chemical systems are plentiful. Circular motion is the book’s first example of a special case of motion using the laws developed in previous chapters. The chapter begins with the basic definitions of circular motion; as uniform rotation around a principle axis is much easier to consider, it is the focus of this chapter and is used to develop some key ideas. The chapter discusses angular displacement, angular velocity, angular momentum, torque, rigid bodies, orbital and spin momenta, inertia tensors and non-inertial frames and explores fictitious forces as well as transformations in rotating frames.
Circular motion
Moment of inertia
Angular acceleration
Dynamics
Rotational dynamics
Orbital motion
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MEMs gyros, such as those in smartphones allow the angular velocity of pendulums to be precisely measured at large angles, and phase plots of the angular acceleration versus the angular displacement confirm that even for the non-sinusoidal motion at amplitude . For amplitudes the angular acceleration has extrema of at angular displacement , i.e. the four times per oscillation that the pendulum is horizontal.
Angular acceleration
Pendulum
Circular motion
Oscillation (cell signaling)
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Moment of inertia
Angular acceleration
Angle of rotation
Euler's equations
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This article describes using PASCO optical-sensors in real time measurement of angular velocity and angular acceleration of the circular disc,and makes the circular disc rotational speed and acceleration measurements.The experimental design,measurement sciences,accurate and reliable data,reference to reality.
Angular acceleration
Circular motion
Optical disc
Constant angular velocity
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The exciter of primary angular acceleration calibration standard is developed by CIMM.It can generate standard rotational angle,angular velocity and angular acceleration,which are traceable to the International System of Units(SI).It can be used to calibrate the angular transducers,i.e.angular accelerometer,angular velocity transducer,and rotational angle transducer to obtain the magnitude and phase shift of complex sensitivity by sinusoidal vibration.This paper introduces the mechanic system,control system and measurement system of the standard.The calibration results of angular transducer using the standard are also introduced.It shows that the standard can be used in angular movement calibration in the frequency range from 0.1 Hz to 100 Hz.The amplitude uncertainty is better than 1% and the phase uncertainty is 1 degree.
Angular acceleration
Exciter
Constant angular velocity
Circular motion
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