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Vector method to find out the acceleration of a particle is -wwrwhere angular velocity is w?
Wiki User
∙ 15y ago
1) The position vector of a particle is r= (a cosώt) i+ (a sinώt) j. The velocity of the particle is and find the parallel position vector.
Wiki User
∙ 15y ago
To find the acceleration of a particle using the vector method, you can use the equation a = r x (w x v), where "a" is the acceleration, "r" is the position vector, "w" is the angular velocity vector, and "v" is the velocity vector. The cross product (x) represents the vector cross product. By taking the cross product of the angular velocity vector with the velocity vector and then multiplying the result by the position vector, you can find the acceleration of the particle.
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Can uniform angular velocity has acceleration?
No, uniform angular velocity means no angular acceleration.
What is angular acceleration?
Angular acceleration is the rate of change of angular velocity with respect to time. It measures how quickly an object's angular velocity is changing as it rotates around an axis. It is typically denoted by the symbol alpha.
How do you find out the direction of angular accelaration?
The direction of angular acceleration is determined by the direction of torque applied to an object. If the torque causes an object to rotate in a counterclockwise direction, the angular acceleration is positive. If the torque causes an object to rotate in a clockwise direction, the angular acceleration is negative.
Can stationary have non zero angular acceleration?
No, an object is considered stationary when it has zero velocity and zero acceleration. Angular acceleration refers to the rate at which an object's angular velocity changes over time. If something has a non-zero angular acceleration, it means that it is rotating at a changing rate.
When a particle move in a circle then angle between linear velocity and angular velocity?
The angle between the linear velocity and angular velocity of a particle moving in a circle is typically 90 degrees. This means that they are perpendicular to each other.
Can uniform angular velocity has acceleration?
No, uniform angular velocity means no angular acceleration.
When angular velocity decreases the direction of angular acceleration is opposite to angular velocity .why?
Take the velocity to be in positive direction. Positive acceleration increases velocity and they are in the same direction. Negative acceleration reduce velocity and they are in opposite direction. It does not matter if the motion in linear or anfular.
What is angular acceleration?
Angular acceleration is the rate of change of angular velocity with respect to time. It measures how quickly an object's angular velocity is changing as it rotates around an axis. It is typically denoted by the symbol alpha.
How do you find out the direction of angular accelaration?
The direction of angular acceleration is determined by the direction of torque applied to an object. If the torque causes an object to rotate in a counterclockwise direction, the angular acceleration is positive. If the torque causes an object to rotate in a clockwise direction, the angular acceleration is negative.
Is angular momentum always parallel to angular acceleration?
momentum is product of moment of inertia and angular velocity. There is always a 90 degree phase difference between velocity and acceleration vector in circular motion therefore angular momentum and acceleration can never be parallel
When a particle move in a circle then angle between linear velocity and angular velocity?
The angle between the linear velocity and angular velocity of a particle moving in a circle is typically 90 degrees. This means that they are perpendicular to each other.
Angular acceleration is it scalar or vector?
Angular acceleration is a vector quantity because it has both magnitude (rate of change of angular velocity) and direction in rotational motion. The direction of angular acceleration aligns with the axis of rotation it is acting upon.
How do you increase the angular velocity of a rotating object?
Angular velocity just means how fast it's rotating. If youaa want more angular velocity, just rotate it faster or decrease the radius (move it closer to the center of rotation). Just like force = rate of change of momentum, you have torque= rate of change of angular moment Or We can increase the angular velocity of a rotating particle by applying a tangential force(i.e. accelaration) on the particle. Since the velocity of the particle is tangential with the circle along which it is moving, the tangential accelaration will not change the diriction of the velocity(as angle is 0),but will cause a change in magnitude. Thus angular velocity will increase.
Is angular acceleration a pseudo vector?
No, angular acceleration is a true vector quantity because it has both magnitude and direction. It describes the rate at which an object's angular velocity is changing in a rotational motion.
What is the relationship between torque and velocity?
Torque is the rotational force applied to an object, while velocity is the speed at which the object is moving. In rotational motion, torque affects the angular acceleration of an object, which in turn can impact its angular velocity. The relationship between torque and velocity is described by the equation: Torque = Moment of inertia x Angular acceleration.
How is the radius of rotation related to the centripetal force and angular velocity?
The centripetal force required for an object to rotate in a circle is directly proportional to the square of the angular velocity and inversely proportional to the radius of rotation. This means that as the radius decreases, the centripetal force required to keep the object in circular motion increases, while an increase in angular velocity will also require more centripetal force.
How can explain inertia governor?
Centrifugal governors respond to angular velocity. Inertia governors respond to angular acceleration.
