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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.

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Q: Vector method to find out the acceleration of a particle is -wwrwhere angular velocity is w?
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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 trate of change of angular velocity, often represented by the letter alpha.


How do you find out the direction of angular accelaration?

The direction of angular acceleration comes from whether the angular speed of the object is clockwise or counterclockwise and whether it is speeding up or slowing down.The direction of the angular acceleration will be positive if the angular velocity is counterclockwise and the object's rotation is speeding up or if the angular velocity is clockwise and the object's rotation is slowing downThe direction of the angular acceleration will be negative if the angular velocity is clockwise and the object's rotation is speeding up or if the angular velocity is counterclockwise and the object's rotation is slowing downThe angular acceleration will not have a direction if the object's angular velocity is constant


How is the radius of rotation related to the centripetal force and angular velocity?

Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae): Radius of rotation is unrelated to angular velocity. Linear velocity = angular velocity x radius Centripetal acceleration = velocity squared / radius Centripetal acceleration = (angular velocity) squared x radius Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius


The measure of how fast a velocity is changing at a specific instant is known as?

The rate of change of velocity is known as acceleration. This can come in different forms (linear / nonlinear acceleration, angular acceleration ect).

Related questions

Can uniform angular velocity has acceleration?

No, uniform angular velocity means no angular acceleration.


What is angular acceleration?

Angular acceleration is the trate of change of angular velocity, often represented by the letter alpha.


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.


How do you find out the direction of angular accelaration?

The direction of angular acceleration comes from whether the angular speed of the object is clockwise or counterclockwise and whether it is speeding up or slowing down.The direction of the angular acceleration will be positive if the angular velocity is counterclockwise and the object's rotation is speeding up or if the angular velocity is clockwise and the object's rotation is slowing downThe direction of the angular acceleration will be negative if the angular velocity is clockwise and the object's rotation is speeding up or if the angular velocity is counterclockwise and the object's rotation is slowing downThe angular acceleration will not have a direction if the object's angular velocity is constant


How is the radius of rotation related to the centripetal force and angular velocity?

Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae): Radius of rotation is unrelated to angular velocity. Linear velocity = angular velocity x radius Centripetal acceleration = velocity squared / radius Centripetal acceleration = (angular velocity) squared x radius Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius


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


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.


How can explain inertia governor?

Centrifugal governors respond to angular velocity. Inertia governors respond to angular acceleration.


The measure of how fast a velocity is changing at a specific instant is known as?

The rate of change of velocity is known as acceleration. This can come in different forms (linear / nonlinear acceleration, angular acceleration ect).


What is the equation or the formula of centripetal acceleration?

a=(v^2)/r or a=r(angular velocity)^2


What is the difference between angular velocity and angular momentum?

angular momentum and angular velocity


What is the angular velocity of the wheel before braking began if the wheel rotates through 6 radians in 2 seconds as it is uniformly brought to rest?

It was 6 radians per second. Angular acceleration = -3 radians per second2 Initial angular velocity = 6 radians per second. Final angular velocity = zero. Average angular velocity = 3 radians per second. Angular displacement in 2 seconds = 3 x 2 = 6 radians.