Is the direction of angular velocity always equal to the direction of 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
Yes. Acceleration is always in the same direction as the unbalanced force. Note: This does not mean that velocity is necessarily in that direction. Velocity and acceleration are two different things. The integral of acceleration does become velocity, and the integral of velocity does become position, but that has nothing to do with the answer to the question.
No. Acceleration is a change of velocity and doesn't have to point in the same direction. Consider braking car: it still moves with decreasing velocity in one direction, while braking force and thus acceleration is in the opposing direction.
How can you find the direction of angular momentum if the position vector and force vector lie on the plane?
By finding the direction of angular velocity because it's always parallel to it.
No, acceleration is change in velocity. (And velocity is speed in a certain direction.) If an object slows down, then it is changing velocity and thus accelerating. (In this case, the acceleration is negative.) If an object changes direction, then it's velocity changes, so this is also acceleration. (This is centripetal acceleration.)
No. Acceleration only affects velocity in one particular direction (same direction as acceleration). Speed is the summation of velocities in all directions.
"Constant" means that regardless of when you measure it, the result is always the same. "Velocity" means speed and its direction. "Acceleration" means the rate at which speed is changing, and the direction in which it's changing.
Acceleration is defined as the change in velocity, and is a result of a force being applied on the object in question. Acceleration will not always result in an object changing direction, but it is capable of it (in the case of centripetal acceleration, all it does is change the direction.) Acceleration is a vector, therefore a direction must always be given when a value is stated.
Yes. Any acceleration is a change in velocity. So: What is velocity? Velocity is speed with direction Just speed would be: Sally runs 4km/h Velocity would be: Sally runs 4km/h north. The earth is moving at a fast speed around the sun. Because we are moving around the sun along a closed elliptical path we are always changing direction. (This is like running around an oval. As you run, you constantly change direction so that… Read More
There's no connection. What you can say however is that the directions of force and acceleration are always the same.
Constant velocity has speed always constant along the direction with respect to time. Variable velocity changes its speed with respect to time. Constant velocity has zero acceleration. Variable velocity has non-zero acceleration . An object moving at a constant velocity maintains both the same speed and direction. An object moving at a variable velocity can be changing speed or direction of travel or both.
Because you are traveling in a curved path. Acceleration is the time rate of change of velocity. Velocity is a vector quantity. A vector has both a magnitude and a direction. Even if you move at uniform speed in a circle, your velocity is constantly changing, because your direction is changing. The acceleration is also a vector, and points in the direction that the velocity is changing. To speak more precisely, the acceleration is the… Read More
Is it possible that the velocity of an object be in a direction other than the direction of accalaration?
Of course. When you toss a ball or a stone UP into the air, then for all the time until it reaches its peak and begins to fall, its velocity is upward but its acceleration is downward. The acceleration of gravity is always downward, but material objects frequently have upward velocities. In any situation where an object's acceleration is opposite to its velocity, a Physicist would say that the object is "slowing down". Another example… Read More
The only difference is in the direction. Acceleration is when you increase your speed, deceleration is when you decrease your speed. Like pressing a gas pedal or brake in a car. In more technical terms, acceleration is parallel to and in the direction of velocity whereas deceleration is parallel and opposite to velocity. In any case, you can always call deceleration "Acceleration in the opposite direction of motion" In physics, both are just called "acceleration".
Is the acceleration due to gravity always pointing vertically downward even for an object whose velocity is vertically upward?
Acceleration only depends on the direction of the applied force and is independent of the velocity of the object, so gravity is always pointing down.
If you are talking about free fall, acceleration due to gravity and velocity will both be negative, until terminal velocity is reached, at which point the falling object is no longer accelerating and has constant negative velocity.
If you accelerate an object in one direction the velocity is in the same direction; however if it alraedy had an itial velocity that may not be true. V = vo + at For example if moving with initial velocity to the East and accelerated to the west, it will slow down but still move east for a time
The speed of the object in motion, the radius of the curve in which it moves, the force acting on it to keep it moving in a circle, its angular velocity, and its centripetal acceleration, are all constant. Notice that its linear velocity is not constant, because the direction of its motion is always changing. Although I guess you'd have to say that its velocity is constant in polar coordinates, because the radial and tangential… Read More
Velocity. A change in VELOCITY will always indicate the acceleration of an object.
Actually, a car always accelerates on a curve. This is because acceleration, like the velocity it alters, is a vector that has both magnitude and direction. Since taking a curve involves a change of direction, there must be an acceleration to alter the direction; otherwise, the car can only continue straight.
Acceleration is defined as the change in velocity divided by the time or a = (vf - vi)/t Velocity measures the speed and the direction of an object. In uniform circular motion, the object has the same speed but it is always changing direction and so, by the definition of acceleration, the object is considered accelerating. If this acceleration doesn't exist, the object would move in a straight line according to Newton's laws of motion.
Yes because velocity vector is got by the product of acceleration vector and time which is scalar. v = a t (Except when you toss a ball upward, and until it reaches the top, it has upward velocity and downward acceleration. But in all other situations except for that one.) (And except when a yo-yo or an artificial satellite is moving in a circle, and its velocity is always tangent to the circle but its… Read More
The velocity in the x direction would be constant because gravity only affects the vertical components of objects. The velocity in the y direction would increase due to the constant acceleration due to gravity. The acceleration due to gravity on Earth is always -9.81 m/s^2.
Acceleration is defined as the rate of change of velocity... so, yes.
Acceleration is change in velocity. It is a vector, so some direction is choosen as positive and the opposite direction as negative. Then you have two possibilities;(1) the object is increasing its speed in the negative direction. (2) the object is decreasing its speed in the positive direction. Both of these give negative acceleration. For example; if up is choosen as positive then acceleration due to gravity is always negative because when a projectile is… Read More
Acceleration is the rate of change of velocity over time, so velocity must always be changing if the object is accelerating. HOWEVER, you said speed which means only magnitude, not direction. If you stay the same speed, but change direction then you are accelerating. Simple answer: when you are going the same speed in a circle - velocity changes, therefore acceleration changes.
Vectors are quantities that have a size and a direction. Examples: Displacement, velocity, acceleration, momentum, force. Scalars are quantities that have a size but no direction. Examples: Temperature, cost, speed, length, height, width, age, energy. ===== Scalar quantities have only magnitude. Vector quantities have both magnitude and direction. Temperature and volume are scalar because they don't have a particular direction. Velocity and Force (because acceleration actually has a direction) are vector quantities. Velocity is the… Read More
The rotational kinetic energy of a rigid body can be expressed in terms of its moment of inertia. For a system with N point masses mi moving with speeds vi, the rotational kinetic energy T equals where ω is the common angular velocity (in radians per second). The final expression I ω2 / 2 also holds for a mass density function with a generalization of the above derivation from a discrete summation to an integration… Read More
False. An object at constant velocity is at zero or no acceleration. Of course, if the acceleration is always 0, then it is a constant acceleration of zero.
Acceleration: Always the same, doesn't need to be calculated. Acceleration of gravity = 9.8 meters (32.2 ft) per second2 Acceleration of gravity is negative (points down). Velocity: (Initial velocity) + [ (acceleration) x (time) ] Positive velocity = moving up Negative velocity = moving down
Yes, always. Velocity is a vector, meaning it has both a magnitude and a direction. You must account for the direction. Speed is the magnitude of velocity and has no direction.
Having a net force always leads to an acceleration due to Newton's famous law; F = m * a. An acceleration is a change of velocity therefore a net force will always change the velocity of an object.
No, any turning object undergoes acceleration because the direction is always changing. The acceleration vector points into the circle of rotation, and the velocity vector is a tangent line to the circle at any given point. The equation is Centripetal Acceleration=v^2/r
First of all, let's review the meaning of a few words, just so the rest of our discussion won't be totally sloppy: -- 'Velocity' means speed and direction. 'Constant velocity' means constant speed in a straight line. -- An object moving in a circular path is always changing direction, so it can't possibly have 'constant velocity'. -- 'Acceleration' is the rate of change of velocity ... either speed or direction. So an object moving with… Read More
Newton's Second Law: F=ma; or a=F/m. A force will produce an acceleration, which in physics means a change of velocity (more precisely, the acceleration is the rate of change of velocity). Such a change of velocity can mean that the speed increases, that it decreases, or that it changes direction. Specifically, a force will NOT always make an object move "faster".
Force changes the velocity of an object by acceleration, a=F/m.
A horizontal line parallel to speed axis indicates that the body is moving at a constant speed i.e. it's speed doesn't change with passage of time. The body may have zero or non zero acceleration, but it will always have non zero velocity. But, that doesn't mean that body's velocity is constant and it is not accelerated. For example in uniform circular motion the speed of body remains constant but velocity changes due to change… Read More
Is it possible for an object to have a net force directed in a different direction as their acceleration?
No. The direction of an object's acceleration is always the same as the direction of the net force on it.
The acceleration is always -9.81 m/s^2. At its highest point the velocity is zero, but its acceleration is always constant.
No. Velocity has direction and magnitude. The magnitude can be constant, but if the body is in circular motion, the direction of the movement is constantly changing, which means that the velocity is constantly changing. Changing velocity means that the body is accelerating. In this case, because the motion of the body is always changing away from a straight line to cause it to go round the circle, the acceleration acts towards the centre of… Read More
The direction of the net force applied on the object.
No. Acceleration may point in any direction at all with respect to the direction of motion. Acceleration in the direction of motion increases the speed in the same direction. Acceleration in the opposite direction leads to an effect commonly referred to as "slowing down". Acceleration in any other random direction bends the path of the motion, and may increase or decrease the speed.
The graph of velocity vs time. Not speed vs time. Acceleration is a vector as is velocity, but speed is not. When going round a circular path at constant speed, your velocity is constantly changing (its direction) and you are always accelerating (towards the centre of the circular path).
Velocity is a vector, meaning that along with the measurement of speed in meters/second, it also needs a direction. If a car was driving North at 10ms-1 that would be its velocity at that point. The car then turns left so it's travelling west at 10ms-1. The car's velocity has changed, therefore there must have been some acceleration for the car's velocity to have changed. That acceleration is always towards the middle of the circle… Read More
No. But its acceleration is.
Acceleration is always in the same direction as net force. If the force is centripetal, then it is toward the center of the path's curvature, and the acceleration is too.
Yes. Most people think of acceleration as a change in speed, but it's actually a change in velocity, which is a combination of speed and direction. Since the direction of motion is always changing if an object is moving in a circle, then the object must continually accelerate to maintain the circular motion.
Change in direction is not always change in accleration. Acceleration of a moving body has the same direction as the force applied on it(Newton's 2nd law) . So if the direction and magnitude of force remain same then there is no change in acceleration. For example if an electron is moving at right angles to a uniform electric field, then direction of motion can change, but acceleration is same always. Direction is opposite to field… Read More
As usual when we talk about falling objects, we have to ignore air resistance, because its effects depend on the size, shape, and composition of the object that's falling, as well as the temperature, pressure, humidity, and wind-speed of the local air, and we have none of that information. So we must simply treat the whole subject as if the only effects on the falling object are those that are the result of gravity. Velocity… Read More
Using the term "trajectory" implies that the acceleration you are concerned about is due to gravity. Gravity will always be perpendicular to the surface. Unless the trajectory begins perpendicular to the surface, it will never change to become perpendicular and the velocity will never be in a direction parallel to the acceleration. If it starts perpendicular to the surface it will start and remain perpendicular. Of course if you have another force acting on the… Read More