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Do two co-orbiting bodies have equal velocities?
Not necessarily. Two bodies co-orbiting can have different velocities depending on their mass and distance from the central body. The velocities of the bodies would be determined by the balance between gravitational force and centripetal force.
What is the difference between average acceleration and instantaneous acceleration?
Average acceleration is the average of the accelerations acquired in the whole journey by a body while instantaneous acceleration is the acceleration of the body at any particular instant of time.
What is instantaneous velocity of a body in terms of its average velocity?
The instantaneous velocity is the limit of the average velocity, as the time interval tends to zero. If you are not familiar with limits, basically you make the time interval very small and calculate the average velocity.
How is average velocity of a body calculated when its velocity changes at a non-uniform rate?
The average velocity of a body with non-uniform acceleration can be calculated by taking the average of the initial and final velocities over the time interval. This is done by adding the initial and final velocities and dividing by 2. Mathematically, the formula for average velocity is (v_initial + v_final) / 2.
What is relative velocity for two bodies A and B with velocities Va and Vb in the same direction?
If the velocities are equal from my point of view, then I see them both moving at the same speed and in the same direction. That means that from the point of view of an observer riding on either body, the other one is standing still. Their relative velocity is zero. This is exactly the situation with a passenger and the book she's reading, both in an airliner flying west at 400 mph.
Can the average velocity of the body be the same as instantaneous velocity?
Yes, the average velocity of the body can be same as the instantaneous velocity at a small time interval.The values of the average and the instantaneous velocities approach each other , as the length of time interval is decreased.
Can the average velocity of a body be the same as the instantaneous velocity?
Yes, but in uniform motion.
Do two co-orbiting bodies have equal velocities?
Not necessarily. Two bodies co-orbiting can have different velocities depending on their mass and distance from the central body. The velocities of the bodies would be determined by the balance between gravitational force and centripetal force.
What do you mean by instantaneous speed?
Instantaneous speed is the speed of a body at any one instant. There is really no such thing as the instantaneous speed, it is merely the average speed over a very short space of time.
What is the difference between average acceleration and instantaneous acceleration?
Average acceleration is the average of the accelerations acquired in the whole journey by a body while instantaneous acceleration is the acceleration of the body at any particular instant of time.
What is instantaneous velocity of a body in terms of its average velocity?
The instantaneous velocity is the limit of the average velocity, as the time interval tends to zero. If you are not familiar with limits, basically you make the time interval very small and calculate the average velocity.
How is average velocity of a body calculated when its velocity changes at a non-uniform rate?
The average velocity of a body with non-uniform acceleration can be calculated by taking the average of the initial and final velocities over the time interval. This is done by adding the initial and final velocities and dividing by 2. Mathematically, the formula for average velocity is (v_initial + v_final) / 2.
What do you understand by the instantaneous center of rotation in kinematics of machines?
The instantaneous center of rotation (ICR) in kinematics refers to a point in a moving body where, at a specific instant, the body appears to rotate about that point. For any rigid body in motion, the ICR can change over time as the body moves. It is particularly useful in analyzing the motion of linkages in mechanisms, as it simplifies the analysis of their movement by allowing the use of rotational motion concepts. The location of the ICR can be determined by the intersection of the velocities of points on the body.
Can the average speed of a body be zero and can the average velocity of a moving body be zero?
Since speed is a scalar quantity, the only way the average speed can be zero is if the instantaneous speed is at all times zero, making it not a moving body, so no on the average speed. The average velocity, on the other hand, can easily be zero. The simplest example is you running in a circle.
What is relative velocity for two bodies A and B with velocities Va and Vb in the same direction?
If the velocities are equal from my point of view, then I see them both moving at the same speed and in the same direction. That means that from the point of view of an observer riding on either body, the other one is standing still. Their relative velocity is zero. This is exactly the situation with a passenger and the book she's reading, both in an airliner flying west at 400 mph.
What is the moment of inertia about the instantaneous center in a rotating rigid body?
The moment of inertia about the instantaneous center in a rotating rigid body is a measure of how difficult it is to change the body's rotational motion around that point. It depends on the mass distribution and shape of the body.
Compare and contrast velocity and instantaneous speed?
velocity is just a general term for speed (it could be average velocity or instantaneous velocity). Instantaneous velocity/speed (same thing) is the speed at that second. If you are familiar with calculus, it is the derivative of the position graph. Whereas average velocity is how fast the object is going in, for example, 1 hour, it is the speed that is maintained the whole hour (or the average) Instantaneous would be that at the second, at for example t=1.425, the speed is 24m/h . something along those lines
