What happens to the angular velocity if radius increases?

Linear/tangential velocity, in a circlular path, increases with the increase in radius and decreases with the decrease in radius. Hence, the angular velocity remains the same no matter what the change in radius is(W=V/r).

Why does angular velocity increase as radius decrease?

The speed of the mass is equal to the angular velocity x radius, and if mass and angular momentum are constant, than a decrease in radius requires an increase in angular velocity, while the speed of the mass remains constant (same speed in a smaller circler means a faster rate of rotation).

How does radius affect velocity in circular motion?

For instance, the equation suggests that for objects moving around circles of different radius in the same period, the object traversing the circle of larger radius must be traveling with the greatest speed. In fact, the average speed and the radius of the circle are directly proportional.

What happens to angular velocity in uniform circular motion?

Figure 1: Velocity v and acceleration a in uniform circular motion at angular rate ω; the speed is constant, but the velocity is always tangent to the orbit; the acceleration has constant magnitude, but always points toward the center of rotation.

Why does velocity increase when radius increases?

To understand it intuitively look at it like this: when radius increases less force is needed to create the curved path. Since force is still constant, the extra bit of force which is not used to change the direction of the body is used to increase the body’s speed.

Does velocity decrease as radius decreases?

In this case, again, velocity increases as radius is decreased, but to do that and remain in orbit, one must fire engines to speed the satellite up! Hence, v = wr, and since w is a constant independent of radius, v and r are directly proportional. Increased r will lead to increased v.

What happens to angular momentum when radius decreases?

Angular momentum is defined as L=r×p where r is the center of rotation and p is the momentum. Since angular momentum is conserved, if r decreases then p must increase.

How does radius affect uniform circular motion?

When an object is experiencing uniform circular motion, it is traveling in a circular path at a constant speed. If r is the radius of the path, and we define the period, T, as the time it takes to make a complete circle, then the speed is given by the circumference over the period.

Does velocity change in uniform circular motion?

In uniform circular motion, the direction of the velocity changes constantly, so there is always an associated acceleration, even though the speed might be constant.

Why is angular velocity not constant in uniform circular motion?

The circular motion adjusts its radius in response to changes in speed. This means that the radius of the circular path is variable, unlike the case of uniform circular motion. In either case, the angular velocity in non-uniform circular motion is not constant as ω=vr ω = v r and v is varying.

Does velocity decrease as radius increases?

If you change the radius by shortening the string slowly, the speed (velocity is not technically appropriate here, that’s a vector) will increase. In this case, again, velocity increases as radius is decreased, but to do that and remain in orbit, one must fire engines to speed the satellite up!

Why does angular momentum increase with radius?

Angular momentum= Moment of Inertia×angular velocity. Therefore, As radius increases so does Angular momentum.