Physics
Rotation

# 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

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## Related Questions

Centripetal force is related to angular velocity in the following manner.F = m.w2rwhereF = Centripetal force [=] Nw = angular velocity [=] rad/sr = radius of rotation [=] mRPM is denoted for Round Per Minute and is the rate of revolution.RPM x 60 sec/min x 2pi rad/sec = wCentripetal force is then proportion to RPM2

Tangential velocity = (angular velocity) x (radius). With the angular velocity measured in radians per unit time.

Contrary to popular belief, water swirling down the drain is no related to the Earth's rotation or the Coriolis effect. The swirling vortex over the drain is likely related to angular momentum; the distance from the center of the rotation determines the speed of the rotation. o

There is linear acceleration which is related to motion in some given direction.a sub linear in x direction = d(v sub x) /dtThere is also angular acceleration which is related to motion following a curve, such as a circle.a sub radial = dw/dtwhere w is angular velocity in radians per second.

Both are velocity functions. Instantaneous velocity is the derivative of the average velocity * * * * * They are both speed functions. Velocity is a vector related to speed but quite irrelevant in this context. An object rotating at a constant [angular] speed has a velocity that is continuously changing but that has no relevance.

Seems it is related to simple harmonic oscillation The expression for velocity v = w ./ (a2 - x2) Plug x = a/2. and get the required v. w is the angular frequency

Force = mass x acceleration. Acceleration = force / mass. A force is needed to produce an acceleration (change of velocity). An object moving in a circle changes its direction, therefore its velocity changes; this requires a force, equal to mass x acceleration. (The centripetal acceleration can be calculated as a = v2 / r - speed squared divided by the radius of curvature.)

The adjective related to the noun rotation is rotational.An adjective related to the verb rotate is rotating.

No. Acceleration and speed are related in the same way irrespective of being linear or angular. Acceleration is rate of change of speed.

how are time zones related to earths rotation They arent related!111!!11

The Earth-Moon gravitational interaction that produces the tides is gradually slowing the Earth's rotation. So, the Earth loses angular momentum. That causes the Moon to gain angular momentum. The acceleration of the Moon causes its orbit to slowly get larger. See "related links" below. In the link, look for the headings "Tidal Braking of the Earth" and "Lunar Recession".

The answer is related to the conservation of angular momentum. A figure skater will maintain approximately the same angular momentum during their spin (minus a negligible amount due to the friction of their skates and wind resistance). When they move their arms in, they will reduce their rotational inertia by reducing the distance of the mass of her arms and hands from the axis of rotation. In order to maintain the same angular momentum, angular rotation is increased. See the link. Its called the angular conservation of energy. No matter what the skater's position the skater produces a certain amount of energy per second. When his / her hands are extended the distance of the rotation is larger. When he pulls his hands in the weight is unchanged. TO keep the energy at the same amount the difference has to be made up by increasing the number of spins per time unit.

Velocity is related to health in the sense that high velocity collisions are more damaging than low velocity collisions. Velocity is related to science in the sense that Newtonian mechanics deals with velocity.

When there is rotation, it is usually around an axis.

They are both constants related to angular measure.

Linear momentum is proportional to mass and velocity;p = mvThus, increase in mass will increase the linear momentumAngular momentum is similarly related:L = p.rL = mv.r

Acceleration is the rate of change of velocity.

The definition of velocity is the speed of something in a given direction. Therefore it's related to speed.

The acceleration of an object is related to velocity since acceleration is the rate of change of velocity.

No. An object has momentum only if it is in motion..There are two kinds of momentum: linear momentum(or translational momentum), and angular momentum (or rotational momentum)..Linear momentum is a vector quantity and is calculated as mass x velocity (p = mv). Therefore, if an object's velocity is zero, then it has no linear momentum, but if an object is in motion, then it does have linear momentum..VERY IMPORTANT NOTE: Velocity, and therefore linear momentum, is always relative to the frame of reference. For a more complete discussion about velocity, see the related answer, referenced below, entitled 'How to Find Velocity'..Angular momentum is a pseudovector quantity that describes the momentum of an object that is spinning or rotating in place. An object has angular momentum only when it is spinning, or rotating about an axis. When an object is not spinning or rotating, then it does not have angular momentum..It is possible for an object to have only linear momentum, only angular momentum, or both angular and linear momentum. Note that this discussion falls apart in quantum mechanics, so we are only discussing classical physics - that is, every day observable objects, and not light particles (photons), electrons, or other quantum particles..All objects do have inertia, which is a resistance to a change in its momentum.

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