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The linear (tangential) speed of a point on a spinning circle is

(angular speed of the spin) x (radius of the circle). Note that this only works if the angular speed is in units of radians/time .

To convert degrees to radians, multiply by (pi)/180 ... about 0.01745 .

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10y ago
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12y ago

Angular velocity = angle / time

(or)

Angular velocity = 2 x pi x radius of circular path / Period

(or)

linear velocity= cross product of radius and angular velocity

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8y ago

(linear velocity) = (angular velocity) x radius

All angles must be in radians - and angular velocity in radians / (some time unit), for example, radians/seconds. If you have other units, you must convert. For example, if you have 10 degrees a minute, you can multiply by (pi / 180) to convert to radians/minute. If you have revolutions per second, you can multiply by 2 x pi, to convert to radians per second.

1. You need circular motion for the conversion to work. If the motion is not circular, things are more complicated.

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12y ago

average speed is total distance covered in total time. For example, if a body covers a distance d in time t and a distance D in time T, then its average speed will be

v=(d+D)/(t+T)

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13y ago

v=w*r

v-linear speed

w-angular(rotatinal) speed

r-objects radius

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11y ago

Angular momentum is the product of the moment of inertia, and the angular velocity.

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12y ago

Angular speed =

(size of the angle turned in some period of time) divided by (the time taken to turn that angle).

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12y ago

1/2 m (v)2

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Q: What is the formula to convert angular speed to linear speed?
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Continue Learning about Natural Sciences

Is angular speed a vector?

Scalar. Angular frequency vector is roughly synonymous with angular velocity.


Do planets revolve around the sun at the same speed?

A planet has an elliptical shaped orbit. It orbits with a constant angular speed, but a varying linear speed.


What could Kepler's second law be used to measure?

Kepler's second law says that the line joining a planet to the Sun sweeps out equal areas in equal time. Kepler noticed that when a planet's orbit takes it slightly further from the Sun, it moves more slowly. He deduced from calculations made from observations that when the distance increases by 1%, the angular speed decreases by 1%, so the distance times the angular speed, which is the area swept out per second, stays constant. He found this is true all the time for all the planets, a very important discovery in the history of science. The planet's mass times the distance times the angular speed is the angular momentum, and this stays constant. So angular momentum is 'conserved' as the planet goes round, speeding up and slowing down in its orbit. Therefore the second law is now known as a statement of an important physical principle called the Conservation of Angular Momentum. In this way Kepler's second law contributed to scientific progress after his death. Angular speed is measured in radians per second, and the angular momentum is mass times distance times angular speed. For a single particle it is equal to the linear momentum of the particle (mass times speed), while for a rigid body it is the angular speed times the moment of inertia.


What is the difference between angular and linear diameter?

linear velocity is a change of speed in a linear fashion. Angular speed is the rate of change of angle with respect to time. These two are convertible in a case of a circle motion. the lenght of an arc is l = RO. where O is the angle. hence v= l/t and therefore v=RA where A = O/t.


Where is the earth's greatest linear speed?

equator

Related questions

How do you convert angular speed to linear speed?

divide the linear speed by the radius


How do you convert linear speed to angular speed?

Linear speed is the speed of an object along its path of motion. Angular speed is how fast an object is changing its angle (rotating) about an axis.


Question about linear speed and angular speed?

what is the relation angular speed and angular speed with clutch disc plate


Is angular speed the same as angular acceleration?

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


How does a change in radius effect linear velocity?

For circular motion, linear speed = angular speed (in radians) x radius. How the radius affects speed depends what assumptions you make about the problem. For example, if you assume the radius increases but the angular speed does not, then of course the linear speed will increase.


What is angular speed and angular velocity?

That is analogous to linear speed and velocity, but for rotation. Whereas a linear speed (or velocity) is expressed in meters per second (or some other units of distance / time), the angular speed or velocity is expressed in radians / second (or some other units of angle / time). Of course, when something rotates, there is also a linear speed, but different parts of an object rotate at different linear speeds, whereas the angular speed is the same for all parts of a rotating object - at least, in the case of a solid object. For example: the Earth rotates at an angular speed of 1 full rotation / day. The linear speed at the equator is approximately 1667 km/hour; close to the poles, the linear speed is much less.


What is ment by angular momentum and angular velocity?

Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.


How do you convert rpm to radians?

It is not possible. Radians are a measure of angular displacement while rpm is a measure of the rate of change of angular displacement. The question is like asking to convert speed into distance.


How do you convert radians per seconds into degrees?

You cannot. Radians per second is a measure of angular speed whereas degrees are an angular measure.


What is the formula in getting centripetal force and it's net horizontal force?

One formula for centripetal force is v2/2 - the square of the velocity (speed, actually) divided by the radius. Another is omega2r, where omega is the angular speed, in radians/second.One formula for centripetal force is v2/2 - the square of the velocity (speed, actually) divided by the radius. Another is omega2r, where omega is the angular speed, in radians/second.One formula for centripetal force is v2/2 - the square of the velocity (speed, actually) divided by the radius. Another is omega2r, where omega is the angular speed, in radians/second.One formula for centripetal force is v2/2 - the square of the velocity (speed, actually) divided by the radius. Another is omega2r, where omega is the angular speed, in radians/second.


How to Convert revolution per minute to metres per minute?

You cannot. Revolutions per minute are a measure of angular velocity whereas metres per minute are a measure of linear velocity. There is no simple way to convert from one to the other. For example, at any given rpm, a point on the rim of a wheel is moving much faster than a point near the hub. You need the distance of a point from the axis of revolution (in metres) to convert angular speed to linear speed. If the distance from the centre is r metres then the point moves through 2*pi*r metres every revolution. ie 1 rpm = 2*pi*r linear metres per minute.


Why radian is prefered over degrees in calculations?

Many calculations are simpler when angles are measured in radians. One example is the series expansion (infinite sum) for the sine and cosine function. Another example is the formula that relates linear speed and angular speed in the case of a rotation.