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tangential speed is directly proportional to rotational speed at nay fixed distance from the axis of rotation
Tangential speed is how fast a point on a circular object is moving at a certain distance from the center whereas rotational speed is how many degrees (or radians) a point on the circle goes through in a period of time. Every point on a circle has the same rotational speed. The further out you go from the center, the higher the tangential speed is.
Tangential speed
we can say that tangential speed of the object is linearly proportional to the distance from the center. Increase in the distance results in the increase in the amount of speed. As we move to the center speed decreases, and at the center speed becomes zero.
Speed, compared to what? The Sun's apparent speed in the sky, from our point of view, is approximately 15 degrees an hour. The Sun's speed around the center of the Milky Way is approximately 220 km/second. I believe that most of that is tangential speed.
meters per second
Linear speed is the distance traveled per unit of time, while tangential speed (or tangential velocity) is the linear speed of something moving along a circular path.[5] A point on the outside edge of a merry-go-round or turntable travels a greater distance in one complete rotation than a point nearer the center. Traveling a greater distance in the same time means a greater speed, and so linear speed is greater on the outer edge of a rotating object than it is closer to the axis. This speed along a circular path is known as tangential speed because the direction of motion is tangentto the circumference of the circle. For circular motion, the terms linear speed and tangential speed are used interchangeably, and both use units of m/s, km/h, and others.Rotational speed (or angular speed) involves the number of revolutions per unit of time. All parts of a rigid merry-go-round or turntable turn about the axis of rotation in the same amount of time. Thus, all parts share the same rate of rotation, or the same number of rotations or revolutions per unit of time. It is common to express rotational rates in revolutions per minute (RPM) or in terms of the number of "radians" turned in a unit of time. There are little more than 6 radians in a full rotation (2π radians exactly). When a direction is assigned to rotational speed, it is known as rotational velocity or angular velocity. Rotational velocity is a vector whose magnitude is the rotational speed.Tangential speed and rotational speed are related: the greater the RPM's, the larger the speed in meters per second. Tangential speed is directly proportional to rotational speed at any fixed distance from the axis of rotation.[6] However, tangential speed, unlike rotational speed, depends on radial distance (the distance from the axis). For a platform rotating with a fixed rotational speed, the tangential speed in the center is zero. Towards the edge of the platform the tangential speed increases proportional to the distance from the axis.[7] In equation form:where v is tangential speed and ω (Greek letter omega) is rotational speed. One moves faster if the rate of rotation increases (a larger value for ω), and one also moves faster if movement farther from the axis occurs (a larger value for r). Move twice as far from the rotational axis at the center and you move twice as fast. Move out three times as far and you have three times as much tangential speed. In any kind of rotating system, tangential speed depends on how far you are from the axis of rotation.When proper units are used for tangential speed v, rotational speed ω, and radial distance r, the direct proportion of v to both r and ω becomes the exact equationThus, tangential speed will be directly proportional to rwhen all parts of a system simultaneously have the same ω, as for a wheel, disk, or rigid wand. (The direct proportionality of vto r is not valid for planets, because planets have different rotational speeds).
Texas because Texas has the most penises
because of tangential speed
Tangential speed, unlike rotational speed, depends on radial distance. At the very center of the rotating platform, you have no speed at all; you merely rotate. But, as you approach the edge of the platform, you find yourself moving faster and faster. Tangential speed is directly proportional to distance from the axis for any given rotational speed. (https://sites.google.com/site/reyesmityville/physics)
The tangential speed of a point on the outer rim of the wheel is (circumference) divided by (time per rotation) = (30 pi) / (40) = 2.356 meters per second. (rounded) The passenger's tangential speed depends on how close to the rim he sits. Anywhere on the wheel, it has to be 2.356 meters per second or less.
If you simply measure the circumference of its orbit (length of string multiplied by 6.282) and then the time it takes to complete a lap, you will find out its speed. This should be the same as the tangential speed if the tether breaks.