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# What is the equation to determine tangential speed?

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## Related Questions

###### Asked in Physics

### Distinguish between tangential speed and rotational speed?

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.

###### Asked in Mechanical Engineering

### What is tangential speed?

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
equation
Thus, tangential speed will be directly proportional to r
when all parts of a system simultaneously have the same ω, as for a
wheel, disk, or rigid wand. (The direct proportionality of v
to r is not valid for planets, because planets have
different rotational speeds).

###### Asked in Maharasthra State Entrance Engineering Test MHT-CET

### What The formula to determine the speed of a wave?

wave speed is
the speed of which a wave travels.
Speed = Wavelength *
Frequency
The above equation is known as the wave equation. It states the
mathematical relationship between the speed (v) of a wave and its
wavelength (λ) and frequency (f). Using the symbols v, λ, and f,
the equation can be rewritten as
v = f * λ
*
=multiply

###### Asked in Trains and Railroads

### How does the tapered rim of the wheel on a railroad train allow one part of the rim to have a greater tangential speed than another part when it is rolling on a track?

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)

###### Asked in Physics

### What is the tangential speed of a passenger on a Ferris wheel that has a radius of 15 m and rotates once in 40 s?

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.