Tangential Velocity Formula
Tangential Velocity Formula
Any object moving along a circular path has a linear component to its speed called tangential velocity. An object’s velocity is always pointed tangentially when it travels in a circle at a distance r from the centre. Tangential velocity is the name given to this. Additionally, we can state that the linear velocity is always the tangential velocity. This is the base of Tangential Velocity Formula.
In higher level classes, students can learn more about the Tangential Velocity Formula. It is one of the most important physics concepts, but students might find it difficult. This is as a result of the difficulties that students face when studying physics and concepts like Tangential Velocity Formula. The students are introduced to concepts like the Tangential Velocity Formula very late, and this may make it slightly more difficult for them to comprehend all of the concepts. Although most students rely on their textbooks to understand the Tangential Velocity Formula, this may not be sufficient. The Tangential Velocity Formula is a difficult concept that might intimidate students.
What is Tangential Velocity?
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The Tangential Velocity Formula is covered in several different class curricula across boards. This demonstrates how significant the subject of the Tangential Velocity Formula is. For understanding concepts like the Tangential Velocity Formula, students from all grade levels rely on the textbooks. Additional online learning resources can aid in a better understanding of the topic. There are many online learning resources, but not all of them are trustworthy. Students must have access to a trustworthy learning resource in order to gain a basic understanding of crucial concepts like the Tangential Velocity Formula. On Extramarks, students can look at the study materials for the Tangential Velocity Formula. These study materials were created and selected by knowledgeable educators from across the country.
Simply put, a tangent is a line that only ever touches one point of a non-linear curve, such as a circle. On a two-dimensional graph, it shows an equation describing the relationship between the coordinates “x” and “y.”
The measurement of speed at any point parallel to a rotating wheel in a circular motion is known as the tangential velocity. Thus, the tangential velocity, Vt, and the angular velocity,, are related by the formula. The part of motion along a circle’s edge that can be measured at any given time is called tangential velocity. Tangential velocity, as suggested by its name, refers to the motion of an object along the circumference of a circle, with its direction at any given point always being along the tangent to that point.
The Formula for Tangential Velocity
To begin, we must compute the angular displacement, which is the ratio of the length of the arc’s’ traced by an object on this circle to its radius ‘r’. It is measured in radians.
The rate of change of the object’s angular displacement is its angular velocity. It is denoted by ω and its standard unit is radians per second.
It differs from linear velocity in that it only applies to objects moving in a circular motion. As a result, it determines the rate at which angular displacement is swept.
Tangential Velocity Formula is: Vt=r×dθdt
Tangential Velocity Formula can also be: Vt=r×ω
Another formula for Tangential Velocity is: Vt=2πrt
Where,
Vt Tangential Velocity
r The radius of the circular path
ω Angular Velocity
t Time
θ Angular Displacement
Tangential velocity formula is applicable in calculating the tangential velocity of any object moving in a circular path. Its unit is meter per second.
Solved Examples for Tangential Velocity Formula
Q.1: If the angular velocity of a wheel is 40 \frac{rad}{s}, and the wheel diameter is 60 cm. Determine the tangential velocity of the wheel.
Solution: Given parameters are,
Radius, r=12×diameter
r=12×60
r= 30 cm
r = 0.30 m.
Angular velocity, ω=40radpers.
Tangential velocity formula is as given:
Vt=r×ω
=0.30×40
= 12 m/s
Thus tangential velocity will be 12 meters per sec.
Q.2: If a wheel is turning with a speed of 12 m per sec, and its angular velocity is 6 radians per sec. Then find out its radius.
Solution: The tangential velocity is as follows,
Vt=12mpersec.
The angular velocity, ω, is 6 radians/sec.
Now the formula for tangential velocity is:
Vt=r×ω
Rearranging it,
r=Vtω
=126
= 2 m
Therefore, the radius is 2 meters.
