Understanding the Relationship Between Linear Velocity and Angular Velocity
How are linear velocity and angular velocity related?
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Response area is the change in distance over time, where the distance is the circumference of a circle.
It can be represented by response area or v.
Answer:
Linear velocity and angular velocity are related in the following way: The linear velocity and angular velocity are related to each other as they are proportional to each other. The linear velocity is the tangential speed of an object moving in a circular path at a given instant. It is the rate of change of the angular displacement of an object with respect to time. The angular velocity is the change in the angular displacement of an object with respect to time.
Linear velocity is defined as the rate of change of displacement, whereas angular velocity is the rate of change of angular displacement. The two velocities are related by the formula:
v = r * ω
Where:
v is linear velocity
r is the radius of the circle
ω is the angular velocity
ω = θ / t
Where:
θ is the angular displacement
t is the time taken
Therefore, we can say that the linear velocity v is directly proportional to the radius r of the circle and the angular velocity ω. The formula for linear velocity can also be written as:
v = 2 * π * r / T
Where:
T is the time period
The linear velocity of an object moving in a circle is the distance traveled by the object along the circumference of the circle in unit time. It can be represented by v or ωr. In other words, it is the speed at which an object moves around the circumference of a circle.