The movement of an object in a circular path is known as circular motion. The motion can be uninform or non-uninform. Examples of real life experiences include: merry-go-round, moving in a fan blade, spinning top, rotation of the earth on its axis, and act of artificial satellite ortbiting the earth.
Calculation of the centripetal for an object in circular motion
First, it is important to note that a body motion with constant speed in circula path moves at a constant velocity. Due to the change in velocity, the body is said to accelerate. .centripetal acceleration is caused by the resultant force (centripetal force).
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Centripetal acceleration can be calculated using:
A=v 2 /r
Where:
a = centripetal acceleration (m/s 2 )
v = velocity (m/s)
r = radius of the circle (m)
And from Newton's Second Law:
F = ma , so
F=mv 2 / r
This is an equation for centripetal force.
Formula for linear velocity
The formula can be written as:
Velocity = Displacement ÷Time interval
Velocity is a vector quantity. The velocity of a body can be negative, positive or zero, depending on the displacement. The Standard Unit (SI Unit) for velocity is ms -1. .
The liner velocity can be calculated using the formula:
V=D/T
Where,
V = Linear velocity.
D = Displacement.
Also, v = u + at
Where, v is linear velocity, u is the initial linear velocity, and a is acceleration is the body.
Also, v 2 – U 2 = 2aS
Where u and v is the initial and final linear velocity, and a is the acceleration, where S is the body’s displacement.
T = time taken to cover the displacement.
Linear velocity or the tangential velocity, in a circular path, it increases with the increase in radius. A decrease in radius decreases the linear velocity as well.
