10TH GRADE · KINEMATICS
Free fall and circular motion
Fall without resistance and kinematics of uniform rotation.
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Basic Concepts
Free fall
The movement of a body is only under the influence of gravity without taking into account the resistance of the environment.
If air resistance can be neglected, the mass of the body does not affect the acceleration of the fall: all bodies move with the same g.
Uniform movement around a circle
Circular motion with a constant speed module.
The magnitude of the velocity is constant, but its direction is constantly changing, so the body has an acceleration towards the center of the circle.
Physical quantities
Acceleration of free fall
Acceleration of a body in free fall near the surface of a celestial body.
Unit: meters per second squared ·
Maximum height
The greatest height of body lifting.
Unit: meter ·
Radius
The distance from the center of a circle to its point.
Unit: meter ·
Circulation period
Time for one full revolution.
Unit: second ·
Frequency
The number of complete revolutions per unit of time.
Unit: hertz ·
Angular velocity
The speed of changing the angle of rotation.
Unit: radians per second ·
Rotation angle
The angle by which the radius of the body is rotated.
Unit: radian ·
Centripetal acceleration
Acceleration directed towards the center of the circle.
Unit: meters per second squared ·
Lesson formulas
Free fall speed
The speed of a body released without an initial speed increases in proportion to time.
Fall height over time
The height of free fall from rest is determined by time and acceleration.
Maximum lift height
The maximum vertical throw height is determined by the initial speed.
Speed through altitude
The speed of free fall from rest is determined by the height traveled.
Time to fall through altitude
The time it takes to fall freely from rest is determined by altitude.
Linear speed around a circle
In one period the body travels the length of a circle.
Relationship between linear and angular velocities
Linear speed equals angular speed times radius.
Angular velocity
Angular velocity is equal to the angle of rotation per time and two pi times the frequency.
Centripetal acceleration via speed
Centripetal acceleration increases with the square of the speed and decreases with the radius.
Centripetal acceleration via angular velocity
Centripetal acceleration is equal to the square of the angular velocity times the radius.
Related formulas
The same formulas in the reference, with symbols and units.
Tasks on the topic
Statements, answer options and the walkthrough.