All Flashcards
How do you convert degrees to radians?
Multiply the angle in degrees by π/180.
What is the formula for calculating tangential velocity (v) given rotational velocity (ω) and radius (r)?
v = ωr
What is the formula for calculating tangential acceleration (a) given rotational acceleration (α) and radius (r)?
a = αr
How do you calculate rotational velocity (ω) from change in angle (Δθ) and change in time (Δt)?
ω = Δθ/Δt
How do you calculate rotational acceleration (α) from change in rotational velocity (Δω) and change in time (Δt)?
α = Δω/Δt
How do you calculate angular velocity (ω) in terms of period (T)?
ω = 2π/T
Define 'inertial frame of reference'.
A frame where Newton's laws hold true; objects at rest stay at rest, and objects in motion stay in motion at a constant velocity unless acted upon by a force.
What is 'rotational velocity' (ω)?
How fast an object is rotating, measured in radians per second (rad/s). It’s the rotational version of linear velocity.
Define 'rotational acceleration' (α).
How quickly the rotational velocity changes, measured in radians per second squared (rad/s²). It’s the rotational version of linear acceleration.
What is 'centripetal acceleration' (ac)?
Acceleration towards the center of a circular path.
Define 'net force'.
The vector sum of all forces acting on an object.
Define 'vector'.
A quantity with both magnitude and direction. Examples: force, displacement, velocity, acceleration.
What is a 'scalar' quantity?
A quantity with only magnitude. Examples: mass, time, speed.
How do you convert degrees to radians?
Multiply the angle in degrees by π/180.
Describe the process of finding net force.
Identify all forces acting on the object, resolve forces into components, sum the components in each direction (x, y, z), calculate the magnitude and direction of the resultant vector.