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
What are the differences between inertial and non-inertial frames of reference?
Inertial: Newton's laws hold true, non-accelerating | Non-inertial: Newton's laws don't apply, accelerating or under strong gravity.
What is the difference between rotational velocity and rotational acceleration?
Rotational velocity: How fast an object is rotating | Rotational acceleration: How quickly the rotational velocity changes.
Differentiate between a vector and a scalar quantity.
Vector: Has magnitude and direction | Scalar: Has only magnitude.
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).
Define 'rotational acceleration (α)'.
How quickly the rotational velocity changes, measured in radians per second squared (rad/s²).
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.
What is a 'vector'?
A quantity with both magnitude and direction. Examples: force, displacement, velocity, acceleration.
What is a 'scalar'?
A quantity with only magnitude. Examples: mass, time, speed.